Elementary number theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
San Francisco
Freeman
1978
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | A series of books in the mathematical sciences.
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 249 S. |
| ISBN: | 071670076X |
Internformat
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Datensatz im Suchindex
| _version_ | 1804117972661305344 |
|---|---|
| adam_text | Contents
Preface vii
Section 1 Integers 1
Section 2 Unique Factorization 10
Section 3 Linear Diophantine Equations 20
Section 4 Congruences 27
Section 5 Linear Congruences 34
Section 6 Fermat s and Wilson s Theorems 42
Section 7 The Divisors of an Integer 50
Section 8 Perfect Numbers 57
Section 9 Euler s Theorem and Function 63
Section 10 Primitive Roots 73
Section 11 Quadratic Congruences 83
v
vi Contents
Section 12 Quadratic Reciprocity 94
Section 13 Numbers in Other Bases 106
Section 14 Duodecimals 114
Section 15 Decimals 119
Section 16 Pythagorean Triangles 127
Section 17 Infinite Descent and Fermafs Conjecture 135
Section 18 Sums of Two Squares 141
Section 19 Sums of Four Squares 149
Section 20 x2 Ny2 = 1 155
Section 21 Bounds for irix) 163
Section 22 Formulas for Primes 172
Section 23 Additional Problems 182
Appendix A Proof by Induction 205
Appendix B Computer Problems 210
Appendix C Factor Table for Integers Less Than 10,000 217
References 225
Answers to Selected Exercises 227
Answers to Selected Odd Numbered Problems 231
Comments on Selected Odd Numbered Problems 238
Index 247
|
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| indexdate | 2024-07-09T16:02:54Z |
| institution | BVB |
| isbn | 071670076X |
| language | English |
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| series2 | A series of books in the mathematical sciences. |
| spelling | Dudley, Underwood 1937- Verfasser (DE-588)111422043 aut Elementary number theory 2. ed. San Francisco Freeman 1978 IX, 249 S. txt rdacontent n rdamedia nc rdacarrier A series of books in the mathematical sciences. Number theory Zahlentheorie (DE-588)4067277-3 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Zahlentheorie (DE-588)4067277-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002307237&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dudley, Underwood 1937- Elementary number theory Number theory Zahlentheorie (DE-588)4067277-3 gnd |
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| title | Elementary number theory |
| title_auth | Elementary number theory |
| title_exact_search | Elementary number theory |
| title_full | Elementary number theory |
| title_fullStr | Elementary number theory |
| title_full_unstemmed | Elementary number theory |
| title_short | Elementary number theory |
| title_sort | elementary number theory |
| topic | Number theory Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Number theory Zahlentheorie Einführung |
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