Winning Solutions

Author: Edward Lozansky
Publisher: Springer Science & Business Media
ISBN: 1461240344
Format: PDF, ePub, Docs
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This book provides the mathematical tools and problem-solving experience needed to successfully compete in high-level problem solving competitions. Each section presents important background information and then provides a variety of worked examples and exercises to help bridge the gap between what the reader may already know and what is required for high-level competitions. Answers or sketches of the solutions are given for all exercises.

The Stanford Mathematics Problem Book

Author: George Polya
Publisher: Courier Corporation
ISBN: 048631832X
Format: PDF, ePub, Mobi
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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.

For the Rising Math Olympians

Author: Jesse Doan
Publisher: Createspace Independent Publishing Platform
ISBN: 9781536991079
Format: PDF, Mobi
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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.

Mathematical Olympiad Challenges

Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 9780817646110
Format: PDF
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Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory Historical insights and asides are presented to stimulate further inquiry Emphasis is on creative solutions to open-ended problems Many examples, problems and solutions, with a user-friendly and accessible style Enhanced motivatio References

The Humongous Book of SAT Math Problems

Author: W. Michael Kelley
Publisher: Penguin
ISBN: 1615643745
Format: PDF, Mobi
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The Humongous Books are typically 464 pages and contain 650 to 1,000 completed problems. They are designed to look like textbooks with problems and answers that have had handwritten notes added by a mentor, peer, or previous student who clarified the process, formula, and steps that went into solving the problem. The Humongous Book of SAT Math Problems takes a typical SAT study guide of solved math problems and provides easy-to-follow margin notes that add missing steps and simplify the solutions, thereby preparing students to solve all types of problems that appear in both levels of the SAT math exam.

The Nuts and Bolts of Proofs

Author: Antonella Cupillari
Publisher: Academic Press
ISBN: 0123822181
Format: PDF, ePub, Mobi
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The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work. It offers techniques for both reading and writing proofs. The second chapter of the book discusses the techniques in proving if/then statements by contrapositive and proofing by contradiction. It also includes the negation statement, and/or. It examines various theorems, such as the if and only-if, or equivalence theorems, the existence theorems, and the uniqueness theorems. In addition, use of counter examples, mathematical induction, composite statements including multiple hypothesis and multiple conclusions, and equality of numbers are covered in this chapter. The book also provides mathematical topics for practicing proof techniques. Included here are the Cartesian products, indexed families, functions, and relations. The last chapter of the book provides review exercises on various topics. Undergraduate students in engineering and physical science will find this book invaluable. Jumps right in with the needed vocabulary—gets students thinking like mathematicians from the beginning Offers a large variety of examples and problems with solutions for students to work through on their own Includes a collection of exercises without solutions to help instructors prepare assignments Contains an extensive list of basic mathematical definitions and concepts needed in abstract mathematics

The Humongous Book of Geometry Problems

Author: W. Michael Kelley
Publisher: Penguin
ISBN: 1615646981
Format: PDF, ePub, Docs
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An ingenious problem-solving solution for befuddled math students. A bestselling math book author takes what appears to be a typical geometry workbook, full of solved problems, and makes notes in the margins adding missing steps and simplifying concepts so that otherwise baffling solutions are made perfectly clear. By learning how to interpret and solve problems as they are presented in courses, students become fully prepared to solve any obscure problem. No more solving by trial and error! - Includes 1000 problems and solutions - Annotations throughout the text clarify each problem and fill in missing steps needed to reach the solution, making this book like no other geometry workbook on the market - The previous two books in the series on calculus and algebra sell very well

Solving Mathematical Problems

Author: Terence Tao
Publisher: OUP Oxford
ISBN: 0199205612
Format: PDF, ePub
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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 of14 years and above in pure mathematics.

102 Combinatorial Problems

Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817682228
Format: PDF
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"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.

In Pursuit of the Traveling Salesman

Author: William Cook
Publisher: Princeton University Press
ISBN: 0691152705
Format: PDF, ePub, Mobi
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Covers the history, applications, theory, and computation of the traveling salesman problem right up to state-of-the-art solution machinery.