Concepts In Competitive Mathematics

Author : Alexander Sarana
Publisher : Courier Dover Publications
ISBN 13 : 0486842533
Total Pages : 430 pages
Book Rating : 4.30/5 ( download)

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Download or read book Concepts and Problems for Mathematical Competitors written by Alexander Sarana and published by Courier Dover Publications. This book was released on 2020-08-12 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher : Zachary Boazman
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4./5 ( download)

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Download or read book Concepts in Competitive Mathematics written by Zachary M. Boazman and published by Zachary Boazman. This book was released on 2010-05-27 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Zachary M. Boazman
Publisher : CreateSpace
ISBN 13 : 9781500837266
Total Pages : 104 pages
Book Rating : 4.61/5 ( download)

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Download or read book Concepts in Competitive Mathematics, Second Edition written by Zachary M. Boazman and published by CreateSpace. This book was released on 2014-08-13 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
ISBN 13 : 9781934124208
Total Pages : pages
Book Rating : 4.06/5 ( download)

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Download or read book Competition Math for Middle School written by Jason Batteron and published by . This book was released on 2011-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Vinod Krishnamoorthy
Publisher : CRC Press
ISBN 13 : 135176764X
Total Pages : 256 pages
Book Rating : 4.44/5 ( download)

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Download or read book Competitive Math for Middle School written by Vinod Krishnamoorthy and published by CRC Press. This book was released on 2018-04-09 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Publisher :
ISBN 13 : 9780692240076
Total Pages : 294 pages
Book Rating : 4.71/5 ( download)

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Download or read book Competitive Mathematics for Gifted Students - Level 1 Combo written by Cleo Borac and published by . This book was released on 2014-06-14 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a combo volume that incorporates all four volumes for level 1. The interior of the 4 in 1 volume is always updated to contain the latest edition of the individual volumes. 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.

Author : J. Douglas Faires
Publisher : American Mathematical Soc.
ISBN 13 : 1470451263
Total Pages : 307 pages
Book Rating : 4.64/5 ( download)

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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!

Author : Jacek Woźny
Publisher : Springer
ISBN 13 : 3319776886
Total Pages : 118 pages
Book Rating : 4.80/5 ( download)

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Download or read book How We Understand Mathematics written by Jacek Woźny and published by Springer. This book was released on 2018-04-25 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume examines mathematics as a product of the human mind and analyzes the language of "pure mathematics" from various advanced-level sources. Through analysis of the foundational texts of mathematics, it is demonstrated that math is a complex literary creation, containing objects, actors, actions, projection, prediction, planning, explanation, evaluation, roles, image schemas, metonymy, conceptual blending, and, of course, (natural) language. The book follows the narrative of mathematics in a typical order of presentation for a standard university-level algebra course, beginning with analysis of set theory and mappings and continuing along a path of increasing complexity. At each stage, primary concepts, axioms, definitions, and proofs will be examined in an effort to unfold the tell-tale traces of the basic human cognitive patterns of story and conceptual blending. This book will be of interest to mathematicians, teachers of mathematics, cognitive scientists, cognitive linguists, and anyone interested in the engaging question of how mathematics works and why it works so well.

Author : David C. Geary
Publisher : Academic Press
ISBN 13 : 0128133686
Total Pages : 360 pages
Book Rating : 4.82/5 ( download)

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Download or read book Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts written by David C. Geary and published by Academic Press. This book was released on 2017-02-08 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : George Polya
Publisher : Courier Corporation
ISBN 13 : 048631832X
Total Pages : 80 pages
Book Rating : 4.25/5 ( download)

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Download or read book The Stanford Mathematics Problem Book written by George Polya and published by Courier Corporation. This book was released on 2013-04-09 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.