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Elementary Number Theory (Springer Undergraduate Mathematics) (Springer Undergraduate Mathematics)

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Elementary Number Theory (Springer Undergraduate Mathematics) (Springer Undergraduate Mathematics)
by: Gareth A. Jones, J.Mary Jones

 : Elementary Number Theory (Springer Undergraduate Mathematics) (Springer Undergraduate Mathematics)

List Price: £19.95
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Binding: Paperback
Dewey Decimal Number: 512.7
EAN: 9783540761976
Edition: New title
ISBN: 3540761977
Label: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Manufacturer: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Number Of Items: 1
Number Of Pages: 200
Publication Date: July 31, 1998
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Studio: Springer-Verlag Berlin and Heidelberg GmbH & Co. K




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Customer Reviews
Average Rating:  out of 5 stars

Rating: 5 out of 5 stars - Superb introduction to number theory
This book is one I would have liked to have read when I was an undergraduate. It is quite the best mix of 'old style' and 'new style' number theory that I have ever seen in a book. Compared to, say, Hardy and Wright's classic book it is much more accessible, and uses terminology and techniques that are now commonplace to modern (under)graduate readers to both simplify and demystify the subject. Then again, it covers less ground than H. and W., but as a starting point it succeeds admirably.

I came to this book just as I was myself trying to gather together everything I knew (or could redisover) about the Phi groups (the groups of units of the rings Z_n); this book did it all for me; and mostly in a way that delighted the mind. I was reluctant to read it (I prefer to try myself before 'cheating') but when I did I found all that I needed there: and authors sympathetic to my own viewpoint. What a delightful feeling of coming home.



Rating: 5 out of 5 stars - An excellent introduction to number theory
This is an excellent textbook. It is very clear and self-contained, making it possible to work through it without the need to refer elsewhere. I found that it was pitched at just the right level, challenging but not overwhelming, and a good mix of exercises, all with full solutions. The structure is very well thought out, so that it is always clear where arguments are heading. Probably the best maths textbook I've ever read; other authors please take note!



Rating: 5 out of 5 stars - A smooth introduction to number theory
This is a nice little book (290 pages), which can be used as course litterature for an introductory course in number theory or a by-side reading for somebody taking a first course. It's exposition is so pedagogical and clear that I could study the book from the beginning to the end on my own without help. This is pretty rare for a mathematical book. It covers not only the basic subjects likes divisibility, primes and congruences but more advanced subjects like Euler's functions, quadratic residues and Riemann Zeta function as well. There is even a final chapter on Fermat's Last Theorem, which is quite accessible. I would not hesitate to recommend this book to anybody starting to study number theory. Finally it contains complete solutions to all exercises.



Rating: 5 out of 5 stars - A smooth introduction to number theory
This is a nice little book (290 pages), which can be used as course litterature for an introductory course in number theory or a by-side reading for somebody taking a first course. It's exposition is so pedagogical and clear that I could study the book from the beginning to the end on my own without help. This is pretty rare for a mathematical book. It covers not only the basic subjects likes divisibility, primes and congruences but more advanced subjects like Euler's functions, quadratic residues, Riemann zeta function as well. there is even a final chapter on Fermat's Last Theorem, which is quite accessible. I would not hesitate to recommend this book to anybody starting to study number theory. Finally it contains complete solutions to all exercises.




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