The Enjoyment of Math by Hans Rademacher (PDF)

Description

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.

User’s Reviews

Editorial Reviews: 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 From the Back Cover 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. 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. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a gem of a book. It was stolen from me years ago. I am glad to have it back. It arrived undamaged and quickly. Thanks.

⭐It is a classic by two great middle 20th century mathematicians.

⭐What a difference to the way math is taught in high schools!!! Practically a different subject!

⭐I really enjoyed this book and would recommend it to high school students with an interest in studying math in college. Typically, high school students are not exposed to well written proofs. This book would remedy the situation.

⭐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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