An Adventurer's Guide to Number Theory

An Adventurer's Guide to Number Theory

by Richard Friedberg
2.5 2

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Adventurer's Guide to Number Theory 2.5 out of 5 based on 0 ratings. 2 reviews.
Guest More than 1 year ago
Friedberg's text is a flawed introduction to number theory. The material is introduced through problems that motivate the results that Friedberg discusses. These results include Euclid's theorem that there are infinitely many prime numbers, the use of the sieve of Eratosthenes to find prime numbers less than the square root of a positive integer n, the Fundamental Theorem of Arithmetic, perfect and amicable numbers, Pythagorean triples, modular arithmetic, factoring numbers of the form x^2 + ny^2, and the Law of Quadratic Reciprocity. Friedberg, who writes in a conversational tone, ably links these topics together and places them in historical perspective. However, there are better introductions to the subject. This text has no formal exercises, so you do not have an opportunity to reinforce what you are learning. It is also a poor reference because definitions, theorems, and proofs are stated within paragraphs, the whimsical chapter titles do not convey what topics are covered, and there is no subject index to help you find the definitions and theorems that are buried within the paragraphs. What I found most disturbing was his assertion is that 1 is a prime number, which would eliminate unique factorization from the Fundamental Theorem of Arithmetic.
gnmaier More than 1 year ago
Not a text book on the subject but an enjoyable read for the numberphiles out there. Contains some errors, but I am glad I bought the book and it has encouraged me to read more widely on this topic.