First Steps For Math Olympians Using The American Mathematics Competitions

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First Steps for Math Olympians

Author : J. Douglas Faires
Publisher : MAA
ISBN 13 : 9780883858240
Total Pages : 344 pages
Book Rating : 4.8/5 (582 download)

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Book Synopsis First Steps for Math Olympians by : J. Douglas Faires

Download or read book First Steps for Math Olympians written by J. Douglas Faires and published by MAA. This book was released on 2006-12-21 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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: Using the American Mathematics Competitions

Author : J. Douglas Faires
Publisher : American Mathematical Soc.
ISBN 13 : 1470451263
Total Pages : 307 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis First Steps for Math Olympians: Using the American Mathematics Competitions by : J. Douglas Faires

Download or read book First Steps for Math Olympians: Using the American Mathematics Competitions written by J. Douglas Faires and published by American Mathematical Soc.. This book was released on 2020-10-26 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!

For the Rising Math Olympians

Author : Jesse Doan
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781536991079
Total Pages : 260 pages
Book Rating : 4.9/5 (91 download)

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Book Synopsis For the Rising Math Olympians by : Jesse Doan

Download or read book For the Rising Math Olympians written by Jesse Doan and published by Createspace Independent Publishing Platform. This book was released on 2016-08-15 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the Rising Math Olympians contains over 500 examples and brand-new problems in Number Theory, Algebra, Counting & Probability, and Geometry that are frequently tested in math competitions. Each chapter contains concepts with detailed explanations, examples with step-by-step solutions, and review problems to reinforce the students' understanding. This book is written for beginning mathletes who are interested in learning advanced problem solving and critical thinking skills in preparation for elementary and middle school math competitions. For the past three years, Jesse has served as an assistant coach for his former middle school math team and the curriculum director for the Maui Math Circle. In 2016, three of his students finished in the top 10 in the Hawaii State Mathcounts Competition. This book consists of the top 20 math concepts that he used to train his students.

A First Step to Mathematical Olympiad Problems

Author : Derek Holton
Publisher : World Scientific Publishing Company
ISBN 13 : 9814365254
Total Pages : 292 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis A First Step to Mathematical Olympiad Problems by : Derek Holton

Download or read book A First Step to Mathematical Olympiad Problems written by Derek Holton and published by World Scientific Publishing Company. This book was released on 2009-07-30 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Gentle Introduction to the American Invitational Mathematics Exam

Author : Scott A. Annin
Publisher : The Mathematical Association of America
ISBN 13 : 0883858355
Total Pages : 399 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis A Gentle Introduction to the American Invitational Mathematics Exam by : Scott A. Annin

Download or read book A Gentle Introduction to the American Invitational Mathematics Exam written by Scott A. Annin and published by The Mathematical Association of America. This book was released on 2015-11-16 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a celebration of mathematical problem solving at the level of the high school American Invitational Mathematics Examination. There is no other book on the market focused on the AIME. It is intended, in part, as a resource for comprehensive study and practice for the AIME competition for students, teachers, and mentors. After all, serious AIME contenders and competitors should seek a lot of practice in order to succeed. However, this book is also intended for anyone who enjoys solving problems as a recreational pursuit. The AIME contains many problems that have the power to foster enthusiasm for mathematics – the problems are fun, engaging, and addictive. The problems found within these pages can be used by teachers who wish to challenge their students, and they can be used to foster a community of lovers of mathematical problem solving! There are more than 250 fully-solved problems in the book, containing examples from AIME competitions of the 1980’s, 1990’s, 2000’s, and 2010’s. In some cases, multiple solutions are presented to highlight variable approaches. To help problem-solvers with the exercises, the author provides two levels of hints to each exercise in the book, one to help stuck starters get an idea how to begin, and another to provide more guidance in navigating an approach to the solution.

A Mathematical Orchard

Author : Mark Krusemeyer
Publisher : MAA
ISBN 13 : 0883858339
Total Pages : 412 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis A Mathematical Orchard by : Mark Krusemeyer

Download or read book A Mathematical Orchard written by Mark Krusemeyer and published by MAA. This book was released on 2012-10-11 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: An entertaining collection of 208 accessible yet challenging mathematical puzzles, designed to appeal to problem solvers at many different levels.

Euclidean Geometry in Mathematical Olympiads

Author : Evan Chen
Publisher : American Mathematical Soc.
ISBN 13 : 1470466201
Total Pages : 311 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Euclidean Geometry in Mathematical Olympiads by : Evan Chen

Download or read book Euclidean Geometry in Mathematical Olympiads written by Evan Chen and published by American Mathematical Soc.. This book was released on 2021-08-23 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.

Trigonometry

Author : James Tanton
Publisher : The Mathematical Association of America
ISBN 13 : 0883858363
Total Pages : 233 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis Trigonometry by : James Tanton

Download or read book Trigonometry written by James Tanton and published by The Mathematical Association of America. This book was released on 2015-08-10 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This guide covers the story of trigonometry. It is a swift overview, but it is complete in the context of the content discussed in beginning and advanced high-school courses. The purpose of these notes is to supplement and put into perspective the material of any course on the subject you may have taken or are currently taking. (These notes will be tough going for those encountering trigonometry for the very first time!)

Hungarian Problem Book IV

Author : Robert Barrington Leigh
Publisher : MAA
ISBN 13 : 0883858312
Total Pages : 132 pages
Book Rating : 4.8/5 (838 download)

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Book Synopsis Hungarian Problem Book IV by : Robert Barrington Leigh

Download or read book Hungarian Problem Book IV written by Robert Barrington Leigh and published by MAA. This book was released on 2011 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Forty-eight challenging problems from the oldest high school mathematics competition in the world. This book is a continuation of Hungarian Problem Book III and takes the contest from 1944 through to 1963. This book is intended for beginners, although the experienced student will find much here.

Wearing Gauss’s Jersey

Author : Dean Hathout
Publisher : CRC Press
ISBN 13 : 1466508663
Total Pages : 276 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Wearing Gauss’s Jersey by : Dean Hathout

Download or read book Wearing Gauss’s Jersey written by Dean Hathout and published by CRC Press. This book was released on 2013-05-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wearing Gauss’s Jersey focuses on "Gauss problems," problems that can be very tedious and time consuming when tackled in a traditional, straightforward way but if approached in a more insightful fashion, can yield the solution much more easily and elegantly. The book shows how mathematical problem solving can be fun and how students can improve their mathematical insight, regardless of their initial level of knowledge. Illustrating the underlying unity in mathematics, it also explores how problems seemingly unrelated on the surface are actually extremely connected to each other. Each chapter starts with easy problems that demonstrate the simple insight/mathematical tools necessary to solve problems more efficiently. The text then uses these simple tools to solve more difficult problems, such as Olympiad-level problems, and develop more complex mathematical tools. The longest chapters investigate combinatorics as well as sequences and series, which are some of the most well-known Gauss problems. These topics would be very tedious to handle in a straightforward way but the book shows that there are easier ways of tackling them.

Articles and Excerpts, Volume 1

Author : AoPS Incorporated
Publisher : AoPS Incorporated
ISBN 13 : 1934124001
Total Pages : 98 pages
Book Rating : 4.9/5 (341 download)

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Book Synopsis Articles and Excerpts, Volume 1 by : AoPS Incorporated

Download or read book Articles and Excerpts, Volume 1 written by AoPS Incorporated and published by AoPS Incorporated. This book was released on 2006 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:

How to Think Like a Mathematician

Author : Kevin Houston
Publisher : Cambridge University Press
ISBN 13 : 9781139477055
Total Pages : pages
Book Rating : 4.4/5 (77 download)

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Book Synopsis How to Think Like a Mathematician by : Kevin Houston

Download or read book How to Think Like a Mathematician written by Kevin Houston and published by Cambridge University Press. This book was released on 2009-02-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Mathematics Teacher

Author :
Publisher :
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis The Mathematics Teacher by :

Download or read book The Mathematics Teacher written by and published by . This book was released on 2006 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Contest Problem Book IX

Author : Dave Wells
Publisher : MAA
ISBN 13 : 9780883858264
Total Pages : 236 pages
Book Rating : 4.8/5 (582 download)

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Book Synopsis The Contest Problem Book IX by : Dave Wells

Download or read book The Contest Problem Book IX written by Dave Wells and published by MAA. This book was released on 2008-12-18 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: A compilation of 325 problems and solutions for high school students. A valuable resource for any mathematics teacher.

Mathematical Circle Diaries, Year 2: Complete Curriculum for Grades 6 to 8

Author : Anna Burago
Publisher : American Mathematical Soc.
ISBN 13 : 147043718X
Total Pages : 362 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Mathematical Circle Diaries, Year 2: Complete Curriculum for Grades 6 to 8 by : Anna Burago

Download or read book Mathematical Circle Diaries, Year 2: Complete Curriculum for Grades 6 to 8 written by Anna Burago and published by American Mathematical Soc.. This book was released on 2018-07-03 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Contest Problem Book VIII

Author : J. Douglas Faires
Publisher : MAA
ISBN 13 : 9780883858257
Total Pages : 236 pages
Book Rating : 4.8/5 (582 download)

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Book Synopsis The Contest Problem Book VIII by : J. Douglas Faires

Download or read book The Contest Problem Book VIII written by J. Douglas Faires and published by MAA. This book was released on 2008 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In 2000, the Mathematical Association of America initiated the American Mathematics Competitions 10 (AMC 10) for students up to grade 10. The Contest Problem Book VIII is the first collection of problems from that competition, covering the years 2000-2007. J. Douglas Faires and David Wells were the joint directors of the AMC 10 and AMC 12 during that period, and have assembled this book of problems and solutions." "There are 350 problems from the first 14 contests included in this collection. A Problem Index at the back of the book classifies the problems into the following major subject areas: Algebra and Arithmetic, Sequences and Series, Triangle Geometry, Circle Geometry, Quadrilateral Geometry, Polygon Geometry, Coordinate Geometry, Solid Geometry, Counting, Discrete Probability, Statistics, Number Theory, and Logic. The major subject areas are then broken down into subcategories for ease of reference. The problems are cross-referenced when they represent several subject areas."--BOOK JACKET.

A Second Step To Mathematical Olympiad Problems

Author : Derek Allan Holton
Publisher : World Scientific Publishing Company
ISBN 13 : 9813100737
Total Pages : 312 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis A Second Step To Mathematical Olympiad Problems by : Derek Allan Holton

Download or read book A Second Step To Mathematical Olympiad Problems written by Derek Allan Holton and published by World Scientific Publishing Company. This book was released on 2011-06-30 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: See also A FIRST 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 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.