Selected Problems And Theorems In Elementary Mathematics PDF Download

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The USSR Olympiad Problem Book

The USSR Olympiad Problem Book
Author: D. O. Shklarsky
Publisher: Courier Corporation
Total Pages: 480
Release: 2013-04-15
Genre: Mathematics
ISBN: 0486319865

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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.


Equations and Inequalities

Equations and Inequalities
Author: Jiri Herman
Publisher: Springer Science & Business Media
Total Pages: 353
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461212707

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A look at solving problems in three areas of classical elementary mathematics: equations and systems of equations of various kinds, algebraic inequalities, and elementary number theory, in particular divisibility and diophantine equations. In each topic, brief theoretical discussions are followed by carefully worked out examples of increasing difficulty, and by exercises which range from routine to rather more challenging problems. While it emphasizes some methods that are not usually covered in beginning university courses, the book nevertheless teaches techniques and skills which are useful beyond the specific topics covered here. With approximately 330 examples and 760 exercises.


100 Great Problems of Elementary Mathematics

100 Great Problems of Elementary Mathematics
Author: Heinrich Dörrie
Publisher: Courier Corporation
Total Pages: 416
Release: 2013-04-09
Genre: Mathematics
ISBN: 0486318478

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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.


Problem-Solving Strategies

Problem-Solving Strategies
Author: Arthur Engel
Publisher: Springer Science & Business Media
Total Pages: 404
Release: 2008-01-19
Genre: Mathematics
ISBN: 0387226419

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A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.


Challenging Problems in Algebra

Challenging Problems in Algebra
Author: Alfred S. Posamentier
Publisher: Courier Corporation
Total Pages: 288
Release: 2012-05-04
Genre: Mathematics
ISBN: 0486131548

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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.


Two Millennia of Mathematics

Two Millennia of Mathematics
Author: George M. Phillips
Publisher: Springer Science & Business Media
Total Pages: 236
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461211808

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A collection of inter-connected topics in areas of mathematics which particularly interest the author, ranging over the two millennia from the work of Archimedes to the "Werke" of Gauss. The book is intended for those who love mathematics, including undergraduate students of mathematics, more experienced students and the vast unseen host of amateur mathematicians. It is equally a useful source of material for those who teach mathematics.


Problems and Theorems in Classical Set Theory

Problems and Theorems in Classical Set Theory
Author: Peter Komjath
Publisher: Springer Science & Business Media
Total Pages: 492
Release: 2006-11-22
Genre: Mathematics
ISBN: 0387362193

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This volume contains a variety of problems from classical set theory and represents the first comprehensive collection of such problems. Many of these problems are also related to other fields of mathematics, including algebra, combinatorics, topology and real analysis. Rather than using drill exercises, most problems are challenging and require work, wit, and inspiration. They vary in difficulty, and are organized in such a way that earlier problems help in the solution of later ones. For many of the problems, the authors also trace the history of the problems and then provide proper reference at the end of the solution.


Inequalities

Inequalities
Author: Zdravko Cvetkovski
Publisher: Springer Science & Business Media
Total Pages: 439
Release: 2012-01-06
Genre: Mathematics
ISBN: 3642237924

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This work is about inequalities which play an important role in mathematical Olympiads. It contains 175 solved problems in the form of exercises and, in addition, 310 solved problems. The book also covers the theoretical background of the most important theorems and techniques required for solving inequalities. It is written for all middle and high-school students, as well as for graduate and undergraduate students. School teachers and trainers for mathematical competitions will also gain benefit from this book.