A guide to elementary number theory:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
[Washington, D.C.]
Math. Assoc. of America
2009
|
| Schriftenreihe: | Dolciani mathematical expositions
41 MAA guides 5 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 1. Greatest common divisors -- 2. Unique factorization -- 3. Linear Diophantine equations -- 4. Congruences -- 5. Linear congruences -- 6. The Chinese remainder theorem -- 7. Fermat's theorem -- 8. Wilson's theorem -- 9. The number of divisors of an integer -- 10. The sum of the divisors of an integer -- 11. Amicable numbers -- 12. Perfect numbers -- 13. Euler's theorem and function -- 14. Primitive roots and orders -- 15. Decimals -- 16. Quadratic congruences -- 17. Gauss's lemma -- 18. The quadratic reciprocity theorem -- 19. The Jacobi symbol -- 20. Pythagorean triangles -- 21. x⁴ + y⁴ [not equal] z⁴ -- 22. Sums of two squares -- 23. Sums of three squares -- 24. Sums of four squares -- 25. Waring's problem -- 26. Pell's equation -- 27. Continued fractions -- 28. Multigrades -- 29. Carmichael numbers -- 30. Sophie Germain primes -- 31. The group of multiplicative functions -- 32. Bounds for [pi](x) -- 33. The sum of the reciprocals of the primes -- 34. The Riemann hypothesis -- 35. The prime number theorem -- 36. The abc conjecture -- 37. Factorization and testing for primes -- 38. Algebraic and transcendental numbers -- 39. Unsolved problems |
| Beschreibung: | X, 141 S. 24 cm |
| ISBN: | 9780883853474 0883853477 |
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Datensatz im Suchindex
| _version_ | 1804142812101345280 |
|---|---|
| adam_text | Titel: A guide to elementary number theory
Autor: Dudley, Underwood
Jahr: 2009
Contents
Introduction.................................................... vii
1 Greatest Common Divisors.................................. 1
2 Unique Factorization........................................ 7
3 Linear Diophantine Equations............................... 11
4 Congruences................................................ 13
5 Linear Congruences......................................... 17
6 The Chinese Remainder Theorem............................ 21
7 Fermat s Theorem........................................... 25
8 Wilson s Theorem........................................... 27
9 The Number of Divisors of an Integer........................ 29
10 The Sum of the Divisors of an Integer........................ 31
11 Amicable Numbers.......................................... 33
12 Perfect Numbers............................................ 35
13 Euler s Theorem and Function............................... 37
14 Primitive Roots and Orders.................................. 41
15 Decimals.................................................... 49
16 Quadratic Congruences...................................... 51
17 Gauss s Lemma............................................. 57
18 The Quadratic Reciprocity Theorem......................... 61
19 The Jacobi Symbol.......................................... 67
20 Pythagorean Triangles....................................... 71
21 x4 + y4^z4............................................... 75
IX
x Contents
22 Sums of Two Squares........................................ 79
23 Sums of Three Squares...................................... 83
24 Sums of Four Squares....................................... 85
25 Waring s Problem........................................... 89
26 PelPs Equation.............................................. 91
27 Continued Fractions......................................... 95
28 Multigrades.................................................101
29 Carmichael Numbers........................................103
30 Sophie Germain Primes......................................105
31 The Group of Multiplicative Functions.......................107
32 Bounds for n(x).............................................111
33 The Sum of the Reciprocals of the Primes.....................117
34 The Riemann Hypothesis....................................121
35 The Prime Number Theorem................................123
36 The abc Conjecture.........................................125
37 Factorization and Testing for Primes.........................127
38 Algebraic and Transcendental Numbers......................131
39 Unsolved Problems..........................................135
Index...........................................................137
About the Author...............................................141
|
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| dewey-full | 512.7 |
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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV036421645 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:37:42Z |
| institution | BVB |
| isbn | 9780883853474 0883853477 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020218483 |
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| physical | X, 141 S. 24 cm |
| publishDate | 2009 |
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| publisher | Math. Assoc. of America |
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| series | Dolciani mathematical expositions MAA guides |
| series2 | Dolciani mathematical expositions MAA guides |
| spelling | Dudley, Underwood 1937- Verfasser (DE-588)111422043 aut A guide to elementary number theory Underwood Dudley [Washington, D.C.] Math. Assoc. of America 2009 X, 141 S. 24 cm txt rdacontent n rdamedia nc rdacarrier Dolciani mathematical expositions 41 MAA guides 5 1. Greatest common divisors -- 2. Unique factorization -- 3. Linear Diophantine equations -- 4. Congruences -- 5. Linear congruences -- 6. The Chinese remainder theorem -- 7. Fermat's theorem -- 8. Wilson's theorem -- 9. The number of divisors of an integer -- 10. The sum of the divisors of an integer -- 11. Amicable numbers -- 12. Perfect numbers -- 13. Euler's theorem and function -- 14. Primitive roots and orders -- 15. Decimals -- 16. Quadratic congruences -- 17. Gauss's lemma -- 18. The quadratic reciprocity theorem -- 19. The Jacobi symbol -- 20. Pythagorean triangles -- 21. x⁴ + y⁴ [not equal] z⁴ -- 22. Sums of two squares -- 23. Sums of three squares -- 24. Sums of four squares -- 25. Waring's problem -- 26. Pell's equation -- 27. Continued fractions -- 28. Multigrades -- 29. Carmichael numbers -- 30. Sophie Germain primes -- 31. The group of multiplicative functions -- 32. Bounds for [pi](x) -- 33. The sum of the reciprocals of the primes -- 34. The Riemann hypothesis -- 35. The prime number theorem -- 36. The abc conjecture -- 37. Factorization and testing for primes -- 38. Algebraic and transcendental numbers -- 39. Unsolved problems Number theory Elementare Zahlentheorie (DE-588)4294368-1 gnd rswk-swf Elementare Zahlentheorie (DE-588)4294368-1 s DE-604 Dolciani mathematical expositions 41 (DE-604)BV001900740 41 MAA guides 5 (DE-604)BV035218151 5 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020218483&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dudley, Underwood 1937- A guide to elementary number theory Dolciani mathematical expositions MAA guides Number theory Elementare Zahlentheorie (DE-588)4294368-1 gnd |
| subject_GND | (DE-588)4294368-1 |
| title | A guide to elementary number theory |
| title_auth | A guide to elementary number theory |
| title_exact_search | A guide to elementary number theory |
| title_full | A guide to elementary number theory Underwood Dudley |
| title_fullStr | A guide to elementary number theory Underwood Dudley |
| title_full_unstemmed | A guide to elementary number theory Underwood Dudley |
| title_short | A guide to elementary number theory |
| title_sort | a guide to elementary number theory |
| topic | Number theory Elementare Zahlentheorie (DE-588)4294368-1 gnd |
| topic_facet | Number theory Elementare Zahlentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020218483&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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