The USSR Olympiad Problem Book

The USSR Olympiad Problem Book
Author: D. O. Shklarsky,N. N. Chentzov,I. M. Yaglom
Publsiher: Courier Corporation
Total Pages: 480
Release: 2013-04-15
Genre: Mathematics
ISBN: 9780486319865

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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.

Selected Problems and Theorems in Elementary Mathematics

Selected Problems and Theorems in Elementary Mathematics
Author: D. O. Shklyarsky,N. N. Chentsov,I. M. Yaglom
Publsiher: Unknown
Total Pages: 427
Release: 1979
Genre: Algebra
ISBN: UOM:39076006743459

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A First Step to Mathematical Olympiad Problems

A First Step to Mathematical Olympiad Problems
Author: Derek Holton
Publsiher: World Scientific Publishing Company
Total Pages: 292
Release: 2009-07-30
Genre: Mathematics
ISBN: 9789814365253

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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.

The Stanford Mathematics Problem Book

The Stanford Mathematics Problem Book
Author: George Polya,Jeremy Kilpatrick
Publsiher: Courier Corporation
Total Pages: 80
Release: 2013-04-09
Genre: Mathematics
ISBN: 9780486318325

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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.

Introduction to Math Olympiad Problems

Introduction to Math Olympiad Problems
Author: Michael A. Radin
Publsiher: CRC Press
Total Pages: 160
Release: 2021-06-24
Genre: Mathematics
ISBN: 9781000396669

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Introduction to Math Olympiad Problems aims to introduce high school students to all the necessary topics that frequently emerge in international Math Olympiad competitions. In addition to introducing the topics, the book will also provide several repetitive-type guided problems to help develop vital techniques in solving problems correctly and efficiently. The techniques employed in the book will help prepare students for the topics they will typically face in an Olympiad-style event, but also for future college mathematics courses in Discrete Mathematics, Graph Theory, Differential Equations, Number Theory and Abstract Algebra. Features: Numerous problems designed to embed good practice in readers, and build underlying reasoning, analysis and problem-solving skills Suitable for advanced high school students preparing for Math Olympiad competitions

The Green Book of Mathematical Problems

The Green Book of Mathematical Problems
Author: Kenneth Hardy,Kenneth S. Williams
Publsiher: Courier Corporation
Total Pages: 184
Release: 2013-11-26
Genre: Mathematics
ISBN: 9780486169453

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Rich selection of 100 practice problems — with hints and solutions — for students preparing for the William Lowell Putnam and other undergraduate-level mathematical competitions. Features real numbers, differential equations, integrals, polynomials, sets, other topics. Hours of stimulating challenge for math buffs at varying degrees of proficiency. References.

100 Great Problems of Elementary Mathematics

100 Great Problems of Elementary Mathematics
Author: Heinrich Dörrie
Publsiher: Courier Corporation
Total Pages: 416
Release: 2013-04-09
Genre: Mathematics
ISBN: 9780486318479

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Problems that beset Archimedes, Newton, Euler, Cauchy, Gauss, Monge, Steiner, and other great mathematical minds. Features squaring the circle, pi, and similar problems. No advanced math is required. Includes 100 problems with proofs.

Putnam and Beyond

Putnam and Beyond
Author: Răzvan Gelca,Titu Andreescu
Publsiher: Springer
Total Pages: 850
Release: 2017-09-19
Genre: Mathematics
ISBN: 9783319589886

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This book 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, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. 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. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.

The IMO Compendium

The IMO Compendium
Author: Dušan Djukić,Vladimir Janković,Ivan Matić,Nikola Petrović
Publsiher: Springer Science & Business Media
Total Pages: 809
Release: 2011-05-05
Genre: Mathematics
ISBN: 9781441998545

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"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.

Challenging Problems in Algebra

Challenging Problems in Algebra
Author: Alfred S. Posamentier,Charles T. Salkind
Publsiher: Courier Corporation
Total Pages: 288
Release: 2012-05-04
Genre: Mathematics
ISBN: 9780486131542

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Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.

Challenging Mathematical Problems with Elementary Solutions

Challenging Mathematical Problems with Elementary Solutions
Author: ?. ? ?????,Isaak Moiseevich I?Aglom,Basil Gordon
Publsiher: Courier Corporation
Total Pages: 214
Release: 1987
Genre: Mathematics
ISBN: 9780486655376

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Volume II of a two-part series, this book features 74 problems from various branches of mathematics. Topics include points and lines, topology, convex polygons, theory of primes, and other subjects. Complete solutions.

Problem Solving Through Problems

Problem Solving Through Problems
Author: Loren C Larson
Publsiher: Unknown
Total Pages: 348
Release: 1985-07-17
Genre: Electronic Book
ISBN: 146125499X

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Problems in Probability Theory Mathematical Statistics and Theory of Random Functions

Problems in Probability Theory  Mathematical Statistics and Theory of Random Functions
Author: A. A. Sveshnikov
Publsiher: Courier Corporation
Total Pages: 512
Release: 2012-04-30
Genre: Mathematics
ISBN: 9780486137568

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Approximately 1,000 problems — with answers and solutions included at the back of the book — illustrate such topics as random events, random variables, limit theorems, Markov processes, and much more.

A Second Step to Mathematical Olympiad Problems

A Second Step to Mathematical Olympiad Problems
Author: Derek Allan Holton
Publsiher: World Scientific
Total Pages: 299
Release: 2011
Genre: Mathematics
ISBN: 9789814327879

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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.

One Hundred Problems in Elementary Mathematics

One Hundred Problems in Elementary Mathematics
Author: Hugo Steinhaus
Publsiher: Courier Dover Publications
Total Pages: 192
Release: 2016-04-10
Genre: Mathematics
ISBN: 9780486811802

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Both a challenge to mathematically inclined readers and a useful supplementary text for high school and college courses, One Hundred Problems in Elementary Mathematics presents an instructive, stimulating collection of problems. Many problems address such matters as numbers, equations, inequalities, points, polygons, circles, ellipses, space, polyhedra, and spheres. An equal number deal with more amusing or more practical subjects, such as a picnic ham, blood groups, rooks on a chessboard, and the doings of the ingenious Dr. Abracadabrus. Are the problems in this book really elementary? Perhaps not in the lay reader’s sense, for anyone who desires to solve these problems must know a fair amount of mathematics, up to calculus. Nevertheless, Professor Steinhaus has given complete, detailed solutions to every one of his 100 problems, and anyone who works through the solutions will painlessly learn an astonishing amount of mathematics. A final chapter provides a true test for the most proficient readers: 13 additional unsolved problems, including some for which the author himself does not know the solutions.