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# A Manga Guide to Calculus: Unlocking the Secrets of Infinitesimal Change Through Comics
Description:
Learning calculus can often feel like navigating a dense forest of abstract concepts and complex formulas. For many students, the traditional textbook approach proves daunting, leading to frustration and a lack of understanding. "A Manga Guide to Calculus," however, offers a revolutionary approach. This unique book utilizes the engaging storytelling and visually appealing format of manga to demystify the core principles of calculus. By weaving mathematical concepts into a captivating narrative, this guide makes learning calculus accessible and enjoyable for students of all levels, from high school beginners to college undergraduates seeking a supplementary resource. It simplifies complicated ideas, turning abstract formulas into tangible, relatable scenarios, making even the most challenging theorems feel approachable. This "Manga Guide to Calculus" is not simply a simplified textbook; it’s a dynamic learning experience that fosters a deep understanding of calculus through compelling characters and visually intuitive explanations. "A Manga Guide to Calculus" promises to transform the learning experience, making this traditionally difficult subject significantly more manageable and even fun.
Author: Dr. Hiroshi Tanaka (Fictional Author Profile)
Dr. Hiroshi Tanaka, PhD, is a renowned mathematician and educator with over 20 years of experience teaching calculus at both the undergraduate and graduate levels. His innovative teaching methods, focusing on visual aids and relatable analogies, have garnered him widespread acclaim. Dr. Tanaka holds a PhD in Mathematics from Tokyo University and has authored numerous peer-reviewed publications on mathematical pedagogy. His passion for making complex mathematical concepts accessible to a wider audience led him to create "A Manga Guide to Calculus," a project he believes will revolutionize how students approach this crucial subject. His background in manga illustration further contributes to the book's engaging and approachable style.
Keyword: a manga guide to calculus
Summary:
"A Manga Guide to Calculus" presents a comprehensive introduction to differential and integral calculus, employing the engaging storytelling format of Japanese manga. The book meticulously covers key concepts such as limits, derivatives, integrals, and applications in various fields. Instead of relying solely on dense mathematical formulas, the book utilizes a narrative structure where characters face mathematical challenges and solve them through the application of calculus principles. The manga format visually represents abstract concepts, such as slopes of tangent lines and areas under curves, making them easier to grasp. The book breaks down complex topics into smaller, manageable chunks, presenting each concept with clear explanations and numerous examples. Interactive exercises and practice problems are interspersed throughout the narrative, reinforcing understanding and encouraging active learning. "A Manga Guide to Calculus" is not just a passive reading experience; it's a journey of discovery where readers actively participate in the learning process alongside the characters in the manga. The book’s focus is on building intuition and fostering a conceptual understanding, making it an ideal resource for those who struggle with traditional calculus textbooks. The aim is not just to teach students how to solve calculus problems, but also why these techniques work, cultivating a deeper and more lasting understanding.
Publisher: TokyoPop Educational (Fictional Publisher)
TokyoPop Educational is a leading publisher of innovative educational materials, known for its commitment to blending engaging storytelling with rigorous academic content. With a strong reputation for creating high-quality textbooks and supplementary learning resources, TokyoPop Educational has consistently pushed the boundaries of educational publishing, aiming to make learning more accessible and enjoyable for students of all ages and backgrounds. Their expertise in manga publishing further complements their mission of providing innovative and engaging educational materials.
Editor: Akiko Sato (Fictional Editor Profile)
Akiko Sato is a senior editor at TokyoPop Educational with extensive experience in educational publishing and a deep understanding of mathematics. Her background in mathematics education ensures the accuracy and clarity of the mathematical content presented in "A Manga Guide to Calculus." Akiko’s meticulous editing ensures that the book is not only mathematically sound but also engaging and accessible to a broad readership. Her expertise in manga storytelling ensures the narrative is both compelling and pedagogically effective.
A Deep Dive into the Chapters of "A Manga Guide to Calculus"
"A Manga Guide to Calculus" is structured to provide a gradual and engaging learning experience. It begins with the foundational concepts, building progressively towards more advanced topics. Here's a glimpse into the book's structure:
Part 1: Foundations of Calculus: This section lays the groundwork, introducing fundamental concepts like functions, limits, and continuity. The manga format effectively illustrates these concepts visually, using graphs and diagrams to bring abstract ideas to life. Characters within the story encounter real-world scenarios requiring them to understand these fundamental principles. For example, a scene might depict characters analyzing the trajectory of a projectile, naturally introducing the concept of limits and rates of change.
Part 2: Differential Calculus: This section focuses on the core concepts of differential calculus, including derivatives, tangent lines, and rates of change. The manga creatively visualizes the concept of a derivative as the instantaneous rate of change, using examples such as the speed of a car or the slope of a curve. Complex concepts like implicit differentiation and related rates are made more accessible through interactive examples and problem-solving within the narrative.
Part 3: Applications of Differential Calculus: Here, the book explores various applications of differential calculus, covering topics like optimization problems (finding maximum and minimum values), related rates problems (exploring how changes in one variable affect other variables), and curve sketching. The manga utilizes captivating scenarios to illustrate these applications, making the learning process engaging and practical. For instance, optimization problems could involve maximizing the area of a garden or minimizing the cost of materials.
Part 4: Integral Calculus: This section introduces the fundamentals of integral calculus, covering topics such as Riemann sums, definite and indefinite integrals, the Fundamental Theorem of Calculus, and techniques of integration. The manga brings the abstract concept of integration to life by visualizing areas under curves and volumes of solids of revolution. Intuitive explanations, coupled with clear visualizations, help students grasp the connection between derivatives and integrals.
Part 5: Applications of Integral Calculus: This final section delves into the applications of integral calculus, covering topics like areas between curves, volumes of solids of revolution, and applications in physics and engineering. The book employs engaging examples to demonstrate the practicality of integral calculus, showcasing its real-world relevance. This section emphasizes problem-solving and applying learned concepts to diverse situations.
Conclusion:
"A Manga Guide to Calculus" offers a unique and effective approach to learning calculus. By harnessing the power of manga storytelling and visual learning, it transforms a notoriously challenging subject into an engaging and accessible experience. The book's carefully structured curriculum, combined with its interactive approach, makes it an invaluable resource for students of all backgrounds and learning styles. Whether you're a high school student taking your first calculus course or a college student seeking to solidify your understanding, "A Manga Guide to Calculus" is a powerful tool that can help you unlock the secrets of infinitesimal change and master this crucial area of mathematics. Its blend of rigorous mathematical content and captivating storytelling makes it a truly innovative contribution to the field of mathematics education.
FAQs:
1. Is this book suitable for complete beginners? Yes, "A Manga Guide to Calculus" starts with the fundamentals, making it perfect for beginners with little to no prior calculus knowledge.
2. Does the book cover both differential and integral calculus? Yes, it covers both differential and integral calculus comprehensively.
3. Are there practice problems included? Yes, numerous practice problems and exercises are integrated throughout the manga's narrative.
4. What makes this book different from traditional calculus textbooks? Its engaging manga format and visually intuitive explanations make complex concepts easier to understand and remember.
5. Is this book suitable for self-study? Absolutely! The clear explanations and interactive elements make it ideal for self-paced learning.
6. What level of mathematics is required before reading this book? A basic understanding of algebra and trigonometry is recommended.
7. Is this book only suitable for students? No, anyone interested in learning calculus, regardless of their background, can benefit from this book.
8. What kind of manga style is used in the book? The style is clean, clear, and easy to follow, prioritizing readability and understanding over intricate artistic detail.
9. Where can I purchase "A Manga Guide to Calculus"? You can find it at major online bookstores and select educational retailers.
Related Articles:
1. "Calculus Made Easy: A Manga Approach to Derivatives": Focuses specifically on differential calculus using a simplified manga approach.
2. "Conquering Integrals: A Manga Guide to Integration Techniques": This article delves deeper into the various integration methods, explained visually through manga.
3. "Calculus in Action: Real-World Applications in Manga": Showcases practical applications of calculus in everyday situations presented through manga panels.
4. "The Manga Guide to Linear Algebra": A companion piece showing how linear algebra relates to and supports calculus concepts.
5. "Mastering Limits: A Manga-Style Guide to Limits and Continuity": A tutorial focusing specifically on the foundational concept of limits.
6. "A Visual Guide to the Fundamental Theorem of Calculus (Manga Style)": A detailed, illustrated explanation of the cornerstone theorem of calculus.
7. "Calculus for Artists: Applying Calculus to 2D and 3D Design (Manga Examples)": Expands into the use of calculus in graphic design and illustration.
8. "Calculus and Physics: Solving Problems with Manga Illustrations": Connects calculus concepts to the laws of physics using manga to visualize the solutions.
9. "Reviewing Calculus Concepts Through Manga: A Comprehensive Guide to Practice Problems": Provides additional practice exercises and solutions with manga-style explanations.
| a manga guide to calculus: The Manga Guide to Calculus Hiroyuki Kojima, Shin Togami, Co Ltd Becom, 2009-08-01 Noriko is just getting started as a junior reporter for the Asagake Times. She wants to cover the hard-hitting issues, like world affairs and politics, but does she have the smarts for it? Thankfully, her overbearing and math-minded boss, Mr. Seki, is here to teach her how to analyze her stories with a mathematical eye. In The Manga Guide to Calculus, you'll follow along with Noriko as she learns that calculus is more than just a class designed to weed out would-be science majors. You'll see that calculus is a useful way to understand the patterns in physics, economics, and the world around us, with help from real-world examples like probability, supply and demand curves, the economics of pollution, and the density of Shochu (a Japanese liquor). Mr. Seki teaches Noriko how to: –Use differentiation to understand a function's rate of change –Apply the fundamental theorem of calculus, and grasp the relationship between a function's derivative and its integral –Integrate and differentiate trigonometric and other complicated functions –Use multivariate calculus and partial differentiation to deal with tricky functions –Use Taylor Expansions to accurately imitate difficult functions with polynomials Whether you're struggling through a calculus course for the first time or you just need a painless refresher, you'll find what you're looking for in The Manga Guide to Calculus. This EduManga book is a translation from a bestselling series in Japan, co-published with Ohmsha, Ltd. of Tokyo, Japan. |
| a manga guide to calculus: The Manga Guide to Physics Hideo Nitta, Keita Takatsu, Co Ltd Trend, 2009-05-01 Megumi is an all-star athlete, but she's a failure when it comes to physics class. And she can't concentrate on her tennis matches when she's worried about the questions she missed on the big test! Luckily for her, she befriends Ryota, a patient physics geek who uses real-world examples to help her understand classical mechanics—and improve her tennis game in the process! In The Manga Guide to Physics, you'll follow alongside Megumi as she learns about the physics of everyday objects like roller skates, slingshots, braking cars, and tennis serves. In no time, you'll master tough concepts like momentum and impulse, parabolic motion, and the relationship between force, mass, and acceleration. You'll also learn how to: –Apply Newton's three laws of motion to real-life problems –Determine how objects will move after a collision –Draw vector diagrams and simplify complex problems using trigonometry –Calculate how an object's kinetic energy changes as its potential energy increases If you're mystified by the basics of physics or you just need a refresher, The Manga Guide to Physics will get you up to speed in a lively, quirky, and practical way. |
| a manga guide to calculus: The Manga Guide to Calculus Hiroyuki Kojima, Shin Togami, Becom Co., Ltd., 2009-08-01 Noriko is just getting started as a junior reporter for the Asagake Times. She wants to cover the hard-hitting issues, like world affairs and politics, but does she have the smarts for it? Thankfully, her overbearing and math-minded boss, Mr. Seki, is here to teach her how to analyze her stories with a mathematical eye. In The Manga Guide to Calculus, you'll follow along with Noriko as she learns that calculus is more than just a class designed to weed out would-be science majors. You'll see that calculus is a useful way to understand the patterns in physics, economics, and the world around us, with help from real-world examples like probability, supply and demand curves, the economics of pollution, and the density of Shochu (a Japanese liquor). Mr. Seki teaches Noriko how to: –Use differentiation to understand a function's rate of change –Apply the fundamental theorem of calculus, and grasp the relationship between a function's derivative and its integral –Integrate and differentiate trigonometric and other complicated functions –Use multivariate calculus and partial differentiation to deal with tricky functions –Use Taylor Expansions to accurately imitate difficult functions with polynomials Whether you're struggling through a calculus course for the first time or you just need a painless refresher, you'll find what you're looking for in The Manga Guide to Calculus. This EduManga book is a translation from a bestselling series in Japan, co-published with Ohmsha, Ltd. of Tokyo, Japan. |
| a manga guide to calculus: The Manga Guide to Regression Analysis Shin Takahashi, Iroha Inoue, Co Ltd Trend, 2016-05-01 Like a lot of people, Miu has had trouble learning regression analysis. But with new motivation—in the form of a handsome but shy customer—and the help of her brilliant café coworker Risa, she’s determined to master it. Follow along with Miu and Risa in The Manga Guide to Regression Analysis as they calculate the effect of temperature on iced tea orders, predict bakery revenues, and work out the probability of cake sales with simple, multiple, and logistic regression analysis. You’ll get a refresher in basic concepts like matrix equations, inverse functions, logarithms, and differentiation before diving into the hard stuff. Learn how to: –Calculate the regression equation –Check the accuracy of your equation with the correlation coefficient –Perform hypothesis tests and analysis of variance, and calculate confidence intervals –Make predictions using odds ratios and prediction intervals –Verify the validity of your analysis with diagnostic checks –Perform chi-squared tests and F-tests to check the goodness of fit Whether you’re learning regression analysis for the first time or have just never managed to get your head around it, The Manga Guide to Regression Analysis makes mastering this tricky technique straightforward and fun. |
| a manga guide to calculus: The Manga Guide to Electricity Kazuhiro Fujitaki, Matsuda, Co Ltd Trend, 2009-03-01 Rereko is just your average high-school girl from Electopia, the land of electricity, but she's totally failed her final electricity exam! Now she has to go to summer school on Earth. And this time, she has to pass. Luckily, her ever-patient tutor Hikaru is there to help. Join them in the pages of The Manga Guide to Electricity as Rereko examines everyday electrical devices like flashlights, heaters, and circuit breakers, and learns the meaning of abstract concepts like voltage, potential, current, resistance, conductivity, and electrostatic force. The real-world examples that you'll find in The Manga Guide to Electricity will teach you: –What electricity is, how it works, how it's created, and how it can be used –The relationship between voltage, current, and resistance (Ohm's law) –Key electrical concepts like inductance and capacitance –How complicated components like transformers, semiconductors, diodes, and transistors work –How electricity produces heat and the relationship between current and magnetic fields If thinking about how electricity works really fries your brain, let The Manga Guide to Electricity teach you all things electrical in a shockingly fun way. |
| a manga guide to calculus: The Manga Guide to Statistics Shin Takahashi, 2009-01-06 The Manga Guide to Statistics capitalizes on the international manga phenomenon. This first in a series of EduManga titles from No Starch Press (co-published with Ohmsha, Ltd. of Japan), The Manga Guide to Statistics uses manga to introduce the reader to the world of statistics. Rather than learning from a dry textbook, readers follow the animated adventures of Rui and her teacher, Mamoru Yamamoto, as Rui interacts with a colorful cast of characters. The book consists of seven chapters, each containing a cartoon, text to supplement the cartoon, an exercise and answer section, and a summary. Readers learn about working with numerical and categorical data; probability; relationships between two variables; tests of independence; even how to perform calculations in Microsoft Excel. Other titles in the series will cover topics like databases, electricity, and physics. |
| a manga guide to calculus: The Manga Guide to Physiology Etsuro Tanaka, Keiko Koyama, Becom Co., Ltd., 2015-11-01 Student nurse Kumiko has just flunked her physiology exam and has one last shot at passing her makeup test. Lucky for her, newbie health science professor Kaisei needs a guinea pig for his physiology lectures. Join Kumiko in The Manga Guide to Physiology as she examines the inner workings of the body while training hard for the campus marathon. You’ll learn all about: –How the digestive system and the Citric Acid Cycle break food down into nutrients and energy –How the body regulates temperature and vital fluids –The body’s powerful cell defense system, led by helper T cells and enforced by macrophages –The architecture of the central nervous system –The kidneys’ many talents: blood filtration, homeostasis, and energy production You’ll also gain insight into medical procedures like electrocardiograms, blood pressure tests, spirograms, and more. Whether you’re cramming for a test like Kumiko or just want a refresher, The Manga Guide to Physiology is your fun, cartoon guide to the human body. |
| a manga guide to calculus: The Manga Guide to Linear Algebra Shin Takahashi, Iroha Inoue, Co Ltd Trend, 2012-05-01 Reiji wants two things in life: a black belt in karate and Misa, the girl of his dreams. Luckily, Misa's big brother is the captain of the university karate club and is ready to strike a deal: Reiji can join the club if he tutors Misa in linear algebra. Follow along in The Manga Guide to Linear Algebra as Reiji takes Misa from the absolute basics of this tricky subject through mind-bending operations like performing linear transformations, calculating determinants, and finding eigenvectors and eigenvalues. With memorable examples like miniature golf games and karate tournaments, Reiji transforms abstract concepts into something concrete, understandable, and even fun. As you follow Misa through her linear algebra crash course, you'll learn about: –Basic vector and matrix operations such as addition, subtraction, and multiplication –Linear dependence, independence, and bases –Using Gaussian elimination to calculate inverse matrices –Subspaces, dimension, and linear span –Practical applications of linear algebra in fields like computer graphics, cryptography, and engineering But Misa's brother may get more than he bargained for as sparks start to fly between student and tutor. Will Reiji end up with the girl—or just a pummeling from her oversized brother? Real math, real romance, and real action come together like never before in The Manga Guide to Linear Algebra. |
| a manga guide to calculus: The Manga Guide to Databases Mana Takahashi, Shoko Azuma, Co Ltd Trend, 2009-01-15 Want to learn about databases without the tedium? With its unique combination of Japanese-style comics and serious educational content, The Manga Guide to Databases is just the book for you. Princess Ruruna is stressed out. With the king and queen away, she has to manage the Kingdom of Kod's humongous fruit-selling empire. Overseas departments, scads of inventory, conflicting prices, and so many customers! It's all such a confusing mess. But a mysterious book and a helpful fairy promise to solve her organizational problems—with the practical magic of databases. In The Manga Guide to Databases, Tico the fairy teaches the Princess how to simplify her data management. We follow along as they design a relational database, understand the entity-relationship model, perform basic database operations, and delve into more advanced topics. Once the Princess is familiar with transactions and basic SQL statements, she can keep her data timely and accurate for the entire kingdom. Finally, Tico explains ways to make the database more efficient and secure, and they discuss methods for concurrency and replication. Examples and exercises (with answer keys) help you learn, and an appendix of frequently used SQL statements gives the tools you need to create and maintain full-featured databases. (Of course, it wouldn't be a royal kingdom without some drama, so read on to find out who gets the girl—the arrogant prince or the humble servant.) This EduManga book is a translation of a bestselling series in Japan, co-published with Ohmsha, Ltd., of Tokyo, Japan. |
| a manga guide to calculus: The Manga Guide to Cryptography Masaaki Mitani, Shinichi Sato, Idero Hinoki, Verte Corp., 2018-07-31 Cryptography is hard, but it’s less hard when it’s filled with adorable Japanese manga. The latest addition to the Manga Guide series, The Manga Guide to Cryptography, turns the art of encryption and decryption into plain, comic illustrated English. As you follow Inspector Jun Meguro in his quest to bring a cipher-wielding thief to justice, you’ll learn how cryptographic ciphers work. (Ciphers are the algorithms at the heart of cryptography.) Like all books in the Manga Guide series, The Manga Guide to Cryptography is illustrated throughout with memorable Japanese manga as it dives deep into advanced cryptography topics, such as classic substitution, polyalphabetic, and transposition ciphers; symmetric-key algorithms like block and DES (Data Encryption Standard) ciphers; and how to use public key encryption technology. It also explores practical applications of encryption such as digital signatures, password security, and identity fraud countermeasures. The Manga Guide to Cryptography is the perfect introduction to cryptography for programmers, security professionals, aspiring cryptographers, and anyone who finds cryptography just a little bit hard. |
| a manga guide to calculus: The Manga Guide to Molecular Biology Masaharu Takemura, Sakura, Becom Co., Ltd., 2009-08-01 Rin and Ami have been skipping molecular biology class all semester, and Professor Moro has had enough—he's sentencing them to summer school on his private island. But they're in store for a special lesson. Using Dr. Moro's virtual reality machine to travel inside the human body, they'll get a close-up look at the fascinating world of molecular biology. Join them in The Manga Guide to Molecular Biology, and learn all about DNA, RNA, proteins, amino acids, and more. Along the way, you'll see chemical reactions first-hand and meet entertaining characters like Enzyme Man and Drinkzilla, who show how the liver metabolizes alcohol. Together with Ami and Rin, you'll learn all about: –The organelles and proteins inside cells, and how they support cellular functions –The processes of transcription and translation, and your genes' role in synthesizing proteins –The pieces that make up our genetic code, like nucleotides, codons, introns, and exons –The processes of DNA replication, mitosis and cytokinesis –Genetic technology like transduction and cloning, and the role of molecular biology in medicine Whether you need a molecular biology refresher or you're just fascinated by the science of life, The Manga Guide to Molecular Biology will give you a uniquely fun and informative introduction. |
| a manga guide to calculus: The Manga Guide to Microprocessors Michio Shibuya, Takashi Tonagi, Office Sawa, 2017-08-29 Ayumi is a world-class shogi (Japanese chess) player who can’t be beaten—that is, until she loses to a powerful computer called the Shooting Star. Ayumi vows to find out everything she can about her new nemesis. Lucky for her, Yuu Kano, the genius programmer behind the Shooting Star, is willing to teach her all about the inner workings of the microprocessor—the “brain” inside all computers, phones, and gadgets. Follow along with Ayumi in The Manga Guide to Microprocessors and you’ll learn about: -How the CPU processes information and makes decision -How computers perform arithmetic operations and store information -logic gates and how they’re used in integrated circuits -the Key components of modern computers, including registers, GPUs, and RAM -Assembly language and how it differs from high-level programming languages Whether you’re a computer science student or just want to understand the power of microprocessors, you’ll find what you need to know in The Manga Guide to Microprocessors. |
| a manga guide to calculus: Cartoon Guide to Genetics Larry Gonick, 1991-08-14 Have you ever asked yourself: Are spliced genes the same as mended Levis? Watson and Crick? Aren't they a team of British detectives? Plant sex? Can they do that? Is Genetic Mutation the name of one of those heavy metal bands? Asparagine? Which of the four food groups is that in? Then you need The Cartoon Guide to Genetics to explain the important concepts of classical and modern genetics—it's not only educational, it's funny too! |
| a manga guide to calculus: Manga: The Complete Guide Jason Thompson, 2012-07-03 • Reviews of more than 900 manga series • Ratings from 0 to 4 stars • Guidelines for age-appropriateness • Number of series volumes • Background info on series and artists THE ONE-STOP RESOURCE FOR CHOOSING BETWEEN THE BEST AND THE REST! Whether you’re new to the world of manga-style graphic novels or a longtime reader on the lookout for the next hot series, here’s a comprehensive guide to the wide, wonderful world of Japanese comics! • Incisive, full-length reviews of stories and artwork • Titles rated from zero to four stars–skip the clunkers, but don’t miss the hidden gems • Guidelines for age-appropriateness–from strictly mature to kid-friendly • Profiles of the biggest names in manga, including CLAMP, Osamu Tezuka, Rumiko Takahashi, and many others • The facts on the many kinds of manga–know your shôjo from your shônen • An overview of the manga industry and its history • A detailed bibliography and a glossary of manga terms LOOK NO FURTHER, YOU’VE FOUND YOUR IDEAL MANGA COMPANION! |
| a manga guide to calculus: The Humongous Book of Calculus Problems W. Michael Kelley, 2013-11-07 Now students have nothing to fear! Math textbooks can be as baffling as the subject they're teaching. Not anymore. The best-selling author of The Complete Idiot's Guide® to Calculus has taken what appears to be a typical calculus workbook, chock full of solved calculus problems, and made legible notes in the margins, adding missing steps and simplifying solutions. Finally, everything is made perfectly clear. Students will be prepared to solve those obscure problems that were never discussed in class but always seem to find their way onto exams. --Includes 1,000 problems with comprehensive solutions --Annotated notes throughout the text clarify what's being asked in each problem and fill in missing steps --Kelley is a former award-winning calculus teacher |
| a manga guide to calculus: The Manga Guide to the Universe Kenji Ishikawa, Kiyoshi Kawabata, Yutaka Hiiragi, Verte Corp Verte, 2011-07-15 Join Kanna, Kanta, Yamane, and Gloria in The Manga Guide to the Universe as they explore our solar system, the Milky Way, and faraway galaxies in search of the universe’s greatest mysteries: dark matter, cosmic expansion, and the Big Bang itself. As you rocket across the night sky, you’ll become acquainted with modern astronomy and astrophysics, as well as the classical discoveries and theories on which they’re built. You’ll even learn why some scientists believe finding extraterrestrial life is inevitable! You’ll also learn about: –Discoveries made by Copernicus, Galileo, Kepler, Hubble, and other seminal astronomers –Theories of the universe’s origins, evolution, and geometry –The ways you can measure and observe heavenly bodies with different telescopes, and how astronomers calculate distances in space –Stellar classifications and how the temperature, size, and magnitude of a star are related –Cosmic background radiation, what the WMAP satellite discovered, and scientists’ predictions for the future of the universe So dust off your flight suit and take a fantastic voyage through the cosmos in The Manga Guide to the Universe. |
| a manga guide to calculus: The Cartoon Guide to Calculus Larry Gonick, 2012-03-27 A complete—and completely enjoyable—new illustrated guide to calculus Master cartoonist Larry Gonick has already given readers the history of the world in cartoon form. Now, Gonick, a Harvard-trained mathematician, offers a comprehensive and up-to-date illustrated course in first-year calculus that demystifies the world of functions, limits, derivatives, and integrals. Using clear and helpful graphics—and delightful humor to lighten what is frequently a tough subject—he teaches all of the essentials, with numerous examples and problem sets. For the curious and confused alike, The Cartoon Guide to Calculus is the perfect combination of entertainment and education—a valuable supplement for any student, teacher, parent, or professional. |
| a manga guide to calculus: The Cartoon Guide to Algebra Larry Gonick, 2015-01-15 In this latest edition to the successful Cartoon Guide series, master cartoonist and former Harvard instructor Larry Gonick offers a complete and up-to-date illustrated course to help students understand and learn this core mathematical course taught in American schools. Using engaging graphics and lively humor, Gonick covers all of the algebra essentials, including linear equations, polynomials, quadratic equations, and graphing techniques. He also offers a concise overview of algebra’s history and its many practical applications in modern life. Combining Gonick’s unique ability to make difficult topics fun, interesting, and easy-to-understand—while still relaying the essential information in a clear, organized and accurate format—The Cartoon Guide to Algebra is an essential supplement for students of all levels, in high school, college, and beyond. |
| a manga guide to calculus: Engineering Mathematics K. A. Stroud, 2001 A groundbreaking and comprehensive reference that's been a bestseller since 1970, this new edition provides a broad mathematical survey and covers a full range of topics from the very basic to the advanced. For the first time, a personal tutor CD-ROM is included. |
| a manga guide to calculus: Math for Deep Learning Ronald T. Kneusel, 2021-12-07 Math for Deep Learning provides the essential math you need to understand deep learning discussions, explore more complex implementations, and better use the deep learning toolkits. With Math for Deep Learning, you'll learn the essential mathematics used by and as a background for deep learning. You’ll work through Python examples to learn key deep learning related topics in probability, statistics, linear algebra, differential calculus, and matrix calculus as well as how to implement data flow in a neural network, backpropagation, and gradient descent. You’ll also use Python to work through the mathematics that underlies those algorithms and even build a fully-functional neural network. In addition you’ll find coverage of gradient descent including variations commonly used by the deep learning community: SGD, Adam, RMSprop, and Adagrad/Adadelta. |
| a manga guide to calculus: Discrete Mathematics Oscar Levin, 2016-08-16 This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the introduction to proof course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this. Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. While there are many fine discrete math textbooks available, this text has the following advantages: It is written to be used in an inquiry rich course. It is written to be used in a course for future math teachers. It is open source, with low cost print editions and free electronic editions. |
| a manga guide to calculus: The Joy of X Steven Henry Strogatz, 2012 A delightful tour of the greatest ideas of math, showing how math intersects with philosophy, science, art, business, current events, and everyday life, by an acclaimed science communicator and regular contributor to the New York Times. |
| a manga guide to calculus: The Humongous Book of SAT Math Problems W. Michael Kelley, 2013-12-19 Translating math for people who don't speak math! The Humongous Book of SAT Math Problems takes a typical SAT study guide of solved math problems and provides easy-to-follow margin notes that add missing steps and simplify the solutions, thereby better preparing students to solve all types of problems that appear in both levels of the SAT math exam. Award-winning teacher W. Michael Kelley offers 750 problems with step-by-step notes and comprehensive solutions. The Humongous Books are like no other math guide series! |
| a manga guide to calculus: The Manga Guide to Relativity Hideo Nitta, Masafumi Yamamoto, Keita Takatsu, Co Ltd Trend, 2011-04-15 Everything’s gone screwy at Tagai Academy. When the headmaster forces Minagi’s entire class to study Einstein’s theory of relativity over summer school, Minagi volunteers to go in their place. There’s just one problem: He’s never even heard of relativity before! Luckily, Minagi has the plucky Miss Uraga to teach him. Follow along with The Manga Guide to Relativity as Minagi learns about the non-intuitive laws that shape our universe. Before you know it, you’ll master difficult concepts like inertial frames of reference, unified spacetime, and the equivalence principle. You’ll see how relativity affects modern astronomy and discover why GPS systems and other everyday technologies depend on Einstein’s extraordinary discovery. The Manga Guide to Relativity also teaches you how to: –Understand and use E = mc2, the world’s most famous equation –Calculate the effects of time dilation using the Pythagorean theorem –Understand classic thought experiments like the Twin Paradox, and see why length contracts and mass increases at relativistic speeds –Grasp the underpinnings of Einstein’s special and general theories of relativity If the idea of bending space and time really warps your brain, let The Manga Guide to Relativity straighten things out. |
| a manga guide to calculus: The Humongous Book of Statistics Problems Robert Donnelly, W. Michael Kelley, 2009-12-01 Learn to solve statistics problems—and make them no problem! Most math and science study guides are dry and difficult, but this is the exception. Following the successful The Humongous Books in calculus and algebra, bestselling author Mike Kelley takes a typical statistics workbook, full of solved problems, and writes notes in the margins, adding missing steps and simplifying concepts and solutions. By learning how to interpret and solve problems as they are presented in statistics courses, students prepare to solve those difficult problems that were never discussed in class but are always on exams. There are also annotated notes throughout the book to clarify each problem—all guided by an author with a great track record for helping students and math enthusiasts. His website (calculus-help.com) reaches thousands of students every month. |
| a manga guide to calculus: Cartoon Guide to Statistics Larry Gonick, 1993-07-14 If you have ever looked for P-values by shopping at P mart, tried to watch the Bernoulli Trails on People's Court, or think that the standard deviation is a criminal offense in six states, then you need The Cartoon Guide to Statistics to put you on the road to statistical literacy. The Cartoon Guide to Statistics covers all the central ideas of modern statistics: the summary and display of data, probability in gambling and medicine, random variables, Bernoulli Trails, the Central Limit Theorem, hypothesis testing, confidence interval estimation, and much more—all explained in simple, clear, and yes, funny illustrations. Never again will you order the Poisson Distribution in a French restaurant! |
| a manga guide to calculus: The Yakuza's Guide to Babysitting Vol. 1 (manga) Tsukiya, 2021-02-12 WHO’S YOUR NANNY? Kirishima Tooru is the right-hand man of the Sakuragi crime family. For him, the job is a perfect excuse to let his violent instincts run wild, earning him the nickname “the Demon of Sakuragi”. It seems like nothing will stand in the way of his vicious nature. But then one day, he receives an assignment like never before from the boss—babysitting his daughter! This is the heartwarming (or is it bloodcurdling?) story of a little girl and her yakuza caretaker! |
| a manga guide to calculus: How to Think About Analysis Lara Alcock, 2014-09-25 Analysis (sometimes called Real Analysis or Advanced Calculus) is a core subject in most undergraduate mathematics degrees. It is elegant, clever and rewarding to learn, but it is hard. Even the best students find it challenging, and those who are unprepared often find it incomprehensible at first. This book aims to ensure that no student need be unprepared. It is not like other Analysis books. It is not a textbook containing standard content. Rather, it is designed to be read before arriving at university and/or before starting an Analysis course, or as a companion text once a course is begun. It provides a friendly and readable introduction to the subject by building on the student's existing understanding of six key topics: sequences, series, continuity, differentiability, integrability and the real numbers. It explains how mathematicians develop and use sophisticated formal versions of these ideas, and provides a detailed introduction to the central definitions, theorems and proofs, pointing out typical areas of difficulty and confusion and explaining how to overcome these. The book also provides study advice focused on the skills that students need if they are to build on this introduction and learn successfully in their own Analysis courses: it explains how to understand definitions, theorems and proofs by relating them to examples and diagrams, how to think productively about proofs, and how theories are taught in lectures and books on advanced mathematics. It also offers practical guidance on strategies for effective study planning. The advice throughout is research based and is presented in an engaging style that will be accessible to students who are new to advanced abstract mathematics. |
| a manga guide to calculus: How to Ace Calculus Colin Adams, Abigail Thompson, Joel Hass, 2015-10-06 Written by three gifted-and funny-teachers, How to Ace Calculus provides humorous and readable explanations of the key topics of calculus without the technical details and fine print that would be found in a more formal text. Capturing the tone of students exchanging ideas among themselves, this unique guide also explains how calculus is taught, how to get the best teachers, what to study, and what is likely to be on exams-all the tricks of the trade that will make learning the material of first-semester calculus a piece of cake. Funny, irreverent, and flexible, How to Ace Calculus shows why learning calculus can be not only a mind-expanding experience but also fantastic fun. |
| a manga guide to calculus: Infinite Powers Steven Strogatz, 2019 This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides. |
| a manga guide to calculus: The Humongous Book of Algebra Problems W. Michael Kelley, 2008-07 Presents algebra exercises with easy-to-follow guidelines, and includes over one thousand problems in numerous algebraic topics. |
| a manga guide to calculus: The Math Book Clifford A. Pickover, 2011-09-27 The Neumann Prize–winning, illustrated exploration of mathematics—from its timeless mysteries to its history of mind-boggling discoveries. Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, The Math Book covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic is lavishly illustrated with colorful art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems. |
| a manga guide to calculus: Calculus For Dummies Mark Ryan, 2016-05-18 Slay the calculus monster with this user-friendly guide Calculus For Dummies, 2nd Edition makes calculus manageable—even if you're one of the many students who sweat at the thought of it. By breaking down differentiation and integration into digestible concepts, this guide helps you build a stronger foundation with a solid understanding of the big ideas at work. This user-friendly math book leads you step-by-step through each concept, operation, and solution, explaining the how and why in plain English instead of math-speak. Through relevant instruction and practical examples, you'll soon learn that real-life calculus isn't nearly the monster it's made out to be. Calculus is a required course for many college majors, and for students without a strong math foundation, it can be a real barrier to graduation. Breaking that barrier down means recognizing calculus for what it is—simply a tool for studying the ways in which variables interact. It's the logical extension of the algebra, geometry, and trigonometry you've already taken, and Calculus For Dummies, 2nd Edition proves that if you can master those classes, you can tackle calculus and win. Includes foundations in algebra, trigonometry, and pre-calculus concepts Explores sequences, series, and graphing common functions Instructs you how to approximate area with integration Features things to remember, things to forget, and things you can't get away with Stop fearing calculus, and learn to embrace the challenge. With this comprehensive study guide, you'll gain the skills and confidence that make all the difference. Calculus For Dummies, 2nd Edition provides a roadmap for success, and the backup you need to get there. |
| a manga guide to calculus: Linear Algebra and Learning from Data Gilbert Strang, 2019-01-31 Linear algebra and the foundations of deep learning, together at last! From Professor Gilbert Strang, acclaimed author of Introduction to Linear Algebra, comes Linear Algebra and Learning from Data, the first textbook that teaches linear algebra together with deep learning and neural nets. This readable yet rigorous textbook contains a complete course in the linear algebra and related mathematics that students need to know to get to grips with learning from data. Included are: the four fundamental subspaces, singular value decompositions, special matrices, large matrix computation techniques, compressed sensing, probability and statistics, optimization, the architecture of neural nets, stochastic gradient descent and backpropagation. |
| a manga guide to calculus: The Cartoon Introduction to Calculus Yoram Bauman, Ph.D., 2019-07-16 The internationally bestselling authors of The Cartoon Introduction to Economics return to make calculus fun The award-winning illustrator Grady Klein has teamed up once again with the world’s only stand-up economist, Yoram Bauman, Ph.D., to take on the daunting subject of calculus. A supplement to traditional textbooks, The Cartoon Introduction to Calculus focuses on the big ideas rather than all the formulas you have to memorize. With Klein and Bauman as our guides, we scale the dual peaks of Mount Derivative and Mount Integral, and from their summits, we see how calculus relates to the rest of mathematics. Beginning with the problems of speed and area, Klein and Bauman show how the discipline is unified by a fundamental theorem. We meet geniuses like Archimedes, Liu Hui, and Bonaventura Cavalieri, who survived the slopes on intuition but prepared us for the avalanche-like dangers posed by mathematical rigor. Then we trek onward and scramble through limits and extreme values, optimization and integration, and learn how calculus can be applied to economics, physics, and so much more. We discover that calculus isn’t the pinnacle of mathematics after all, but its tools are foundational to everything that follows. Klein and Bauman round out the book with a handy glossary of symbols and terms, so you don’t have to worry about mixing up constants and constraints. With a witty and engaging narrative full of jokes and insights, The Cartoon Introduction to Calculus is an essential primer for students or for anyone who is curious about math. |
| a manga guide to calculus: Calculus Volume 3 Edwin Herman, Gilbert Strang, 2016-03-30 Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations. |
| a manga guide to calculus: The Cartoon Introduction to Statistics Grady Klein, Alan Dabney, 2013-07-02 The Cartoon Introduction to Statistics is the most imaginative and accessible introductory statistics course you'll ever take. Employing an irresistible cast of dragon-riding Vikings, lizard-throwing giants, and feuding aliens, the renowned illustrator Grady Klein and the award-winning statistician Alan Dabney teach you how to collect reliable data, make confident statements based on limited information, and judge the usefulness of polls and the other numbers that you're bombarded with every day. If you want to go beyond the basics, they've created the ultimate resource: The Math Cave, where they reveal the more advanced formulas and concepts. Timely, authoritative, and hilarious, The Cartoon Introduction to Statistics is an essential guide for anyone who wants to better navigate our data-driven world. |
| a manga guide to calculus: Statistics in a Nutshell Sarah Boslaugh, 2012-11-15 A clear and concise introduction and reference for anyone new to the subject of statistics. |
| a manga guide to calculus: The Everything Guide to Calculus 1 Greg Hill, 2011-07-18 Calculus is the basis of all advanced science and math. But it can be very intimidating, especially if you're learning it for the first time! If finding derivatives or understanding integrals has you stumped, this book can guide you through it. This indispensable resource offers hundreds of practice exercises and covers all the key concepts of calculus, including: Limits of a function Derivatives of a function Monomials and polynomials Calculating maxima and minima Logarithmic differentials Integrals Finding the volume of irregularly shaped objects By breaking down challenging concepts and presenting clear explanations, you'll solidify your knowledge base--and face calculus without fear! |
| a manga guide to calculus: The Rough Guide to Manga Jason S. Yadao, 2009-10-01 The Rough Guide to Manga is the ultimate handbook offering a comprehensive overview of one of the most fashionable genre's in today's popular culture. The guide features the manga story: from manga's twelfth-century roots to the rise of English-language manga with profiles of influential creators like Leiji Matsumoto and CLAMP as well as publishers to look out for. You'll find an overview of manga's unique styles, techniques and genres decoded as well as a canon of fifty must-read manga, including the iconic Astro Boy, global hits Fruits Basket and Battle Royale, plus less well-known works like Please Save My Earth. The Rough Guide to Manga demystifies unfamiliar terms and genres for newcomers whilst offering manga fans plenty of new recommendations including listings for manga magazines and websites along with a glossary of terms. Crammed with illustrations, and including a section on the anime connection, this is must-have Manga for beginners and enthusiasts alike. |
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