This witty introduction to number theory deals with the properties of numbers and numbers as abstract concepts. Topics include primes, divisibility, quadratic forms, related theorems, explored in imaginative chapters such as "Seven jogged my elbow," "On a clear day you can count forever," and "When the clock strikes thirteen."
An Adventurer's Guide to Number Theory
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Most Helpful Customer Reviews
7 of 7 people found the following review helpful
By A Customer
Format:Paperback
The author's enthusiasm shines through as he explains primes, perfect numbers, quadratic forms, and more. The explanations are clear: not too easy, but not too hard; Mr. Friedberg does a remarkable job of gauging the reader's level (at least MY level!).
I didn't realize number theory was so much fun until I started reading this book.
Note: I noticed a small typo on p.95: the equation to generate Pythagorean triplets is missing a 'square' on the left hand side.
3 of 3 people found the following review helpful
By A Customer
Format:Paperback
This is an engaging book which manages to retain interest despite what you'd expect to be a very dry subject matter. It's ideal for extending able 15 to 20 year old maths students.
Most Helpful Customer Reviews on Amazon.com (beta)
Amazon.com:
4.1 out of 5 stars
8 reviews
13 of 13 people found the following review helpful
5.0 out of 5 stars
What a carefully written exploration!
4 Sep 2002
By Jeffrey L. Cooper
- Published on Amazon.com
Format:Paperback|Amazon Verified Purchase
I think this book is a masterpiece in mathematical exposition. All you need to know is how to add, subtract, multiply, and divide and maybe a vague memory of algebra. Mr. Friedberg will walk you through a lot of number theory after which (or maybe even during which) you may find a number theory textbook more approachable. If you read carefully you will really internalize what a proof by contradiction is and what an infinite descent is. You'll get a real appreciation for the logic of a proof and you'll see some ingenius tricks used by some great mathematicians ... and you'll understand them!
This book is approachable and doable by anyone with a motivation for what can be understood about numbers. And I can't stress how carefully, thoughtfully, and articulately it is written.
This book is approachable and doable by anyone with a motivation for what can be understood about numbers. And I can't stress how carefully, thoughtfully, and articulately it is written.
18 of 20 people found the following review helpful
5.0 out of 5 stars
An impishly, well-written introduction to number theory.
17 Oct 1998
By A Customer
- Published on Amazon.com
Format:Paperback
The author's enthusiasm shines through as he explains primes, perfect numbers, quadratic forms, and more. The explanations are clear: not too easy, but not too hard; Mr. Friedberg does a remarkable job of gauging the reader's level (at least MY level!).
I didn't realize number theory was so much fun until I started reading this book.
Note: I noticed a small typo on p.95: the equation to generate Pythagorean triplets is missing a 'square' on the left hand side.
11 of 11 people found the following review helpful
3.0 out of 5 stars
Not that adventurous
26 Dec 2000
By D. Taylor
- Published on Amazon.com
Format:Paperback
I felt like I suited up for space travel and got grounded by equipment malfunction. Perhaps I took the title too literally. Since there are so many books on number theory, surely one with such a title should cover the outer reaches. This is nothing but a basic introduction. More is covered in Albert Beiler's "Recreations in the Theory of Numbers" and it's much more adventurous. Still worth 3 stars, and worth owning - but not worth keeping under your pillow.
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4.1 out of 5 stars
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