Minimal prerequisites make this text ideal for a first course in number theory. Written in a lively, engaging style by the author of popular mathematics books, it features nearly 1,000 imaginative exercises and problems. Solutions to many of the problems are included, and a teacher's guide is available. 1978 edition.
Elementary Number Theory
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Most helpful customer reviews
0 of 1 people found the following review helpful
Format:Hardcover
Some of the problems in this book are unlike any I've seen before, like Dudley gives a bunch of equations, you're supposed to see the pattern & he writes "guess & prove a theorem". Dudley's writing style is very informal & I thought it was a nice change from other books. Like the other person said, the book is clearly written and there are lots of examples. I had this book for a 3rd-year course, but I think a 1st or 2nd-year student could handle this book.
0 of 1 people found the following review helpful
By Yuan J. Son
Format:Hardcover
This is the excellent book if you want to study the
number theory but don't know where to start.
The explanations are sound and CLEAR. A lot of problems
are actually solved by an author and many answers to
the exercises are given at the end of book.
number theory but don't know where to start.
The explanations are sound and CLEAR. A lot of problems
are actually solved by an author and many answers to
the exercises are given at the end of book.
Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
4.6 out of 5 stars
11 reviews
33 of 33 people found the following review helpful
5.0 out of 5 stars
It is a book that has aged very well
Aug 10 2005
By Charles Ashbacher
- Published on Amazon.com
Format:Hardcover
Published in 1978, this book suffers very little from the illness of being dated. Of course, Fermat's last theorem has been proven and computers have grown much more powerful. However, those advances have little affect on the value of the book. Done well, basic number theory is timeless, and Dudley does it very well. The explanations of the fundamentals are sound and solved exercises are scattered throughout. Solutions to most of the odd numbered problems at the end of the chapters are also included.
The coverage is fairly typical, so the book can still be used as the text for a course in beginning number theory. Chapter 23 contains a set of 267 additional problems, a set for each of the other chapters in the book. Solutions to most of the odd problems in this set are also included. I commend Dudley for including so many solutions; I have little time for authors of books who do not provide solutions to at least some of the exercises. If I ever teach a course in basic number theory, this is the book that I would use.
The coverage is fairly typical, so the book can still be used as the text for a course in beginning number theory. Chapter 23 contains a set of 267 additional problems, a set for each of the other chapters in the book. Solutions to most of the odd problems in this set are also included. I commend Dudley for including so many solutions; I have little time for authors of books who do not provide solutions to at least some of the exercises. If I ever teach a course in basic number theory, this is the book that I would use.
30 of 32 people found the following review helpful
5.0 out of 5 stars
A lot of examples and proofs! Perfect book for a beginner.
Feb 13 2003
By Yuan J. Son
- Published on Amazon.com
Format:Hardcover
This is the excellent book if you want to study the
number theory but don't know where to start.
The explanations are sound and CLEAR. A lot of problems
are actually solved by an author and many answers to
the exercises are given at the end of book.
number theory but don't know where to start.
The explanations are sound and CLEAR. A lot of problems
are actually solved by an author and many answers to
the exercises are given at the end of book.
19 of 20 people found the following review helpful
5.0 out of 5 stars
great problems
April 11 2004
By another reader
- Published on Amazon.com
Format:Hardcover
Some of the problems in this book are unlike any I've seen before, like Dudley gives a bunch of equations, you're supposed to see the pattern & he writes "guess & prove a theorem". Dudley's writing style is very informal & I thought it was a nice change from other books. Like the other person said, the book is clearly written and there are lots of examples. I had this book for a 3rd-year course, but I think a 1st or 2nd-year student could handle this book.
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Go to Amazon.com to see all 11 reviews
4.6 out of 5 stars
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