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| 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 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: 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: Competition Math for Middle School Jason Batteron, 2011-01-01 |
| 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: 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: 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: 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: It's a Numbers Game! Baseball James Buckley, Jr., 2021 With every hit, ball, strike, and home run numbers are being calculated on the baseball field. Get ready to learn all the ways digits and math factor into the game, from the countless statistics used to measure an individual player's game to the exact timing used to steal a base. Read about all the greatest players from baseball history and get fun facts, like what the most retired jersey number is. Discover what countries dominate in the Little League World Series and check out cool graphics that show the frequency of hits to every part of the field. Jam-packed with sports trivia, awesome photos, and fun activities at the end of every chapter, this number-focused look at the game is the ultimate grand slam. |
| 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: 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: 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: 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: Origin Jessica Khoury, 2012-09-04 Pia has always known her destiny. She is meant to start a new race, a line of descendants who will bring an end to death. She has been bred for no other purpose, genetically engineered to be immortal and raised by a team of scientists in a secret compound hidden deep in the Amazon rainforest. Now those scientists have begun to challenge her, with the goal of training her to carry on their dangerous work. For as long as she can remember, Pia’s greatest desire has been to fulfill their expectations. But then one night she finds a hole in the impenetrable fence that surrounds her sterile home. Free in the jungle for the first time in her life, Pia meets Eio, a boy from a nearby village. Unable to resist, she continues sneaking out to see him. As they fall in love, they begin to piece together the truth about Pia’s origin—a truth with nothing less than deadly consequences that will change their lives forever. Origin is a beautifully told, electric new way to look at an age-old desire: to live forever. But is eternal life worth living if you can’t spend it with the one you love? |
| 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: 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: 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: 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: 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: A Cool Drink of Water Barbara Kerley, 2002 Depicts people around the world collecting, chilling, and drinking water. |
| 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: 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: 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: The IMO Compendium Dušan Djukić, Vladimir Janković, Ivan Matić, Nikola Petrović, 2011-05-05 The IMO Compendium is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world. Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. The IMO Compendium is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off. |
| first steps for math olympians: Think-a-Grams A1 Evelyne M. Graham, 2011-10-12 |
| 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: Earlybird Kindergarten Mathematics: Textbook A Ban Har Yeap, Winnie Tan, Marshall Cavendish Education, 2014 Earlybird Kindergarten Mathematics Common Core Edition helps kindergarten students build a strong foundation in mathematics through fun-filled lessons and activities. ...updated to align with the Common Core State Standards--Cover, p. [4]. |
| first steps for math olympians: The Story of Little Babaji Helen Bannerman, 2002-06-18 Helen Bannerman, who was born in Edinburgh in 1863, lived in India for thirty years. As a gift for her two little girls, she wrote and illustrated The Story of Little Black Sambo (1899), a story that clearly takes place in India (with its tigers and ghi, or melted butter), even though the names she gave her characters belie that setting. For this new edition of Bannerman's much beloved tale, the little boy, his mother, and his father have all been give authentic Indian names: Babaji, Mamaji, and Papaji. And Fred Marcellino's high-spirited illustrations lovingly, memorably transform this old favorite. He gives a classic story new life. |
| 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: 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: 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: Mathematical Circle Diaries, Year 2 Anna Burago, 2018-07-03 Mathematical circles, with their question-driven approach and emphasis on problem solving, expose students to the type of mathematics that stimulates the development of logical thinking, creativity, analytical abilities, and mathematical reasoning. These skills, while scarcely introduced at school, are in high demand in the modern world. This book, a sequel to Mathematical Circle Diaries, Year 1, teaches how to think and solve problems in mathematics. The material, distributed among twenty-nine weekly lessons, includes detailed lectures and discussions, sets of problems with solutions, and contests and games. In addition, the book shares some of the know-how of running a mathematical circle. The book covers a broad range of problem-solving strategies and proofing techniques, as well as some more advanced topics that go beyond the limits of a school curriculum. The topics include invariants, proofs by contradiction, the Pigeonhole principle, proofs by coloring, double counting, combinatorics, binary numbers, graph theory, divisibility and remainders, logic, and many others. When students take science and computing classes in high school and college, they will be better prepared for both the foundations and advanced material. The book contains everything that is needed to run a successful mathematical circle for a full year. This book, written by an author actively involved in teaching mathematical circles for fifteen years, is intended for teachers, math coaches, parents, and math enthusiasts who are interested in teaching math that promotes critical thinking. Motivated students can work through this book on their own. 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: Numerical Methods J. Douglas Faires, Richard L. Burden, 1998 This text emphasizes the intelligent application of approximation techniques to the type of problems that commonly occur in engineering and the physical sciences. The authors provide a sophisticated introduction to various appropriate approximation techniques; they show students why the methods work, what type of errors to expect, and when an application might lead to difficulties; and they provide information about the availability of high-quality software for numerical approximation routines The techniques covered in this text are essentially the same as those covered in the Sixth Edition of these authors' top-selling Numerical Analysis text, but the emphasis is much different. In Numerical Methods, Second Edition, full mathematical justifications are provided only if they are concise and add to the understanding of the methods. The emphasis is placed on describing each technique from an implementation standpoint, and on convincing the student that the method is reasonable both mathematically and computationally. |
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