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What is so special about the number 30? How many colors are needed to color a map? Do the prime numbers go on forever? Are there more whole numbers than even numbers? These and other mathematical puzzles are explored in this delightful book by two eminent mathematicians. Requiring no more background than plane geometry and elementary algebra, this book leads the reader into some of the most fundamental ideas of mathematics, the ideas that make the subject exciting and interesting. Explaining clearly how each problem has arisen and, in some cases, resolved, Hans Rademacher and Otto Toeplitz's deep curiosity for the subject and their outstanding pedagogical talents shine through. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
- Sales Rank: #2338101 in Books
- Published on: 2015-12-08
- Released on: 2015-12-08
- Original language: English
- Number of items: 1
- Dimensions: 8.00" h x .49" w x 5.00" l, .0 pounds
- Binding: Paperback
- 214 pages
Review
"A thoroughly enjoyable sampler of fascinating mathematical problems and their solutions."--Science
"Each chapter is a gem of mathematical exposition.... [The book] will not only stretch the imagination of the amateur, but it will also give pleasure to the sophisticated mathematician."--American Mathematical Monthly
Language Notes
Text: English (translation)
Original Language: German
About the Author
Hans Rademacher was an Affiliate of Rockefeller University and Professor Emeritus of Mathematics in the University of Pennsylvania before his death in 1969. Otto Toeplitz was Professor of Mathematics in Kiel and Bonn.
Most helpful customer reviews
13 of 13 people found the following review helpful.
The Real Beauty and Exhiliration of Math
By A Customer
This is a superb book, and the best way to first sample the delights of math for its own sake. Don't let the subtitle "Selections from Mathematics for the Amateur" turn you off. True, the math involved is elementary, not going beyond high school algebra and geometry. But the material won't be found in most textbooks, having been chosen with elegance and beauty, rather than utility, in mind (which isn't to say that it doesn't have its important uses). Even the professional mathematician who has already seen most of the contents will profit from studying the book's exemplary treatment of its topics. The authors are some of the best math expositors who have ever lived. Each idea in the book is developed admirably, and strikes the perfect balance between conciseness and lucidity. You probably can't do better in choosing an introduction to prime and perfect numbers, the four-color problem, regular polyhedra, Pythagorean triples, pedal triangles, periodic decimal fractions, Waring's problem, the number 30 (sic!), and many other fascinating intellectual tibdits.
At Dover's low price, this book is a great buy. Get it! If you have more mathematical knowledge, then I also recommend "Proofs from the Book" by Aigner, et al., which is written for mathematicians in a similar style.
12 of 12 people found the following review helpful.
An excellent collection of problems at the elementary level
By Arif Zaman
Written by two top-notch mathematicians, requiring the mathematics that a high school student can do, this book takes you on a journey that is easy to follow and yet shows the power of mathematics. It is an excellent book for high school enrichement or early undergraduates.
Even if you are a mathematician you will be suprized at many of the results and enjoy trying to solve some of the problems. Many of the problems are quite hard. Even though some of the problems are the standard ones, many are off the beaten track. No matter what your level of expertise, I am sure you will enjoy this book.
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