Elementary Number Theory,7th Edition

Elementary Number Theory (Paperback)
by: David Burton
ISBN-10: 1259025764
ISBN-13: 9781259025761
Edition 版本:‏ 7th
Released: 2012
Pages: 436
Elementary Number Theory,Seventh Edition,is written for the one-semester undergraduate number theory course taken by math majors,secondary education majors,and computer science students. This contemporary text provides a simple account of classical number theory,set against a historical background that shows the subject’s evolution from antiquity to recent research. Written in David Burton’s engaging style,Elementary Number Theory reveals the attraction that has drawn leading mathematicians and amateurs alike to number theory over the course of history.
ABOUT THE AUTHOR
PREFACE
CHAPTER 1. PRELIMINARIES
CHAPTER 2 DIVISIBILITY THEORY IN THE INTEGERS
CHAPTER 3 PRIMES AND THEIR DISTRIBUTION
CHAPTER 4 THE THEORY OF CONGRUENCES
CHAPTER 5 FERMAT’S THEOREM
CHAPTER 6 NUMBER-THEORETIC FUNCTIONS
CHAPTER7 EULER’S GENERALIZATION OF FERMAT’S
THEOREM
CHAPTER 8 PRIMITIVE ROOTS AND INDICES
CHAPTER 9 THE QUADRATIC RECIPROCITY LAW
CHAPTER 10 INTRODUCTION TO CRYPTOGRAPHY
CHAPTER 11 NUMBERS OF SPECIAL FORM
CHAPTER 12 CERTAIN NONLINEAR DIOPHANTINE
EQUATIONS
CHAPTER 13 REPRESENTATION OF INTEGERSAS SUMS
OF SQUARES
CHAPTER 14 FIBONACCI NUMBERS
CHAPTER 15 CONTINUED FRACTIONS
CHAPTER 16 SOME MODERN DEVELOPMENTS
MISCELLANEOUS PROBLEMS
APPENDIXES
INDEX
INDEX OF SYMBOLS