ENGLISH

Elements of Number Theory

By John Stillwell

Book information

Publisher
Springer New York
Year
2003
ISBN
1441930663, 9781441930668, 978-0-387-21735-2, 0387217355, 2709-65-319-2
Language
english
Format
DJVU
Filesize
2 MB (1651415 bytes)
Series
Undergraduate Texts in Mathematics
Edition
Softcover reprint of hardcover 1st ed. 2003
Pages
256\266
Library
kolxoz
Time added
2017-10-15 16:00:00

Description

Solutions of equations in integers is the central problem of number theory and is the focus of this book. The amount of material is suitable for a one-semester course. The author has tried to avoid the ad hoc proofs in favor of unifying ideas that work in many situations. There are exercises at the end of almost every section, so that each new idea or proof receives immediate reinforcement Front Matter....Pages i-xii Natural numbers and integers....Pages 1-21 The Euclidean algorithm....Pages 22-42 Congruence arithmetic....Pages 43-65 The RSA cryptosystem....Pages 66-75 The Pell equation....Pages 76-100 The Gaussian integers....Pages 101-116 Quadratic integers....Pages 117-137 The four square theorem....Pages 138-157 Quadratic reciprocity....Pages 158-180 Rings....Pages 181-195 Ideals....Pages 196-220 Prime ideals....Pages 221-238 Back Matter....Pages 239-254

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