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| first steps for math olympians: First Steps for Math Olympians J. Douglas Faires, 2006-12-21 A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone preparing for the Mathematical Olympiads will find many useful ideas here, but people generally interested in logical problem solving should also find the problems and their solutions stimulating. The book can be used either for self-study or as topic-oriented material and samples of problems for practice exams. Useful reading for anyone who enjoys solving mathematical problems, and equally valuable for educators or parents who have children with mathematical interest and ability. |
| first steps for math olympians: First Steps for Math Olympians: Using the American Mathematics Competitions J. Douglas Faires, 2020-10-26 Any high school student preparing for the American Mathematics Competitions should get their hands on a copy of this book! A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions (AMC) have been given for more than fifty years to millions of high school students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone taking the AMC exams or helping students prepare for them will find many useful ideas here. But people generally interested in logical problem solving should also find the problems and their solutions interesting. This book will promote interest in mathematics by providing students with the tools to attack problems that occur on mathematical problem-solving exams, and specifically to level the playing field for those who do not have access to the enrichment programs that are common at the top academic high schools. The book can be used either for self-study or to give people who want to help students prepare for mathematics exams easy access to topic-oriented material and samples of problems based on that material. This is useful for teachers who want to hold special sessions for students, but it is equally valuable for parents who have children with mathematical interest and ability. As students' problem solving abilities improve, they will be able to comprehend more difficult concepts requiring greater mathematical ingenuity. They will be taking their first steps towards becoming math Olympians! |
| first steps for math olympians: A First Step To Mathematical Olympiad Problems Derek Allan Holton, 2009-07-30 See also A SECOND STEP TO MATHEMATICAL OLYMPIAD PROBLEMS The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. It is also the oldest of the international science olympiads, and competition for places is particularly fierce. This book is an amalgamation of the first 8 of 15 booklets originally produced to guide students intending to contend for placement on their country's IMO team. The material contained in this book provides an introduction to the main mathematical topics covered in the IMO, which are: Combinatorics, Geometry and Number Theory. In addition, there is a special emphasis on how to approach unseen questions in Mathematics, and model the writing of proofs. Full answers are given to all questions. Though A First Step to Mathematical Olympiad Problems is written from the perspective of a mathematician, it is written in a way that makes it easily comprehensible to adolescents. This book is also a must-read for coaches and instructors of mathematical competitions. |
| first steps for math olympians: A Primer for Mathematics Competitions Alexander Zawaira, Gavin Hitchcock, 2008-10-31 The importance of mathematics competitions has been widely recognised for three reasons: they help to develop imaginative capacity and thinking skills whose value far transcends mathematics; they constitute the most effective way of discovering and nurturing mathematical talent; and they provide a means to combat the prevalent false image of mathematics held by high school students, as either a fearsomely difficult or a dull and uncreative subject. This book provides a comprehensive training resource for competitions from local and provincial to national Olympiad level, containing hundreds of diagrams, and graced by many light-hearted cartoons. It features a large collection of what mathematicians call beautiful problems - non-routine, provocative, fascinating, and challenging problems, often with elegant solutions. It features careful, systematic exposition of a selection of the most important topics encountered in mathematics competitions, assuming little prior knowledge. Geometry, trigonometry, mathematical induction, inequalities, Diophantine equations, number theory, sequences and series, the binomial theorem, and combinatorics - are all developed in a gentle but lively manner, liberally illustrated with examples, and consistently motivated by attractive appetiser problems, whose solution appears after the relevant theory has been expounded. Each chapter is presented as a toolchest of instruments designed for cracking the problems collected at the end of the chapter. Other topics, such as algebra, co-ordinate geometry, functional equations and probability, are introduced and elucidated in the posing and solving of the large collection of miscellaneous problems in the final toolchest. An unusual feature of this book is the attention paid throughout to the history of mathematics - the origins of the ideas, the terminology and some of the problems, and the celebration of mathematics as a multicultural, cooperative human achievement. As a bonus the aspiring mathlete may encounter, in the most enjoyable way possible, many of the topics that form the core of the standard school curriculum. |
| first steps for math olympians: How to Think Like a Mathematician Kevin Houston, 2009-02-12 Looking for a head start in your undergraduate degree in mathematics? Maybe you've already started your degree and feel bewildered by the subject you previously loved? Don't panic! This friendly companion will ease your transition to real mathematical thinking. Working through the book you will develop an arsenal of techniques to help you unlock the meaning of definitions, theorems and proofs, solve problems, and write mathematics effectively. All the major methods of proof - direct method, cases, induction, contradiction and contrapositive - are featured. Concrete examples are used throughout, and you'll get plenty of practice on topics common to many courses such as divisors, Euclidean algorithms, modular arithmetic, equivalence relations, and injectivity and surjectivity of functions. The material has been tested by real students over many years so all the essentials are covered. With over 300 exercises to help you test your progress, you'll soon learn how to think like a mathematician. |
| first steps for math olympians: Competition Math for Middle School Jason Batteron, 2011-01-01 |
| first steps for math olympians: Percy Jackson and the Olympians, Book One: The Lightning Thief Rick Riordan, 2009-05-02 The #1 New York Times Bestseller | Now a series on Disney+ 12-year-old Percy Jackson discovers he is the son of Poseidon in the opener to the hilarious, fast-paced adventure fantasy series for young readers ages 10 and up The eBook edition of the first book in Rick Riordan’s thrilling series, filled with magic, mythology, and plenty of monsters Percy Jackson is about to be kicked out of boarding school again—he can't seem to stay out of trouble. Is he supposed to stand by while a bully picks on his scrawny best friend? Or not defend himself when his teacher turns into a monster and tries to kill him? Mythical creatures seem to be walking straight out of the pages of Percy's Greek mythology textbook and into his life. What’s worse, he's angered a few of them: Zeus's master lightning bolt has been stolen, and Percy is the prime suspect. Percy and his friends Grover the satyr, and Annabeth, the demigod daughter of Athena, must find and return Zeus's stolen property and bring peace to a warring Mount Olympus. They travel cross country to the gates of the Underworld in Los Angeles, facing a host of enemies determined to stop them. Withmillions of copies and over 10 years spent on the New York Times bestseller list, Percy has also become a movie, a Broadway musical, and now a Disney+ series. He continues to find fans in classrooms and libraries across the world. |
| first steps for math olympians: Mathematical Olympiad Treasures Titu Andreescu, Bogdan Enescu, 2011-09-21 Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry, trigonometry, number theory and combinatorics. While it may be considered a sequel to Mathematical Olympiad Challenges, the focus is on engaging a wider audience to apply techniques and strategies to real-world problems. Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines. |
| first steps for math olympians: Mathematics via Problems Arkadiy Skopenkov, 2021-02-11 This book is a translation from Russian of Part I of the book Mathematics Through Problems: From Olympiads and Math Circles to Profession. The other two parts, Geometry and Combinatorics, will be published soon. The main goal of this book is to develop important parts of mathematics through problems. The author tries to put together sequences of problems that allow high school students (and some undergraduates) with strong interest in mathematics to discover and recreate much of elementary mathematics and start edging into the sophisticated world of topics such as group theory, Galois theory, and so on, thus building a bridge (by showing that there is no gap) between standard high school exercises and more intricate and abstract concepts in mathematics. Definitions and/or references for material that is not standard in the school curriculum are included. However, many topics in the book are difficult when you start learning them from scratch. To help with this, problems are carefully arranged to provide gradual introduction into each subject. Problems are often accompanied by hints and/or complete solutions The book is based on classes taught by the author at different times at the Independent University of Moscow, at a number of Moscow schools and math circles, and at various summer schools. It can be used by high school students and undergraduates, their teachers, and organizers of summer camps and math circles. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. |
| first steps for math olympians: Lecture Notes on Mathematical Olympiad Courses Jiagu Xu, 2010 Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and exceeds the usual syllabus, but introduces a variety concepts and methods in modern mathematics. In each lecture, the concepts, theories and methods are taken as the core. The examples are served to explain and enrich their intension and to indicate their applications. Besides, appropriate number of test questions is available for reader''s practice and testing purpose. Their detailed solutions are also conveniently provided. The examples are not very complicated so that readers can easily understand. There are many real competition questions included which students can use to verify their abilities. These test questions are from many countries, e.g. China, Russia, USA, Singapore, etc. In particular, the reader can find many questions from China, if he is interested in understanding mathematical Olympiad in China. This book serves as a useful textbook of mathematical Olympiad courses, or as a reference book for related teachers and researchers. Errata(s). Errata. Sample Chapter(s). Lecture 1: Operations on Rational Numbers (145k). Request Inspection Copy. Contents: .: Operations on Rational Numbers; Linear Equations of Single Variable; Multiplication Formulae; Absolute Value and Its Applications; Congruence of Triangles; Similarity of Triangles; Divisions of Polynomials; Solutions to Testing Questions; and other chapters. Readership: Mathematics students, school teachers, college lecturers, university professors; mathematics enthusiasts |
| first steps for math olympians: A Second Step to Mathematical Olympiad Problems Derek Allan Holton, 2011 The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. It is also the oldest of the international science olympiads, and competition for places is particularly fierce. This book is an amalgamation of the booklets originally produced to guide students intending to contend for placement on their country's IMO team. See also A First Step to Mathematical Olympiad Problems which was published in 2009. The material contained in this book provides an introduction to the main mathematical topics covered in the IMO, which are: Combinatorics, Geometry and Number Theory. In addition, there is a special emphasis on how to approach unseen questions in Mathematics, and model the writing of proofs. Full answers are given to all questions. Though A Second Step to Mathematical Olympiad Problems is written from the perspective of a mathematician, it is written in a way that makes it easily comprehensible to adolescents. This book is also a must-read for coaches and instructors of mathematical competitions. |
| first steps for math olympians: First Steps in Mathematics Sue Willis, Wendy Devlin, Lorraine Jacob, 2005-01-01 Provides teachers with a range of practical tools to improve the mathematical learning for all students |
| first steps for math olympians: Percy Jackson and the Olympians, Book Five: The Last Olympian Rick Riordan, 2009-05-02 All year the half-bloods have been preparing for battle against the Titans, knowing the odds of victory are grim. Kronos's army is stronger than ever, and with every god and half-blood he recruits, the evil Titan's power only grows. While the Olympians struggle to contain the rampaging monster Typhon, Kronos begins his advance on New York City, where Mount Olympus stands virtually unguarded. Now it's up to Percy Jackson and an army of young demigods to stop the Lord of Time. |
| first steps for math olympians: The Stanford Mathematics Problem Book George Polya, Jeremy Kilpatrick, 2013-04-09 Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition. |
| first steps for math olympians: The Percy Jackson and the Olympians, Book Three: Titan's Curse Rick Riordan, 2007-05 In this third book of the acclaimed series, Percy and his friends are escorting two new half-bloods safely to camp when they are intercepted by a manticore and learn that the goddess Artemis has been kidnapped. |
| first steps for math olympians: The Sky Throne Chris Ledbetter, 2017-04-18 When the family of young Zeus is attacked by Hyperion, Zeus's mother is knocked unconscious and his best friend is left for dead. Stacking epic insult upon fatal injury, Zeus discovers the woman who raised him is not his biological mother. But to ensure her safety while she recovers, a heavyhearted Zeus leaves her behind to seek answers at Mount Olympus Preparatory Academia. Zeus embarks on a quest to discover who ordered the attack on his home, avenge the death of his friend, and find his birth mother. When some of his new schoolmates vanish, Zeus's quest is turned upside down, and the only way to make things right is to access the power of the Sky Throne, confront a most dangerous enemy, and take his life back. On his way to becoming king of the Greek gods, Zeus will learn to seize power, neutralize his enemies, and fall in love. |
| first steps for math olympians: Prime Obsession John Derbyshire, 2003-04-15 In August 1859 Bernhard Riemann, a little-known 32-year old mathematician, presented a paper to the Berlin Academy titled: On the Number of Prime Numbers Less Than a Given Quantity. In the middle of that paper, Riemann made an incidental remark †a guess, a hypothesis. What he tossed out to the assembled mathematicians that day has proven to be almost cruelly compelling to countless scholars in the ensuing years. Today, after 150 years of careful research and exhaustive study, the question remains. Is the hypothesis true or false? Riemann's basic inquiry, the primary topic of his paper, concerned a straightforward but nevertheless important matter of arithmetic †defining a precise formula to track and identify the occurrence of prime numbers. But it is that incidental remark †the Riemann Hypothesis †that is the truly astonishing legacy of his 1859 paper. Because Riemann was able to see beyond the pattern of the primes to discern traces of something mysterious and mathematically elegant shrouded in the shadows †subtle variations in the distribution of those prime numbers. Brilliant for its clarity, astounding for its potential consequences, the Hypothesis took on enormous importance in mathematics. Indeed, the successful solution to this puzzle would herald a revolution in prime number theory. Proving or disproving it became the greatest challenge of the age. It has become clear that the Riemann Hypothesis, whose resolution seems to hang tantalizingly just beyond our grasp, holds the key to a variety of scientific and mathematical investigations. The making and breaking of modern codes, which depend on the properties of the prime numbers, have roots in the Hypothesis. In a series of extraordinary developments during the 1970s, it emerged that even the physics of the atomic nucleus is connected in ways not yet fully understood to this strange conundrum. Hunting down the solution to the Riemann Hypothesis has become an obsession for many †the veritable great white whale of mathematical research. Yet despite determined efforts by generations of mathematicians, the Riemann Hypothesis defies resolution. Alternating passages of extraordinarily lucid mathematical exposition with chapters of elegantly composed biography and history, Prime Obsession is a fascinating and fluent account of an epic mathematical mystery that continues to challenge and excite the world. Posited a century and a half ago, the Riemann Hypothesis is an intellectual feast for the cognoscenti and the curious alike. Not just a story of numbers and calculations, Prime Obsession is the engrossing tale of a relentless hunt for an elusive proof †and those who have been consumed by it. |
| first steps for math olympians: Solving Mathematical Problems Terence Tao, 2006-07-28 Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics. |
| first steps for math olympians: A Baby Sister for Frances Russell Hoban, 2011-10-04 With a new addition to the family, Frances is feeling left out. So Frances decides to run away—but not too far! This new edition of Russell and Lillian Hoban’s beloved classic is perfect for beginning readers. |
| first steps for math olympians: Challenging Problems in Geometry Alfred S. Posamentier, Charles T. Salkind, 2012-04-30 Collection of nearly 200 unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and more. Arranged in order of difficulty. Detailed solutions. |
| first steps for math olympians: Marguerite Makes a Book Bruce Robertson, 1999 In medieval Paris, Marguerite helps her nearly blind father finish painting an illuminated manuscript for his patron, Lady Isabelle. 46 color illustrations. |
| first steps for math olympians: The Art and Craft of Problem Solving Paul Zeitz, 2017 This text on mathematical problem solving provides a comprehensive outline of problemsolving-ology, concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective. |
| first steps for math olympians: How To Write A Dirty Story Susie Bright, 2012-12-11 From bookstores to the Internet to Susie Bright's own tremendous success with the BEST AMERICAN EROTICA series, we are clearly reading and writing erotica more than ever. Now Susie Bright shows readers how to heat up sex scenes in everything from traditional novels and romances to science fiction and horror. She guides aspiring writers in reading erotica to discover the elements and styles that work. Then she walks them through the writing process: how to get hot ideas, devise steamy plots, use language like a pro and bring the story to a memorable climax. Each chapter features writing exercises and suggestions for non-writing activities that will galvanise the imagination and flatten any hurdle. Drawing on her own experiences, Bright explains how to find an agent, work with an editor, choose a publishing company and sell the work. |
| first steps for math olympians: Mind Gym Gary Mack, David Casstevens, 2002-06-24 Praise for Mind Gym Believing in yourself is paramount to success for any athlete. Gary's lessons and David's writing provide examples of the importance of the mental game. --Ben Crenshaw, two-time Masters champion and former Ryder Cup captain Mind Gym hits a home run. If you want to build mental muscle for the major leagues, read this book. --Ken Griffey Jr., Major League Baseball MVP I read Mind Gym on my way to the Sydney Olympics and really got a lot out of it. Gary has important lessons to teach, and you'll find the exercises fun and beneficial. --Jason Kidd, NBA All-Star and Olympic gold-medal winner In Mind Gym, noted sports psychology consultant Gary Mack explains how your mind influences your performance on the field or on the court as much as your physical skill does, if not more so. Through forty accessible lessons and inspirational anecdotes from prominent athletes--many of whom he has worked with--you will learn the same techniques and exercises Mack uses to help elite athletes build mental muscle. Mind Gym will give you the head edge over the competition. |
| first steps for math olympians: A Cool Drink of Water Barbara Kerley, 2002 Depicts people around the world collecting, chilling, and drinking water. |
| first steps for math olympians: Unbroken Laura Hillenbrand, 2014-07-29 #1 NEW YORK TIMES BESTSELLER • NOW A MAJOR MOTION PICTURE • Look for special features inside. Join the Random House Reader’s Circle for author chats and more. In boyhood, Louis Zamperini was an incorrigible delinquent. As a teenager, he channeled his defiance into running, discovering a prodigious talent that had carried him to the Berlin Olympics. But when World War II began, the athlete became an airman, embarking on a journey that led to a doomed flight on a May afternoon in 1943. When his Army Air Forces bomber crashed into the Pacific Ocean, against all odds, Zamperini survived, adrift on a foundering life raft. Ahead of Zamperini lay thousands of miles of open ocean, leaping sharks, thirst and starvation, enemy aircraft, and, beyond, a trial even greater. Driven to the limits of endurance, Zamperini would answer desperation with ingenuity; suffering with hope, resolve, and humor; brutality with rebellion. His fate, whether triumph or tragedy, would be suspended on the fraying wire of his will. Appearing in paperback for the first time—with twenty arresting new photos and an extensive Q&A with the author—Unbroken is an unforgettable testament to the resilience of the human mind, body, and spirit, brought vividly to life by Seabiscuit author Laura Hillenbrand. Hailed as the top nonfiction book of the year by Time magazine • Winner of the Los Angeles Times Book Prize for biography and the Indies Choice Adult Nonfiction Book of the Year award “Extraordinarily moving . . . a powerfully drawn survival epic.”—The Wall Street Journal “[A] one-in-a-billion story . . . designed to wrench from self-respecting critics all the blurby adjectives we normally try to avoid: It is amazing, unforgettable, gripping, harrowing, chilling, and inspiring.”—New York “Staggering . . . mesmerizing . . . Hillenbrand’s writing is so ferociously cinematic, the events she describes so incredible, you don’t dare take your eyes off the page.”—People “A meticulous, soaring and beautifully written account of an extraordinary life.”—The Washington Post “Ambitious and powerful . . . a startling narrative and an inspirational book.”—The New York Times Book Review “Magnificent . . . incredible . . . [Hillenbrand] has crafted another masterful blend of sports, history and overcoming terrific odds; this is biography taken to the nth degree, a chronicle of a remarkable life lived through extraordinary times.”—The Dallas Morning News “An astonishing testament to the superhuman power of tenacity.”—Entertainment Weekly “A tale of triumph and redemption . . . astonishingly detailed.”—O: The Oprah Magazine “[A] masterfully told true story . . . nothing less than a marvel.”—Washingtonian “[Hillenbrand tells this] story with cool elegance but at a thrilling sprinter’s pace.”—Time “Hillenbrand [is] one of our best writers of narrative history. You don’t have to be a sports fan or a war-history buff to devour this book—you just have to love great storytelling.”—Rebecca Skloot, author of The Immortal Life of Henrietta Lacks |
| first steps for math olympians: Panda-monium Stuart Gibbs, 2018-03-20 Teddy Fitzroy must solve the crime of the kidnapped rare and expensive panda, Li Ping. |
| first steps for math olympians: The Heroes of Olympus, Book Three: The Mark of Athena Rick Riordan, 2012-10-02 In The Son of Neptune, Percy, Hazel, and Frank met in Camp Jupiter, the Roman equivalent of Camp Halfblood, and traveled to the land beyond the gods to complete a dangerous quest. The third book in the Heroes of Olympus series will unite them with Jason, Piper, and Leo. But they number only six--who will complete the Prophecy of Seven? The Greek and Roman demigods will have to cooperate in order to defeat the giants released by the Earth Mother, Gaea. Then they will have to sail together to the ancient land to find the Doors of Death. What exactly are the Doors of Death? Much of the prophecy remains a mystery. . . . With old friends and new friends joining forces, a marvelous ship, fearsome foes, and an exotic setting, The Mark of Athena promises to be another unforgettable adventure by master storyteller Rick Riordan. |
| first steps for math olympians: Productive Math Struggle John J. SanGiovanni, Susie Katt, Kevin J. Dykema, 2020-03-09 All students face struggle, and they should—it is how they learn and grow. The teacher’s job is not to remove struggle, but rather to value and harness it, helping students develop good habits of productive struggle. But what’s missing for many educators is an action plan for how to achieve this, especially when it comes to math. This book guides teachers through six specific actions—including valuing, fostering, building, planning, supporting, and reflecting on struggle—to create a game plan for overcoming obstacles by sharing · Actionable steps, activities, and tools for implementation · Instructional tasks representative of each grade level · Real-world examples showcasing classroom photos and student work |
| first steps for math olympians: Cribsheet Emily Oster, 2020-04-21 From the author of Expecting Better, The Family Firm, and The Unexpected an economist's guide to the early years of parenting. “Both refreshing and useful. With so many parenting theories driving us all a bit batty, this is the type of book that we need to help calm things down.” —LA Times “The book is jampacked with information, but it’s also a delightful read because Oster is such a good writer.” —NPR With Expecting Better, award-winning economist Emily Oster spotted a need in the pregnancy market for advice that gave women the information they needed to make the best decision for their own pregnancies. By digging into the data, Oster found that much of the conventional pregnancy wisdom was wrong. In Cribsheet, she now tackles an even greater challenge: decision-making in the early years of parenting. As any new parent knows, there is an abundance of often-conflicting advice hurled at you from doctors, family, friends, and strangers on the internet. From the earliest days, parents get the message that they must make certain choices around feeding, sleep, and schedule or all will be lost. There's a rule—or three—for everything. But the benefits of these choices can be overstated, and the trade-offs can be profound. How do you make your own best decision? Armed with the data, Oster finds that the conventional wisdom doesn't always hold up. She debunks myths around breastfeeding (not a panacea), sleep training (not so bad!), potty training (wait until they're ready or possibly bribe with M&Ms), language acquisition (early talkers aren't necessarily geniuses), and many other topics. She also shows parents how to think through freighted questions like if and how to go back to work, how to think about toddler discipline, and how to have a relationship and parent at the same time. Economics is the science of decision-making, and Cribsheet is a thinking parent's guide to the chaos and frequent misinformation of the early years. Emily Oster is a trained expert—and mom of two—who can empower us to make better, less fraught decisions—and stay sane in the years before preschool. |
| first steps for math olympians: 102 Combinatorial Problems Titu Andreescu, Zuming Feng, 2013-11-27 102 Combinatorial Problems consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and advanced geometry, functional equations and classical inequalities The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics. |
| first steps for math olympians: Mathematical Olympiad Challenges Titu Andreescu, Razvan Gelca, 2013-12-01 Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory were selected from numerous mathematical competitions and journals. An important feature of the work is the comprehensive background material provided with each grouping of problems. The problems are clustered by topic into self-contained sections with solutions provided separately. All sections start with an essay discussing basic facts and one or two representative examples. A list of carefully chosen problems follows and the reader is invited to take them on. Additionally, historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on encouraging readers to move away from routine exercises and memorized algorithms toward creative solutions to open-ended problems. Aimed at motivated high school and beginning college students and instructors, this work can be used as a text for advanced problem- solving courses, for self-study, or as a resource for teachers and students training for mathematical competitions and for teacher professional development, seminars, and workshops. |
| first steps for math olympians: You Were Made to Make a Difference Max Lucado, Jenna Lucado Bishop, 2010-09-14 This adaptation of Outlive Your Life for teens offers practical tips youth can take out into their community to make a difference, plus real-life stories about those who have done just that. |
| first steps for math olympians: Competitions for Young Mathematicians Alexander Soifer, 2017-06-15 This book gathers the best presentations from the Topic Study Group 30: Mathematics Competitions at ICME-13 in Hamburg, and some from related groups, focusing on the field of working with gifted students. Each of the chapters includes not only original ideas, but also original mathematical problems and their solutions. The book is a valuable resource for researchers in mathematics education, secondary and college mathematics teachers around the globe as well as their gifted students. |
| first steps for math olympians: The Hard Count Ginger Scott, 2016-07-15 Nico Medina’s world is eleven miles away from mine. During the day, it’s a place where doors are open—where homes are lived in, and neighbors love. But when the sun sets, it becomes a place where young boys are afraid, where eyes watch from idling cars that hide in the shadows and wicked smoke flows from pipes. West End is the kind of place that people survive. It buries them—one at a time, one way or another. And when Nico was a little boy, his mom always told him to run. I’m Reagan Prescott—coach’s daughter, sister to the prodigal son, daughter in the perfect family. Life on top. Lies. My world is the ugly one. Private school politics and one of the best high school football programs in the country can break even the toughest souls. Our darkness plays out in whispers and rumors, and money and status trump all. I would know—I’ve watched it kill my family slowly, strangling us for years. In our twisted world, a boy from West End is the only shining light. Quarterback. Hero. Heart. Good. I hated him before I needed him. I fell for him fast. I loved him when it was almost too late. When two ugly worlds collide, even the strongest fall. But my world…it hasn’t met the boy from West End. |
| first steps for math olympians: A Century of Innovation 3M Company, 2002 A compilation of 3M voices, memories, facts and experiences from the company's first 100 years. |
| first steps for math olympians: Liar, Liar Gary Paulsen, 2012-04-24 Kevin doesn't mean to make trouble when he lies. He's just really good at it, and it makes life so much easier. But as his lies pile up, he finds himself in big—and funny—trouble with his friends, family, and teachers. He's got to find a way to end his lying streak—forever. |
| first steps for math olympians: Solving Problems in Geometry Kim Hoo Hang, Haibin Wang, 2017 This new volume of the Mathematical Olympiad Series focuses on the topic of geometry. Basic and advanced theorems commonly seen in Mathematical Olympiad are introduced and illustrated with plenty of examples. Special techniques in solving various types of geometrical problems are also introduced, while the authors elaborate extensively on how to acquire an insight and develop strategies in tackling difficult geometrical problems. This book is suitable for any reader with elementary geometrical knowledge at the lower secondary level. Each chapter includes sufficient scaffolding and is comprehensive enough for the purpose of self-study. Readers who complete the chapters on the basic theorems and techniques would acquire a good foundation in geometry and may attempt to solve many geometrical problems in various mathematical competitions. Meanwhile, experienced contestants in Mathematical Olympiad competitions will find a large collection of problems pitched at competitions at the international level, with opportunities to practise and sharpen their problem-solving skills in geometry. |
| first steps for math olympians: Spirit Fighter Jerel Law, 2012-04-02 “In his exciting debut novel, Jerel Law transports readers to a place where supernatural forces of good and evil collide. Young readers will be entertained and inspired by Spirit Fighter. I heartily recommend it.” —Robert Whitlow, bestselling author of the Tides of Truth series Percy Jackson, move over! Jonah Stone is here! What if Nephilim—the children of angels and men—still walked the earth? And their very presence put the entire world in danger? In Spirit Fighter, Jonah and Eliza Stone learn that their mother is a Nephilim and that they have special powers as quarter-angels. When their mom is kidnapped by fallen angels, they must use those powers to save her. Along the way, they discover that there is a very real and dangerous war going on between good and evil and that God has a big part for them to play in that war. Parents today are looking for fiction that makes Christianity and the Bible exciting for their kids. This series is the Christian answer to Percy Jackson and the Olympians, The Kane Chronicles, The Secret Series and other middle-grade series packed with adventure, action, and supernatural fights. Son of Angels, Jonah Stone will be the first series in the market to explore this topic from a biblical perspective with content that is appropriate and exciting for middle-grade readers. “Jerel Law has crafted a fantastic story that will leave every reader wanting more. Stop looking for the next great read in fantasy fiction for young readers—you’ve found it!” —Robert Liparulo, bestselling author of Dreamhouse Kings and The 13th Tribe |
| first steps for math olympians: Shape Jordan Ellenberg, 2021-05-25 An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word geometrycomes from the Greek for measuring the world. If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how. |
Last name 和 First name 到底哪个是名哪个是姓？ - 知乎
Last name 和 First name 到底哪个是名哪个是姓？ 上学的时候老师说因为英语文化中名在前，姓在后，所以Last name是姓，first …
first 和 firstly 的用法区别是什么？ - 知乎
a.First （ = First of all）I must finish this work.（含义即，先完成这项工作再说，因为这是必须的，重要的，至于其它，再说 …
EndNote如何设置参考文献英文作者姓全称，名缩写？ - 知乎
知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和 …
对一个陌生的英文名字，如何快速确定哪个是姓哪个是名？ - 知乎
知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和 …
发表sci共同第一作者(排名第二)有用吗？ - 知乎
知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和 …
Last name 和 First name 到底哪个是名哪个是姓？ - 知乎
Last name 和 First name 到底哪个是名哪个是姓？ 上学的时候老师说因为英语文化中名在前，姓在后，所以Last name是姓，first name是名，假设一个中国人叫孙悟空，那么他的first nam…
first 和 firstly 的用法区别是什么？ - 知乎
a.First （ = First of all）I must finish this work.（含义即，先完成这项工作再说，因为这是必须的，重要的，至于其它，再说吧） b.First come，first served .先来，先招待（最重要） …
EndNote如何设置参考文献英文作者姓全称，名缩写？ - 知乎
知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。知乎凭借认真、专业 …
对一个陌生的英文名字，如何快速确定哪个是姓哪个是名？ - 知乎
知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。知乎凭借认真、专业 …
发表sci共同第一作者(排名第二)有用吗？ - 知乎
知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。知乎凭借认真、专业 …
有大神公布一下Nature Communications从投出去到Online的审稿 …
知乎，中文互联网高质量的问答社区和创作者聚集的原创内容平台，于 2011 年 1 月正式上线，以「让人们更好的分享知识、经验和见解，找到自己的解答」为品牌使命。知乎凭借认真、专业 …
GM、VP、FVP、CIO都是什么职位？ - 知乎
FVP（First Vice President）则是指公司的第一副总裁，通常是在VP之上的高管职位。 VP（Vice President）是指公司的副总裁，通常是在高层管理团队中担任领导职务的高管。
论文作者后标注了共同一作（数字1）但没有解释标注还算共一 …
Aug 26, 2022 · 是在不同作者姓名的右上角标了数字1吗？ 共同作者可不是这么标的。 标注共同一作的方法并不是有的作者以为的上下并列，而是在共同第一作者的右上角标注相同的符号，比 …
贝塞尔函数及其性质 - 知乎
为第一类贝塞尔函数 (Bessel functions of the first kind)， 为第二类贝塞尔函数 (Bessel functions of the second kind)，有的也记为 。 第一类贝塞尔函数积分表达式. 对于整数阶n， 该公式也 …
2025年618 CPU选购指南丨CPU性能天梯图（R23 单核/多核性能跑 …
May 4, 2025 · cpu型号名称小知识 amd. 无后缀 ：普通型号; 后缀 g ：有高性能核显型号（5000系及之前系列 除了后缀有g的其他均为 无核显，7000除了后缀f，都有核显）
