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Rating: Summary: Worked for me Review: I must admit, the exposition can get a little hairy at (very few) spots, but the problems are good, and it has served me well as a reference (for certain limited topics). Great introduction.
Rating: Summary: Worked for me Review: I must admit, the exposition can get a little hairy at (very few) spots, but the problems are good, and it has served me well as a reference (for certain limited topics). Great introduction.
Rating: Summary: Fantastic introductory text! Review: I'm a first-year Ph.D. student, taking a graduate-level number theory course, and I still use this book from my undergrad years as a reference. Just about any basic number theory topic you're looking for is in here. I can't recommend it highly enough!
Rating: Summary: Fantastic introductory text! Review: This book is the best introduction to number theory that I have found. I only have single maths A Level, but found this book extremely easy to get into. It starts out with gcd lcm stuff, then introduces modular arithmetic and chinese remainder theorem; it does some other things as well (I forget), and then goes on to fermat's little theorem and wilson's theorem...then does lots of other things like 'arithmetic functions' and continued fractions, quadratic residues...which I haven't got to yet. Certainly, it doesn't look as though it's going t get any more difficult in this book, and the excersises are realistic (if a little too simple) Anyone who cannot work through this book should not be studying maths. The book surely covers most first year degree courses. I should also say that there are about 14 chpters in the book, even though I have only described the first 7 or so; the book also gives a history of maths, with short passages about famous mathmos like Gauss, Euclid, diaphantus. About 300 pages in total, loads of examples, plenty of spaces for rough working (big margins). What more can I say? Buy it.
Rating: Summary: Excellent Review: This book is the best introduction to number theory that I have found. I only have single maths A Level, but found this book extremely easy to get into. It starts out with gcd lcm stuff, then introduces modular arithmetic and chinese remainder theorem; it does some other things as well (I forget), and then goes on to fermat's little theorem and wilson's theorem...then does lots of other things like 'arithmetic functions' and continued fractions, quadratic residues...which I haven't got to yet. Certainly, it doesn't look as though it's going t get any more difficult in this book, and the excersises are realistic (if a little too simple) Anyone who cannot work through this book should not be studying maths. The book surely covers most first year degree courses. I should also say that there are about 14 chpters in the book, even though I have only described the first 7 or so; the book also gives a history of maths, with short passages about famous mathmos like Gauss, Euclid, diaphantus. About 300 pages in total, loads of examples, plenty of spaces for rough working (big margins). What more can I say? Buy it.
Rating: Summary: Try another book Review: This is an excellent textbook for an introductory course in Number Theory. I have used it a number of times for my own courses and I believe it is the most popular book for elementary Number theory courses in the United States. It covers all the standard topics in Number Theory including congruences, properties of prime numbers and their distribution, the theorems of Fermat and Wilson, quadratic residues, quadratic reciprocity, perfect numbers, pythagorian triples, representation of integers as sums of squares and a chapter on continued fractions and Pell's equation. The book includes historical notes, useful tables and a great number of interesting exercises. I recommend this book for begginers in Number Theory but I believe that even the advanced reader may find something interesting.
Rating: Summary: Adequate introductory text at an outrageous price. Review: This text has served me through my first course in number theory. It follows the traditional "definition - theorem - proof - example - exercises" format throughout it's sections. For some flavor, it even throws in a little history behind the mathematics it presents. This book, however, IS NOT worth the ridiculous price that McGraw Hill has retailers charging; nothing in it is that spectacular (well, not spectacular at all, really).
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