Concepts In Competitive Mathematics

Author : Zachary M. Boazman
Publisher : Zachary Boazman
Page : 96 pages
File Size : 47,7 Mb
Release : 2010-05-27
Category : Mathematics
ISBN : 8210379456XXX

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Concepts in Competitive Mathematics by Zachary M. Boazman Pdf

This short reference book contains fundamental concepts crucial to solving math competition problems such as those found on the Mathematical Association of America's AMC 10, AMC 12, and AIME, as well as those found in local or regional competitions. Full of formulas as well as examples and solutions, this book shows how specific problems can be best solved in order to succeed in math competitions. Content is organized by mathematical topic and has been selected for its diversity. Topics include Number Theory, Combinatorics, Probability, Statistics, Sequences and Series, Algebra, Geometry, Trigonometry, and Coordinate Mathematics. The book even contains a section containing the author's own tips from past experience in math competitions. All in all, this is a must buy for math competition participants and teachers alike. Contains: Nine Chapters, Table of Contents, Index.

Author : Alexander Sarana,Anatoliy Pogorui,Ramón M. Rodríguez-Dagnino
Publisher : Courier Dover Publications
Page : 430 pages
File Size : 46,7 Mb
Release : 2020-08-12
Category : Mathematics
ISBN : 9780486842530

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Concepts and Problems for Mathematical Competitors by Alexander Sarana,Anatoliy Pogorui,Ramón M. Rodríguez-Dagnino Pdf

This original work discusses mathematical methods needed by undergraduates in the United States and Canada preparing for competitions at the level of the International Mathematical Olympiad (IMO) and the Putnam Competition. The six-part treatment covers counting methods, number theory, inequalities and the theory of equations, metrical geometry, analysis, and number representations and logic. Includes problems with solutions plus 1,000 problems for students to finish themselves.

Author : Zachary M. Boazman,Richard Newcomb
Publisher : CreateSpace
Page : 104 pages
File Size : 48,7 Mb
Release : 2014-08-13
Category : Mathematics
ISBN : 1500837261

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Concepts in Competitive Mathematics, Second Edition by Zachary M. Boazman,Richard Newcomb Pdf

This short reference book contains fundamental concepts crucial to solving math competition problems such as those found on the Mathematical Association of America's AMC 10, AMC 12, and AIME, as well as those found in local or regional competitions. Full of formulas as well as examples and solutions, this book shows how specific problems can be best solved in order to succeed in math competitions. Content is organized by mathematical topic and has been selected for its diversity. Topics include Number Theory, Combinatorics, Probability, Statistics, Sequences and Series, Algebra, Geometry, Trigonometry, and Coordinate Mathematics. The book even contains a section containing the author's own tips from past experience in math competitions. All in all, this is a must buy for math competition participants and teachers alike. Contains: Nine Chapters, Table of Contents, Bibliography, Index. What's new in the second edition? Larger figures Improved formatting More exmples New contests cited Updated information Bibliography Corrected errors And more!

Author : Jason Batteron
Publisher : Unknown
Page : 128 pages
File Size : 51,6 Mb
Release : 2011-01-01
Category : Electronic
ISBN : 1934124206

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Competition Math for Middle School by Jason Batteron Pdf

Author : Xinfeng Zhou,Annabel Zhou
Publisher : Independently Published
Page : 268 pages
File Size : 53,6 Mb
Release : 2020-06-09
Category : Electronic
ISBN : 9798652395384

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A Practical Guide To Math Competitions by Xinfeng Zhou,Annabel Zhou Pdf

Math Competitions are not easy. You could study all the textbooks you want, but you still may not obtain all the skills needed to get a good score. That's why we wrote this book. Our goal is to bridge the gap between math classes or textbooks and the competition themselves. The book reviews essential math concepts and, through examples, shows how to apply such concepts. Readers will learn to use their knowledge of math topics in new and creative ways and will also develop their general problem-solving skills. This book is a comprehensive guide that is specifically targeted for those who want to attempt a math competition. If you're looking to enter competitions like AMC10 or AIME, this is the book you will need.

Author : David C. Geary,Daniel B. Berch,Robert Ochsendorf,Kathleen Mann Koepke
Publisher : Academic Press
Page : 360 pages
File Size : 53,5 Mb
Release : 2017-02-08
Category : Psychology
ISBN : 9780128133682

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Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts by David C. Geary,Daniel B. Berch,Robert Ochsendorf,Kathleen Mann Koepke Pdf

Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts focuses on typical and atypical learning of complex arithmetic skills and higher-order math concepts. As part of the series Mathematical Cognition and Learning, this volume covers recent advances in the understanding of children’s developing competencies with whole-number arithmetic, fractions, and rational numbers. Each chapter covers these topics from multiple perspectives, including genetic disorders, cognition, instruction, and neural networks. Covers innovative measures and recent methodological advances in mathematical thinking and learning Contains contributions that improve instruction and education in these domains Informs policy aimed at increasing the level of mathematical proficiency in the general public

Author : Vinod Krishnamoorthy
Publisher : CRC Press
Page : 256 pages
File Size : 43,6 Mb
Release : 2018-04-09
Category : Mathematics
ISBN : 9781351767644

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Competitive Math for Middle School by Vinod Krishnamoorthy Pdf

The 39 self-contained sections in this book present worked-out examples as well as many sample problems categorized by the level of difficulty as Bronze, Silver, and Gold in order to help the readers gauge their progress and learning. Detailed solutions to all problems in each section are provided at the end of each chapter. The book can be used not only as a text but also for self-study. The text covers algebra (solving single equations and systems of equations of varying degrees, algebraic manipulations for creative problem solving, inequalities, basic set theory, sequences and series, rates and proportions, unit analysis, and percentages), probability (counting techniques, introductory probability theory, more set theory, permutations and combinations, expected value, and symmetry), and number theory (prime factorizations and their applications, Diophantine equations, number bases, modular arithmetic, and divisibility). It focuses on guiding students through creative problem-solving and on teaching them to apply their knowledge in a wide variety of scenarios rather than rote memorization of mathematical facts. It is aimed at, but not limited to, high-performing middle school students and goes further in depth and teaches new concepts not otherwise taught in traditional public schools.

Author : Cleo Borac,Silviu Borac
Publisher : Unknown
Page : 68 pages
File Size : 54,8 Mb
Release : 2014-06-24
Category : Electronic
ISBN : 0692245650

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Practice Observation and Logic by Cleo Borac,Silviu Borac Pdf

2nd Edition - 2014 About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, Math Kangaroo in USA, or Noetic Math? This series will open the doors to consistent performance. About Level 1 This level of the series is designed for students who know addition and subtraction with multi-digit numbers as well as simple multiplications of one-digit numbers. Some of the problems, however, involve advanced concepts and may be useful for older students. About Volume 2 - Observation and Logic The problems in this volume are based on contrast, surprise elements, and lateral thinking. They encourage students to give themselves more freedom in exploring the universe of each problem statement. Creative thinking is rewarded, but repetitive thinking is not. Advanced mathematical concepts are introduced in simplified forms. This book includes patterning and an elementary treatment of rates.

Author : J. Douglas Faires
Publisher : American Mathematical Soc.
Page : 307 pages
File Size : 53,9 Mb
Release : 2020-10-26
Category : Education
ISBN : 9781470451264

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

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!

Author : Alexander Toller,Freya Edholm,Dennis Chen
Publisher : Lulu.com
Page : 452 pages
File Size : 42,9 Mb
Release : 2024-06-26
Category : Electronic
ISBN : 9780359781980

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Proofs in Competition Math: Volume 2 by Alexander Toller,Freya Edholm,Dennis Chen Pdf

Author : George Polya,Jeremy Kilpatrick
Publisher : Courier Corporation
Page : 80 pages
File Size : 45,5 Mb
Release : 2013-04-09
Category : Mathematics
ISBN : 9780486318325

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The Stanford Mathematics Problem Book by George Polya,Jeremy Kilpatrick Pdf

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.

Author : Alexander Toller,Freya Edholm,Dennis Chen
Publisher : Lulu.com
Page : 460 pages
File Size : 48,5 Mb
Release : 2024-06-26
Category : Electronic
ISBN : 9780359714926

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Proofs in Competition Math: Volume 1 by Alexander Toller,Freya Edholm,Dennis Chen Pdf

Author : Cleo Borac,Silviu Borac
Publisher : Unknown
Page : 124 pages
File Size : 45,6 Mb
Release : 2013-08-25
Category : Electronic
ISBN : 0615873863

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Practice Word Problems by Cleo Borac,Silviu Borac Pdf

About "Competitive Mathematics for Gifted Students" This series provides practice materials and short theory reminders for students who aim to excel at problem solving. Material is introduced in a structured manner: each new concept is followed by a problem set that explores the content in detail. Each book ends with a problem set that reviews both concepts presented in the current volume and related topics from previous volumes. The series forms a learning continuum that explores strategies specific to competitive mathematics in depth and breadth. Full solutions explain both reasoning and execution. Often, several solutions are contrasted. The problem selection emphasizes comprehension, critical thinking, observation, and avoiding repetitive and mechanical procedures. Ready to participate in a math competition such as MOEMS, AMC-8, Math Kangaroo in USA, or MATHCOUNTS? This series will open the doors to consistent performance. About Level 3 This level of the series is designed for students who can solve linear equations, are fluent with fractions, and can factor into primes. The problem sets are designed to strengthen specific areas where we know students have difficulty on AMC-8 and AMC-10. The level 2 books are a strong preparation for AMC-8 and a partial preparation for AMC-10. Level 2 consists of: Word Problems (volume 9), Operations and Algebra (volume 10), Arithmetic and Number Theory (volume 11), and Combinatorics (volume 12). On the contest list for this level: MATHCOUNTS, Math Kangaroo levels 5-6 and 7-8, MOEMS-M, Purple Comet, AMC-8. The computational complexity makes these problem sets useful for preparing AIME in the long run. About Volume 9 - Word Problems The problem sets offer a variety of applications of fractions, decimals and percentages. Some of the most dreaded categories of problems are thoroughly represented: mixtures, rates, and problems that engage comprehension. Mixture problems are among the problems that are underrepresented in other resources while being some of the more challenging word problems on AMC-10. The computational complexity familiarizes students with AIME level problems, albeit the easier problems on AIME. The full solutions provide insight in the optimal order of operations and a thorough description of the solving strategies.

Author : D. O. Shklarsky,N. N. Chentzov,I. M. Yaglom
Publisher : Courier Corporation
Page : 480 pages
File Size : 50,7 Mb
Release : 2013-04-15
Category : Mathematics
ISBN : 9780486319865

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The USSR Olympiad Problem Book by D. O. Shklarsky,N. N. Chentzov,I. M. Yaglom Pdf

Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from Mathematical Olympiads held at Moscow University. Only high school math needed. Includes complete solutions. Features 27 black-and-white illustrations. 1962 edition.

Author : Razvan Gelca,Titu Andreescu
Publisher : Springer Science & Business Media
Page : 798 pages
File Size : 42,9 Mb
Release : 2007-08-11
Category : Mathematics
ISBN : 9780387684451

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Putnam and Beyond by Razvan Gelca,Titu Andreescu Pdf

Putnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research.