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| donut like mathematical surface: Mostly Surfaces Richard Evan Schwartz, 2011 The goal of the book is to present a tapestry of ideas from various areas of mathematics in a clear and rigorous yet informal and friendly way. Prerequisites include undergraduate courses in real analysis and in linear algebra, and some knowledge of complex analysis. --from publisher description. |
| donut like mathematical surface: Math Without Numbers Milo Beckman, 2021-01-07 'The whizz-kid making maths supercool. . . A brilliant book that takes everything we know (and fear) about maths out of the equation - starting with numbers' The Times 'A cheerful, chatty, and charming trip through the world of mathematics. . . Everyone should read this delightful book' Ian Stewart, author of Do Dice Play God? The only numbers in this book are the page numbers. The three main branches of abstract math - topology, analysis, and algebra - turn out to be surprisingly easy to grasp. Or at least, they are when our guide is a math prodigy. With forthright wit and warm charm, Milo Beckman upends the conventional approach to mathematics, inviting us to think creatively about shape and dimension, the infinite and the infinitesimal, symmetries, proofs, and all how all these concepts fit together. Why is there a million dollar prize for counting shapes? Is anything bigger than infinity? And how is the 'truth' of mathematics actually decided? A vivid and wholly original guide to the math that makes the world tick and the planets revolve, Math Without Numbers makes human and understandable the elevated and hypothetical, allowing us to clearly see abstract math for what it is: bizarre, beautiful, and head-scratchingly wonderful. |
| donut like mathematical surface: A Mathematical Gift, I Kenji Ueno, Kōji Shiga, Shigeyuki Morita, 2003 Three volumes originating from a series of lectures in mathematics given by professors of Kyoto University in Japan for high school students. |
| donut like mathematical surface: Mathematical Impressions A. T. Fomenko, 1991 Soviet mathematician Fomenko augments his technical books and papers with visual impressions of mathematical concepts, often reminiscent of Escher, and with allusions to Breughel and Durer. Over 80 reproductions, a few in color, are accompanied by the artist's explanation of the mathematical principles being suggested. Annotation copyrighted by Book News, Inc., Portland, OR |
| donut like mathematical surface: Mathematical Modelling of Biosystems Rubem P. Mondaini, Panos M. Pardalos, 2008-02-23 This volume is an interdisciplinary book which introduces, in a very readable way, state-of-the-art research in the fundamental topics of mathematical modelling of Biosystems. In short, the book offers an overview of mathematical and computational modelling of biosystems including biological phenomena in general. There is also a special introduction to Protein Physics which aims to explain the all-or-none first order phase transitions from native to denatured states. |
| donut like mathematical surface: The Mathematical Universe Joel L. Schiff, 2020-11-18 I first had a quick look, then I started reading it. I couldn't stop. -Gerard 't Hooft (Nobel Prize, in Physics 1999) This is a book about the mathematical nature of our Universe. Armed with no more than basic high school mathematics, Dr. Joel L. Schiff takes you on a foray through some of the most intriguing aspects of the world around us. Along the way, you will visit the bizarre world of subatomic particles, honey bees and ants, galaxies, black holes, infinity, and more. Included are such goodies as measuring the speed of light with your microwave oven, determining the size of the Earth with a stick in the ground and the age of the Solar System from meteorites, understanding how the Theory of Relativity makes your everyday GPS system possible, and so much more. These topics are easily accessible to anyone who has ever brushed up against the Pythagorean Theorem and the symbol π, with the lightest dusting of algebra. Through this book, science-curious readers will come to appreciate the patterns, seeming contradictions, and extraordinary mathematical beauty of our Universe. |
| donut like mathematical surface: When Einstein Walked with Gödel Jim Holt, 2018-05-15 A collection of essays on philosophy, mathematics, and science, and the people who pursue them-- |
| donut like mathematical surface: Visualization and Mathematics III Hans-Christian Hege, Konrad Polthier, 2013-11-11 A collection of state-of-the-art presentations on visualization problems in mathematics, fundamental mathematical research in computer graphics, and software frameworks for the application of visualization to real-world problems. Contributions have been written by leading experts and peer-refereed by an international editorial team. The book grew out of the third international workshop ‘Visualization and Mathematics’, May 22-25, 2002 in Berlin. The variety of topics covered makes the book ideal for researcher, lecturers, and practitioners. |
| donut like mathematical surface: The Unimaginable Mathematics of Borges' Library of Babel William Goldbloom Bloch, 2008-08-25 The Library of Babel is arguably Jorge Luis Borges' best known story--memorialized along with Borges on an Argentine postage stamp. Now, in The Unimaginable Mathematics of Borges' Library of Babel, William Goldbloom Bloch takes readers on a fascinating tour of the mathematical ideas hidden within one of the classic works of modern literature. Written in the vein of Douglas R. Hofstadter's Pulitzer Prize-winning Gödel, Escher, Bach, this original and imaginative book sheds light on one of Borges' most complex, richly layered works. Bloch begins each chapter with a mathematical idea--combinatorics, topology, geometry, information theory--followed by examples and illustrations that put flesh on the theoretical bones. In this way, he provides many fascinating insights into Borges' Library. He explains, for instance, a straightforward way to calculate how many books are in the Library--an easily notated but literally unimaginable number--and also shows that, if each book were the size of a grain of sand, the entire universe could only hold a fraction of the books in the Library. Indeed, if each book were the size of a proton, our universe would still not be big enough to hold anywhere near all the books. Given Borges' well-known affection for mathematics, this exploration of the story through the eyes of a humanistic mathematician makes a unique and important contribution to the body of Borgesian criticism. Bloch not only illuminates one of the great short stories of modern literature but also exposes the reader--including those more inclined to the literary world--to many intriguing and entrancing mathematical ideas. |
| donut like mathematical surface: Spaceland Rudy Rucker, 2003-07-04 Joe Cube is a Silicon Valley hotshot--well, a would-be hotshot anyway--hoping that the 3-D TV project he's managing will lead to the big money IPO he's always dreamed of. On New Year's Eve, hoping to impress his wife, he sneaks home the prototype. It brings no new warmth to their cooling relationship, but it does attract someone else's attention. When Joe sees a set of lips talking to him (floating in midair) and feels the poke of a disembodied finger (inside him), it's not because of the champagne he's drunk. He has just met Momo, a woman from the All, a world of four spatial dimensions for whom our narrow world, which she calls Spaceland, is something like a rug, but one filled with motion and life. Momo has a business proposition for Joe, an offer she won't let him refuse. The upside potential becomes much clearer to him once she helps him grow a new eye (on a stalk) that can see in the fourth-dimensional directions, and he agrees. After that it's a wild ride through a million-dollar night in Las Vegas, a budding addiction to tasty purple 4-D food, a failing marriage, eye-popping excursions into the All, and encounters with Momo's foes, rubbery red critters who steal money, offer sage advice and sometimes messily explode. Joe is having the time of his life, until Momo's scheme turns out to have angles he couldn't have imagined. Suddenly the fate of all life here in Spaceland is at stake. Rudy Rucker is a past master at turning mathematical concepts into rollicking science fiction adventure, from Spacetime Donuts and White Light to The Hacker and the Ants. In the tradition of Edwin A. Abbott's classic novel, Flatland, Rucker gives us a tour of higher mathematics and visionary realities. Spaceland is Flatland on hyperdrive! At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied. |
| donut like mathematical surface: Knots and Surfaces David W. Farmer, Theodore B. Stanford, 1996 In most mathematics textbooks, the most exciting part of mathematics - the process of invention and discovery - is completely hidden from the student. The aim of Knots and Surfaces is to change all that. Knots and Surfaces guides the reader through Euler's formula, one and two-sided surfaces, and knot theory using games and examples. By means of a series of carefully selected tasks, this book leads the reader on to discover some real mathematics. There are no formulas to memorize; no procedures to follow. This book is a guide to the mathematics - it starts you in the right direction and brings you back if you stray too far. Discovery is left to you. This book is aimed at undergraduates and those with little background knowledge of mathematics. |
| donut like mathematical surface: Poetic Logic and the Origins of the Mathematical Imagination Marcel Danesi, 2023-09-02 This book treats eighteenth-century Italian philosopher Giambattista Vico’s theory of poetic logic for the first time as the originating force in mathematics, transforming instinctive counting and spatial perception into poetic (metaphorical) symbolism that dovetails with the origin of language. It looks at current work on mathematical cognition (from Lakoff and Núñez to Butterworth, Dehaene, and beyond), matching it against the poetic logic paradigm. In a sense, it continues from where Kasner and Newman left off, connecting contemporary research on the mathematical mind to the idea that the products of early mathematics were virtually identical to the first forms of poetic language. As such, this book informs the current research on mathematical cognition from a different angle, by looking back at a still relatively unknown philosopher within mathematics. The aim of this volume is to look broadly at what constitutes the mathematical mind through the Vichian lens of poetic logic. Vico was among the first to suggest that the essential nature of mind could be unraveled indirectly by reconstructing the sources of its “modifications” (his term for “creations”); that is, by examining the creation and function of symbols, words, and all the other uniquely human artifacts—including mathematics—the mind has allowed humans to establish “the world of civil society,” Vico’s term for culture and civilization. The book is of interest to cognitive scientists working on math cognition. It presents the theory of poetic logic as Vico articulated it in his book The New Science, examining its main premises and then applying it to an interpretation of the ongoing work in math cognition. It will also be of interest to the general public, since it presents a history of early mathematics through the lens of an idea that has borne fruit in understanding the origin of language and symbols more broadly. |
| donut like mathematical surface: What's Happening in the Mathematical Sciences Barry Cipra, Mathematicians like to point out that mathematics is universal. In spite of this, most people continue to view it as either mundane (balancing a checkbook) or mysterious (cryptography). This fifth volume of the What's Happening series contradicts that view by showing that mathematics is indeed found everywhere-in science, art, history, and our everyday lives. Here is some of what you'll find in this volume: Mathematics and Science Mathematical biology: Mathematics was key tocracking the genetic code. Now, new mathematics is needed to understand the three-dimensional structure of the proteins produced from that code. Celestial mechanics and cosmology: New methods have revealed a multitude of solutions to the three-body problem. And other new work may answer one of cosmology'smost fundamental questions: What is the size and shape of the universe? Mathematics and Everyday Life Traffic jams: New models are helping researchers understand where traffic jams come from-and maybe what to do about them! Small worlds: Researchers have found a short distance from theory to applications in the study of small world networks. Elegance in Mathematics Beyond Fermat's Last Theorem: Number theorists are reaching higher ground after Wiles' astounding 1994 proof: new developments inthe elegant world of elliptic curves and modular functions. The Millennium Prize Problems: The Clay Mathematics Institute has offered a million dollars for solutions to seven important and difficult unsolved problems. These are just some of the topics of current interest that are covered in thislatest volume of What's Happening in the Mathematical Sciences. The book has broad appeal for a wide spectrum of mathematicians and scientists, from high school students through advanced-level graduates and researchers. |
| donut like mathematical surface: Illustrating Mathematics Diana Davis, 2020-10-16 This book is for anyone who wishes to illustrate their mathematical ideas, which in our experience means everyone. It is organized by material, rather than by subject area, and purposefully emphasizes the process of creating things, including discussions of failures that occurred along the way. As a result, the reader can learn from the experiences of those who came before, and will be inspired to create their own illustrations. Topics illustrated within include prime numbers, fractals, the Klein bottle, Borromean rings, tilings, space-filling curves, knot theory, billiards, complex dynamics, algebraic surfaces, groups and prime ideals, the Riemann zeta function, quadratic fields, hyperbolic space, and hyperbolic 3-manifolds. Everyone who opens this book should find a type of mathematics with which they identify. Each contributor explains the mathematics behind their illustration at an accessible level, so that all readers can appreciate the beauty of both the object itself and the mathematics behind it. |
| donut like mathematical surface: Algebraic Curves and Riemann Surfaces for Undergraduates Anil Nerode, Noam Greenberg, 2023-01-16 The theory relating algebraic curves and Riemann surfaces exhibits the unity of mathematics: topology, complex analysis, algebra and geometry all interact in a deep way. This textbook offers an elementary introduction to this beautiful theory for an undergraduate audience. At the heart of the subject is the theory of elliptic functions and elliptic curves. A complex torus (or “donut”) is both an abelian group and a Riemann surface. It is obtained by identifying points on the complex plane. At the same time, it can be viewed as a complex algebraic curve, with addition of points given by a geometric “chord-and-tangent” method. This book carefully develops all of the tools necessary to make sense of this isomorphism. The exposition is kept as elementary as possible and frequently draws on familiar notions in calculus and algebra to motivate new concepts. Based on a capstone course given to senior undergraduates, this book is intended as a textbook for courses at this level and includes a large number of class-tested exercises. The prerequisites for using the book are familiarity with abstract algebra, calculus and analysis, as covered in standard undergraduate courses. |
| donut like mathematical surface: Experiments in Topology Stephen Barr, 2012-12-04 Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit. |
| donut like mathematical surface: Geometry and Its Applications Walter A. Meyer, 2006-02-21 Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers. - Realistic applications integrated throughout the text, including (but not limited to): - Symmetries of artistic patterns - Physics - Robotics - Computer vision - Computer graphics - Stability of architectural structures - Molecular biology - Medicine - Pattern recognition - Historical notes included in many chapters |
| donut like mathematical surface: Math Geek Raphael Rosen, 2015-03-05 The new sine of mathematical geekdom! Do you dream about long division in your sleep? Does the thought of solving abstruse equations bring a smile to your face? Do you love celebrating pi every March? Then, Math Geek was made for you! With this guide, you'll learn even more about the power of numbers as you explore their brilliant nature in ways you've never imagined. From manhole covers to bubbles to subway maps, each page gives you a glimpse of the world through renowned mathematicians' eyes and reveals how their theorems and equations can be applied to nearly everything you encounter. Covering dozens of your favorite math topics, you'll find fascinating answers to questions like: How are the waiting times for buses determined? Why is Romanesco Broccoli so mesmerizing? How do you divide a cake evenly? Should you run or walk to avoid rain showers? Filled with compelling mathematical explanations, Math Geek sheds light on the incredible world of numbers hidden deep within your day-to-day life. |
| donut like mathematical surface: New Expressions in Origami Art Meher McArthur, 2017-03-07 This origami art book features the work of 25 contemporary master folders who are among the most innovative origami artists working today. They are pushing the boundaries of origami vigorously in new directions in terms of style, scale, materials, subject and scope. This elite group includes: Joel Cooper Erik Demaine and Martin Demaine Paul Jackson Beth Johnson Michael G. LaFosse and Richard L. Alexander Robert J. Lang Linda Mihara Bernie Peyton Richard Sweeney And many more… The stunning photos and brilliant essays in this book demonstrate why origami is now an international art movement--largely through the efforts and artistic genius of a few contemporary masters. The trailblazing efforts of Japanese artist Akira Yoshizawa elevated the paper folding to an art form by showing how subtle shapes and figures could be created from a single sheet of paper though a variety of non-traditional folding techniques. Artists in other parts of the world--including the United States, France, England, China and Scandinavia--took Yoshizawa's cue and pushed these techniques further and further. The result has been the emergence of many new and surprising sculptural forms created through techniques such as wet folding, curved creasing, tessellating and the application of alternative materials besides paper. |
| donut like mathematical surface: The Pea and the Sun Leonard M. Wapner, 2005-04-29 Take an apple and cut it into five pieces. Would you believe that these five pieces can be reassembled in such a fashion so as to create two apples equal in shape and size to the original? Would you believe that you could make something as large as the sun by breaking a pea into a finite number of pieces and putting it back together again? Neither did Leonard Wapner, author of The Pea and the Sun, when he was first introduced to the Banach-Tarski paradox, which asserts exactly such a notion. Written in an engaging style, The Pea and the Sun catalogues the people, events, and mathematics that contributed to the discovery of Banach and Tarski's magical paradox. Wapner makes one of the most interesting problems of advanced mathematics accessible to the non-mathematician. |
| donut like mathematical surface: Love and Math Edward Frenkel, 2013-10-01 An awesome, globe-spanning, and New York Times bestselling journey through the beauty and power of mathematics What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren't even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we've never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man's journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century's leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat's last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics. |
| donut like mathematical surface: The Ecological Brain Luis H. H. Favela, 2023-12-22 The Ecological Brain is the first book of its kind, using complexity science to integrate the seemingly disparate fields of ecological psychology and neuroscience. The book develops a unique framework for unifying investigations and explanations of mind that span brain, body, and environment: the NeuroEcological Nexus Theory (NExT). Beginning with an introduction to the history of the fields, the author provides an assessment of why ecological psychology and neuroscience are commonly viewed as irreconcilable methods for investigating and explaining cognition, intelligent behavior, and the systems that realize them. The book then progresses to its central aim: presenting a unified investigative and explanatory framework offering concepts, methods, and theories applicable across neural and ecological scales of investigation. By combining the core principles of ecological psychology, neural population dynamics, and synergetics under a unified complexity science approach, NExT offers a compressive investigative framework to explain and understand neural, bodily, and environmental contributions to perception-action and other forms of intelligent behavior and thought. The book progresses the conversation around the role of brains in ecological psychology, as well as bodies and environments in neuroscience. It is essential reading for all students of ecological psychology, perception, cognitive sciences, and neuroscience, as well as anyone interested in the history and philosophy of the brain/mind sciences and their state-of-the-art methods and theories. |
| donut like mathematical surface: New Mathematics of Architecture Jane Burry, Mark Burry, 2012-03-27 This carefully researched survey examines how architects now use digital tools and physics to build spatial constructs that would have been inconceivable even ten years ago. Architecture has always relied on mathematics to achieve visual harmony, structural integrity, and logical construction. Now digital tools and an increasing interest in physics have given architects the means to describe and build spatial constructs that would have been inconceivable even ten years ago. This carefully researched survey of forty-six international projects offers an overview of how different strategies are being employed through accessible illustrations and clear text. Each section presents case studies of projects by globally recognized architects in diagrams, photographs, and texts. |
| donut like mathematical surface: The Universal Book of Mathematics David Darling, 2008-04-21 Praise for David Darling The Universal Book of Astronomy A first-rate resource for readers and students of popular astronomy and general science. . . . Highly recommended. -Library Journal A comprehensive survey and . . . a rare treat. -Focus The Complete Book of Spaceflight Darling's content and presentation will have any reader moving from entry to entry. -The Observatory magazine Life Everywhere This remarkable book exemplifies the best of today's popular science writing: it is lucid, informative, and thoroughly enjoyable. -Science Books & Films An enthralling introduction to the new science of astrobiology. -Lynn Margulis Equations of Eternity One of the clearest and most eloquent expositions of the quantum conundrum and its philosophical and metaphysical implications that I have read recently. -The New York Times Deep Time A wonderful book. The perfect overview of the universe. -Larry Niven |
| donut like mathematical surface: The Donut Book Sally Levitt Steinberg, 2004-01-01 The Atkins Diet? Phooey! The South Beach Diet? Feh! What Americans really want to eat is something deep-fried and sugar-packed . . . hence our undying love affair with the beloved donut. And if anybody knows donuts, it's Sally Levitt Steinberg, America's Donut Princess. As a member of America's royal donut dynasty (her grandfather, Adolph Levitt, invented the donut-making machine), she knows more about this sweet indulgence than anyone else. The Donut Book is the product of Sally's personal charm and life-long, in-depth donut scholarship. She covers high points in donut history: the arrival of the first donuts in America with the Dutch settlers in the 17th century, and the donut in World War I, when it became the favorite nosh of the boys in the trenches. She celebrates donut-loving celebrities, from Admiral Byrd to Bill Clinton, as well as some of the most gifted donut bakers on the planet. She visits the campus of Dunkin' Donuts University and reveals the secret that makes Krispy Kreme donuts irresistible. And she identifies the most popular donut in America (glazed) and the runner-up (chocolate). Then there are the recipes: 29 mouth-watering, soul-satisfying ways to achieve the ultimate sugar rush, from New Orleans beignets to Portuguese malasadas, from Boston crèmes to Alain Ducasse's upscale Donut. And for donut lovers who are willing to hit the road to find their favorite confection, the book comes with an illustrated Donut Lover's Guide to bakeries that serve up the lightest, fluffiest, best dressed, and tastiest donuts. |
| donut like mathematical surface: The Cosmic Landscape Leonard Susskind, 2008-12-14 In his first book ever, the father of string theory reinvents the world's concept of the known universe and man's unique place within it. Line drawings. |
| donut like mathematical surface: Our Mathematical Universe Max Tegmark, 2014-01-07 Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist. Fascinating from first to last—this is a book that has already prompted the attention and admiration of some of the most prominent scientists and mathematicians. |
| donut like mathematical surface: Quantum Theory of Materials Efthimios Kaxiras, John D. Joannopoulos, 2019-06-06 An accessible overview of the concepts and tools essential to the physics of materials, with applications, exercises, and color figures. |
| donut like mathematical surface: What's Happening in the Mathematical Sciences, Volume 3 Barry Cipra, American Mathematical Society, 1993 Beautifully produced and marvelously written this volume contains 10 articles on recent developments in the field. In an engaging, reader-friendly style, Cipra explores topics ranging from Fermat's Last Theorem to Computational Fluid Dynamics. The volumes in this series are intended to highlight the many roles mathematics plays in the modern world. Volume 3 includes articles on: a new mathematical methods that's taking Wall Street by storm, Ultra-parallel supercomputing with DNA, and how a mathematician found the famous flaw in the Pentium chip. Unique in kind, lively in style, Volume 3 of What's Happening in the Mathematical Sciences is a delight to read and a valuable source of information. |
| donut like mathematical surface: 3D Computer Graphics Samuel R. Buss, 2003-05-19 Table of contents |
| donut like mathematical surface: The Digtest Record of the 1969 Joint Conference on Mathematical and Computer Aids to Design, October 27-31, 1969 , 1969 |
| donut like mathematical surface: Intuitive Topology Viktor Vasilʹevich Prasolov, 1995 This book is an introduction to elementary topology presented in an intuitive way, emphasizing the visual aspect. Examples of nontrivial and often unexpected topological phenomena acquaint the reader with the picturesque world of knots, links, vector fields, and two-dimensional surfaces. The book begins with definitions presented in a tangible and perceptible way, on an everyday level, and progressively makes them more precise and rigorous, eventually reaching the level of fairly sophisticated proofs. This allows meaningful problems to be tackled from the outset. Another unusual trait of this book is that it deals mainly with constructions and maps, rather than with proofs that certain maps and constructions do or do not exist. The numerous illustrations are an essential feature. The book is accessible not only to undergraduates but also to high school students and will interest any reader who has some feeling for the visual elegance of geometry and topology. |
| donut like mathematical surface: The Words of Mathematics Steven Schwartzman, 1994 This book explains the origins of over 1500 mathematical terms used in English. |
| donut like mathematical surface: Essays on the Foundations of Mathematics and Logic Giandomenico Sica, 2005 |
| donut like mathematical surface: The Shape of Inner Space Shing-Tung Yau, Steven J. Nadis, 2010-09-07 The leading mind behind the mathematics of string theory discusses how geometry explains the universe we see. Illustrations. |
| donut like mathematical surface: Stochastic Models, Information Theory, and Lie Groups, Volume 1 Gregory S. Chirikjian, 2009-09-02 This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises and motivating examples make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry. |
| donut like mathematical surface: Discrete Mathematical Structures Mario Benedicty, Frank R. Sledge, 1987 |
| donut like mathematical surface: Connections Jay Kappraff, 2001 The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in ?Mathematics, Chemistry, and Astronomy ? Professional and Reference? in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. In the second edition there are five new sections, supplementary, as well as a new preface describing the advances in design science since the publication of the first edition. |
| donut like mathematical surface: The Principles of Causal Conspiracy (book 1) Michael M. Anthony, 2013-04 Is there a supreme principle that governs and unifies all things? Have you heard of the new scientific theory that has unified science and creationism? The Principles of Causal Conspiracy exposes new frontiers in science, mathematics, logic and the mind. It reveals the inner workings of the universe in a simple mathematical and scientific theory that explains the existence of space and time, fundamental particles, black holes, the Big Bang, the forces of nature, miracles, spirituality, divinity and creationism. Is it possible that we have found the ultimate unification of science, mathematics and religion? The Principles of Causal Conspiracy reveals a deep and beautiful link between mathematics, string theory, the Riemann Hypothesis, quantum physics, logic, the human mind and creationism. Michael Mark Anthony has written two books (book one and two) that give readers a whole new perspective on the controversial link between science and religion. In book one, Michael Mark Anthony reveals a new theoretical framework for unification of science, mathematics, the mind, and deism. The new theory touches all known subjects, including religion, quantum theory and cosmology. Book two reveals a deep link between Cosmology, Black holes, the Big Bang, Quantum theory, String theory, and Mathematics. |
| donut like mathematical surface: Excel 2010: The Missing Manual Matthew MacDonald, 2010-06-18 Excel, the world's most popular spreadsheet program, has the muscle to analyze heaps of data. Beyond basic number-crunching, Excel 2010 has many impressive features that are hard to find, much less master -- especially from online help pages. This Missing Manual clearly explains how everything works with a unique and witty style to help you learn quickly. Navigate with ease. Master Excel's tabbed toolbar and its new backstage view Perform a variety of calculations. Write formulas for rounding numbers, calculating mortgage payments, and more Organize your data. Search, sort, and filter huge amounts of information Illustrate trends. Bring your data to life with charts and graphics -- including miniature charts called Sparklines Examine your data. Summarize information and find hidden patterns with pivot tables and slicers Share your spreadsheets. Use the Excel Web App to collaborate with colleagues online Rescue lost data. Restore old versions of data and find spreadsheets you forgot to save |
如何评价微信推出的 Donut 多端开发框架? - 知乎
2、想使用donut先要在微信开放平台注册app，但目前微信开放平台只能认证企业资质，无法认证个人资质，而donut平台绑定app（需要设置iOS的bundle id或android的package）需要绑定相同资质 …
如何评价微信推出的 Donut 多端开发框架? - 知乎
如何评价微信推出的 Donut 多端开发框架 Donut 多端框架是支持使用小程序原生语法开发移动应用的框架，开发者可以一次编码，分别编译为小程序和 …
百吉和多纳圈的区别是什么？（bagel和donut的 ... - 知乎
Feb 6, 2016 · A "Bagel" is a doughy, circular bread, typically boiled before baking, creating a distinctive, chewy texture, often enjoyed with toppings such as cream cheese or lox. In …
如何评价微信最近发布的Dount平台？ - 知乎
Donut 是一个小程序原生语法开发移动应用框架，更通俗的讲就是将微信小程序的能力开放给其他的企业，第三方的 App 也能像微信一样去运行小程序了。 此外也可以将小程序构建成可独立运行的移动应用，也就是小程序转 …
如何评价微信推出的 Donut 多端开发框架? - 知乎
2、想使用donut先要在微信开放平台注册app，但目前微信开放平台只能认证企业资质，无法认证个人资质，而donut平台绑定app（需要设置iOS的bundle id或android的package）需要绑定相 …
如何评价微信推出的 Donut 多端开发框架? - 知乎
如何评价微信推出的 Donut 多端开发框架 Donut 多端框架是支持使用小程序原生语法开发移动应用的框架，开发者可以一次编码，分别编译为小程序和 …
百吉和多纳圈的区别是什么？（bagel和donut的 ... - 知乎
Feb 6, 2016 · A "Bagel" is a doughy, circular bread, typically boiled before baking, creating a distinctive, chewy texture, often enjoyed with toppings such as cream cheese or lox. In …
如何评价微信最近发布的Dount平台？ - 知乎
Donut 是一个小程序原生语法开发移动应用框架，更通俗的讲就是将微信小程序的能力开放给其他的企业，第三方的 App 也能像微信一样去运行小程序了。 此外也可以将小程序构建成可独立 …
