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The Theory of Algebraic Numbers by Harry Pollard (Paperback, 2003)

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Product Information

Detailed proofs and clear-cut explanations provide an excellent introduction to the elementary components of classical algebraic number theory in this concise, well-written volume.The authors, a pair of noted mathematicians, start with a discussion of divisibility and proceed to examine Gaussian primes (their determination and role in Fermat's theorem); polynomials over a field (including the Eisenstein irreducibility criterion); algebraic number fields; bases (finite extensions, conjugates and discriminants, and the cyclotomic field); and algebraic integers and integral bases. After establishing a firm introductory foundation, the text explores the uses of arithmetic in algebraic number fields; the fundamental theorem of ideal theory and its consequences; ideal classes and class numbers; and the Fermat conjecture (concluding with discussions of Pythagorean triples, units in cyclotomic fields, and Kummer's theorem). In addition to a helpful list of symbols and an index, a set of carefully chosen problems appears at the end of each chapter to reinforce mathematics covered. Students and teachers of undergraduate mathematics courses will find this volume a first-rate introduction to algebraic number theory.

Product Identifiers

Publisher
Dover Publications Inc.
ISBN-13
9780486404547
eBay Product ID (ePID)
95158029

Product Key Features

Author
Harry Pollard
Publication Name
The Theory of Algebraic Numbers
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2003
Type
Textbook
Number of Pages
192 Pages

Dimensions

Item Height
216mm
Item Width
137mm

Additional Product Features

Title_Author
Harry Pollard
Series Title
Dover Books on Mathematics
Country/Region of Manufacture
United States

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