- Series: Dover Books on Mathematics
- Paperback: 240 pages
- Publisher: Dover Publications; Reprint edition (January 9, 1995)
- Language: English
- ISBN-10: 0486281337
- ISBN-13: 978-0486281339
- Product Dimensions: 5.4 x 0.5 x 8.4 inches
- Shipping Weight: 7.2 ounces (View shipping rates and policies)
- Average Customer Review: 4.3 out of 5 stars See all reviews (10 customer reviews)
- Amazon Best Sellers Rank: #820,009 in Books (See Top 100 in Books)
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An Adventurer's Guide to Number Theory (Dover Books on Mathematics) Reprint Edition
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Top Customer Reviews
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.
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.
In his introduction, Friedberg, a physicist, distinguishes between the common and scientific meanings of the word theory. He also discusses the difference between a scientific theory and a mathematical theorem.
Friedberg uses sequences to introduce proofs by mathematical induction. Friedberg shows how proofs of mathematical induction work and discusses why they are valid.Read more ›
This book is great in that I managed to become "number-theory literate" in a matter of days. Historical tidbits not only make the book flow smoothly, but make it fun to read. The actual mathematical content that is covered nails down the fundamental concepts of number theory pretty well. For clarity, the author is generous with examples.
My only complaint is that the writing, while clear and conversational, is almost too conversational. In the first part of the book, you have to question the author's mathematical background when he makes an embarassing claim and corrects himself in a footnote. Granted, we're all human, but this is a book for goodness sake, you can take your words back! Also, the examples occasionally skip steps, forcing you to stare at the problem longer if it's not clear to you what happened. This isn't always a bad thing, I suppose, but it can be distracting. Still, the book serves it's purpose well and is a good primer for anyone who at least understands high school algebra.
Most Recent Customer Reviews
This book really helped explain number theory in user friendly language. I've had number theory textbooks and they were terrible. This book was much better.Published on October 26, 2013 by Steven J. Payne
You must have a medium understanding of mathematics and algebra.Published on August 24, 2001 by Olinto Rodriguez
A lot of us know that you can't double the square. You can't find two square whole numbers, one of which is twice the other. This, of course, is an ancient Greek problem. Read morePublished on June 25, 2001