Transcription of Elementary Number Theory - 2nd Ed.
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Elementary Number Theory - 2nd Ed.
Elementary Number Theory Second Edition V nderwood Dudley DePauw University rn w. H. FREEMAN AND COMPANY New York Section 1 Section 2 Section 3 Section 4 Section 5 Section 6 Section 7 Section 8 Section 9 Section 10 Section 11 Preface vii Integers 1 Contents Unique Factorization 10 Linear Diophantine Equations 20 Congruences 27 Linear Congruences 34 Fermat's and Wilson's Theorems 42 The Divisors of an Integer 50 Perfect Numbers 57. Euler's Theorem and Function 63 Primitive Roots 73 Quadratic Congruences 83 v vi Contents Section 12 Section 13 Section 14 Section 15 Section 16 Section 17 Section 18 Section 19 Section 20 Section 21 Section 22 Section 23 Appendix A Appendix B Appendix C Quadratic Reciprocity 94 Numbers in Other Bases 106 Duodecimals 114 Decimals 119 Pythagorean Triangles 127 Infinite Descent and Fermat's Conjecture 135 Sums of Tw o Squares 141 Sums of Four Squares 149 Xl -Ny::!
no better course in elementary mathematics than number theory. Any ... In this section, and until further notice, lower case italic letters will invariably denote integers. We will take as known and use freely the usual properties of addition, subtraction, multiplication, division; and
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