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Clear and detailed in its exposition, this text requires no background in advanced mathematics. It features more than 200 problems and full solutions, plus 100 numerical exercises. Some of these exercises deal with estimation of trigonometric sums and are especially valuable as introductions to more advanced studies. 1949 edition.
Customer Reviews:
Budding mathematicians only!October 25, 2007 J. Bogaarts(Netherlands) 1 out of 1 found this review helpful
This book has two parts: a very elementary introduction to number theory concentrating on congruences presented in a number of chapters. Each chapter ends with a set of straightforward numerical exercises. The second part consists of a set of problems presented at the end of each chapter but having no relation to the content of the chapter. Each problem is provided with a solution or outline of a solution. It is this set of problems that makes the book really interesting. The problems are challenging, in fact many of them appear as theorems in Hardy and Wrights' An Introduction to the Theory of Numbers (Oxford Science Publications).
I bought this book some thirty years ago when I studied mathematics at the university. Working through these problems greatly improved my problem solving abilities. To be able to work through the problems the only prerequisites are arithmetic and some elementary calculus. But be sure to have the right mind set, only for budding mathematicians!