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Recreations in the Theory of Numbers

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Цена: 1800р.
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Автор: Beiler, Albert
Название:  Recreations in the Theory of Numbers
Перевод названия: Альберт Бейлер: Воссоздание в теории чисел
ISBN: 9780486210964
Издательство: Dover
ISBN-10: 0486210960
Обложка/Формат: Paperback
Страницы: 368
Вес: 0.408 кг.
Дата издания: 01.02.2000
Серия: Dover recreational math
Язык: English
Издание: 2 rev ed
Размер: 212 x 137 x 20
Читательская аудитория: General (us: trade)
Поставляется из: США

Number theory, the Queen of Mathematics, is an almost purely theoretical science. Yet it can be the source of endlessly intriguing puzzle problems, as this remarkable book demonstrates. This is the first book to deal exclusively with the recreational aspects of the subject and it is certain to be a delightful surprise to all devotees of the mathematical puzzle, from the rawest beginner to the most practiced expert. Almost every aspect of the theory of numbers that could conceivably be of interest to the layman is dealt with, all from the recreational point of view. Readers will become acquainted with divisors, perfect numbers, the ingenious invention of congruences by Gauss, scales of notation, endless decimals, Pythagorean triangles (there is a list of the first 100 with consecutive legs; the 100th has a leg of 77 digits), oddities about squares, methods of factoring, mysteries of prime numbers, Gausss Golden Theorem, polygonal and pyramidal numbers, the Pell Equation, the unsolved Last Theorem of Fermat, and many other aspects of number theory, simply by learning how to work with them in solving hundreds of mathematical puzzle problems. The text is extremely clear and easy to follow, and it bears convincing evidence of the authors deep sense of humor and his outstanding ability to lure the reader through even the most difficult trails by skillfully revealing their fascination. The problems distributed throughout the book are explained in the final chapter and there is also a supplementary chapter containing 100 problems and their solutions, many original. There are over 100 tables.
The appeal of these stimulating puzzles lies in their ready comprehensibility and the fact that only high school math is needed to master the fundamental theory presented by the author. This theory is itself interesting and of use to the more serious math student, but it may be omitted by lay readers without diminishing the books challenge or detracting from the pleasure-giving nuggets it contains.

The Moscow Puzzles: 359 Mathematical Recreations

Автор: Kordemsky, Boris A.
Название: The Moscow Puzzles: 359 Mathematical Recreations
ISBN: 0486270785 ISBN-13(EAN): 9780486270784
Издательство: Dover
Цена: 1800 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This is, quite simply, the best and most popular puzzle book ever published in the Soviet Union. Since its first appearance in 1956 there have been eight editions as well as translations from the original Russian into Ukrainian, Estonian, Lettish, and Lithuanian. Almost a million copies of the Russian version alone have been sold.
Part of the reason for the book's success is its marvelously varied assortment of brainteasers ranging from simple catch riddles to difficult problems (none, however, requiring advanced mathematics). Many of the puzzles will be new to Western readers, while some familiar problems have been clothed in new forms. Often the puzzles are presented in the form of charming stories that provide non-Russian readers with valuable insights into contemporary Russian life and customs. In addition, Martin Gardner, former editor of the Mathematical Games Department, Scientific American, has clarified and simplified the book to make it as easy as possible for an English-reading public to understand and enjoy. He has been careful, moreover, to retain nearly all the freshness, warmth, and humor of the original.
Lavishly illustrated with over 400 clear diagrams and amusing sketches, this inexpensive edition of the first English translation will offer weeks or even months of stimulating entertainment. It belongs in the library of every puzzlist or lover of recreational mathematics.

The Mathematical Recreations of Lewis Carroll: Pillow Problems and a Tangled Tale

Автор: Carroll Lewis
Название: The Mathematical Recreations of Lewis Carroll: Pillow Problems and a Tangled Tale
ISBN: 0486204936 ISBN-13(EAN): 9780486204932
Издательство: Dover
Цена: 1913 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Whimsically and delightfully presented mathematical recreations by the author of Alice in Wonderland are solved by arithmetic, algebra, geometry, trigonometry, differential calculus and transcendental properties. 6 illustrations. Two books bound as one.

Автор: Carroll Lewis
Название: The Mathematical Recreations of Lewis Carroll: Pillow Problems and a Tangled Tale
ISBN: 0486788288 ISBN-13(EAN): 9780486788289
Издательство: Dover
Цена: 3606 р.
Наличие на складе: Невозможна поставка.


Virtually unobtainable for many years, these two books by Lewis Carroll (C. L. Dodgson) have now been reprinted in their entirety for the pleasure of modern enthusiasts of mathematical puzzles. Written by the 19th-century mathematician who gave us Alice in Wonderland and Through the Looking Glass, they contain an unusual combination of wit and mathematical intricacy that will test your mathematical ingenuity and provide hours of stimulating entertainment.
Pillow-Problems is one of the rarest of all Lewis Carroll's works. It contains 72 mathematical posers ranging from those that can be solved by arithmetic, simple algebra, or plane geometry, to those that require more advanced algebra, trigonometry, algebraical geometry, differential calculus, and transcendental probabilities. Both numerical answers and fully worked out solutions are given, each in a separate section so that you can test your methods of problem-solving even after you have looked up the answer to a problem.
In A Tangled Tale, Carroll embodies some of his most perplexing mathematical puzzles in the ten knots or chapters of a delightful story that has all the charm and wit of his better-known works. The Tale was originally printed as a monthly magazine serial, and many readers sent in solutions to the problems that were posed in it. In the long Appendix to The Tale, which contains the answers and solutions to the problems, Carroll uses the answers sent in by readers as the basis for illuminating and entertaining discussions of the many wrong ways in which the problems can be attacked, as well as the right ways.

Problem Solving Through Recreational Mathematics

Автор: Averbach, Bonnie
Название: Problem Solving Through Recreational Mathematics
ISBN: 0486409171 ISBN-13(EAN): 9780486409177
Издательство: Dover
Цена: 2139 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: Historically, many of the most important mathematical concepts arose from problems that were recreational in origin. This book takes advantage of that fact, using recreational mathematics -- problems, puzzles and games -- to teach students how to think critically. Encouraging active participation rather than just observation, the book focuses less on mathematical results than on how these results can be applied to thinking about problems and solving them.
Each chapter contains a diverse array of problems in such areas as logic, number and graph theory, two-player games of strategy, solitaire games and puzzles, and much more. Sample problems (solved in the text) whet readers' appetites and motivate discussions; practice problems solidify their grasp of mathematical ideas; and exercises challenge them, fostering problem-solving ability. Appendixes contain information on basic algebraic techniques and mathematical inductions, and other helpful addenda include hints and solutions, plus answers to selected problems. An extensive appendix on probability is new to this Dover edition. Free solutions manual available for download at the Dover website.

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