Science/Engineering Number Theory: George E Andrews (0721612555)

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Number Theory: George E Andrews

Written by an distinguished mathematician and teacher, this undergraduate text uses a combinatorial approach to accommodate both math majors and liberal arts students. In addition to covering the basics of number theory, it offers an outstanding introduction to partitions, plus chapters on multiplicativity-divisibility, quadratic congruences, additivity, and more.

Review:

Despite the deceptively small size of the text compared to many of its type, be sure to carry at least twice as many sheets of paper to fully get all you can out of it. George Andrew's pedagogical style of using combinatorics (basic gambling probability) to explain advanced concepts in number theory is executed brilliantly, and leaves even first-year undergraduates like me without a doubt in the world.

It is essential to do the problems in this book! Do not skip them thinking writing down the definitions and theorems will be enough-- some of the problems will kill you if you go in only knowing the written theorems, without any proper thought into the subject. Like any mathematical subject, it requires rigorous thinking and hours of reading before even considering going on to more advanced topics, like algebraic number theory, abstract algebra, or residue theory.

Breaking down the book into parts, I find it slightly disconcerting that despite the small nature of the book, the concept of quadratic congruences are only introduced in a less-than-introductory fashion, in comparison to other number theory books. It may be true that the author's main research was based off partition theory (the largest section in the book), but quadratic congruences have large applied mathematical influences, and should be considered to be read on, after the book as been finished.

Despite that, this text is an incredible foray into elementary number theory, and is a recommended buy for all those interested in the mathematical world.

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	Science/Engineering Number Theory: Sailing on the Sea of Number Theory Proceedings of the 4th China-Japan Seminar, Weihai, China 30 August - 3 Sept S. Kanemitsu, J-y Liu “Number Theory: Sailing on the Sea of Number Theory Proceedings of the 4th China-Japan Seminar, Weihai, China 30 August - 3 September 2006" World Scientific Publishing Company \| 2007-07-05 \| ISBN: 9812708103 \| 245 p ...
	Business/Investing Elementary Number Theory, Group Theory and Ramanujan Graphs Giuliana Davidoff, Peter Sarnak, Alain Valette "Elementary Number Theory, Group Theory and Ramanujan Graphs" Cambridge University Press \| 2003-01-27 \| ISBN: 0521824265 \| 154 pages \| PDF \| 1,1 MB This text is a self-contained study of ex ...
	Science/Engineering Theory of Partitions (Encyclopedia of mathematics and its applications ; v. 2 : Section, Number theory): George E. Andrews Theory of Partitions (Encyclopedia of mathematics and its applications ; v. 2 : Section, Number theory): George E. Andrews Longman Higher Education \| ISBN: 0201135019 \| 1977-05-05 \| djvu (ocr) \| 267 pages \| 1.53 Mb This book develops the t ...
	Number Theory II: Algebraic Number Theory A. N. Parshin, I. R. Shafarevich, "Number Theory II: Algebraic Number Theory" Springer \| 1992 \| ISBN: 0387533869 \| 262 pages \| PDF \| 14,4 MB Modern number theory, according to Hecke, dates from Gauss's quadratic reciprocity law. The var ...
	Technical Theory of Partitions (Encyclopedia of mathematics and its applications ; v. 2 : Section, Number theory) ISBN: 0201135019 Publisher: Longman Higher Education Author: George E. AndrewsDescription:This book develops the theory of partitions. Simply put, the partitions of a number are the ways of writing that number as sums of positive integers. ...
	Mathematics Arithmetic Geometry And Number Theory (Number Theory and Its Applications) Author: Publisher: World Scientific Publishing Company (2006)Binding: Hardcover, 412 pagespricer: $72.00ISBN-10: 981256814XeditorialreviewsMathematics is very much a part of our culture; and this invaluable collection serves the purpose of ...

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