Two millennia of mathematics: from Archimedes to Gauss
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2000
|
| Schriftenreihe: | CMS books in mathematics
6 |
| Schlagworte: | |
| Online-Zugang: | Table of contents Publisher description Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 215 - 218 |
| Beschreibung: | XII, 223 S. graph. Darst. |
| ISBN: | 0387950222 |
Internformat
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Datensatz im Suchindex
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| adam_text | Contents
Preface v
Acknowledgments ix
1 From Archimedes to Gauss 1
1.1 Archimedes and Pi 2
1.2 Variations on a Theme 8
1.3 Playing a Mean Game 18
1.4 Gauss and the AGM 33
2 Logarithms 45
2.1 Exponential Functions 45
2.2 Logarithmic Functions 49
2.3 Napier and Briggs 60
2.4 The Logarithm as an Area 72
2.5 Further Historical Notes 76
3 Interpolation 81
3.1 The Interpolating Polynomial 81
3.2 Newton s Divided Differences 88
3.3 Finite Differences 93
3.4 Other Differences 98
3.5 Multivariate Interpolation 105
3.6 The Neville Aitken Algorithm 115
xii Contents
3.7 Historical Notes 119
4 Continued Fractions 121
4.1 The Euclidean Algorithm 121
4.2 Linear Recurrence Relations 131
4.3 Fibonacci Numbers 138
4.4 Continued Fractions . . . 147
4.5 Historical Notes 161
5 More Number Theory 165
5.1 The Prime Numbers 166
5.2 Congruences 172
5.3 Quadratic Residues 181
5.4 Diophantine Equations 188
5.5 Algebraic Integers 194
5.6 The equation x3 + y3 = z3 204
5.7 Euler and Sums of Cubes 209
References 215
Index 219
|
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| indexdate | 2024-07-09T18:46:42Z |
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| isbn | 0387950222 |
| language | English |
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| spelling | Phillips, George M. 1938- Verfasser (DE-588)124677940 aut Two millennia of mathematics from Archimedes to Gauss George M. Phillips New York, NY [u.a.] Springer 2000 XII, 223 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier CMS books in mathematics 6 Literaturverz. S. 215 - 218 Mathématiques - Histoire Mathématiques - Miscellanées Wiskunde gtt Geschichte Mathematik Mathematics -- Miscellanea Mathematics -- History Mathematik (DE-588)4037944-9 gnd rswk-swf Geschichte (DE-588)4020517-4 gnd rswk-swf Mathematik (DE-588)4037944-9 s Geschichte (DE-588)4020517-4 s DE-604 CMS books in mathematics 6 (DE-604)BV013248581 6 text/html http://catdir.loc.gov/catdir/enhancements/fy0816/00023807-t.html Table of contents text/html http://catdir.loc.gov/catdir/enhancements/fy0816/00023807-d.html Publisher description HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009205333&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Phillips, George M. 1938- Two millennia of mathematics from Archimedes to Gauss CMS books in mathematics Mathématiques - Histoire Mathématiques - Miscellanées Wiskunde gtt Geschichte Mathematik Mathematics -- Miscellanea Mathematics -- History Mathematik (DE-588)4037944-9 gnd Geschichte (DE-588)4020517-4 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4020517-4 |
| title | Two millennia of mathematics from Archimedes to Gauss |
| title_auth | Two millennia of mathematics from Archimedes to Gauss |
| title_exact_search | Two millennia of mathematics from Archimedes to Gauss |
| title_full | Two millennia of mathematics from Archimedes to Gauss George M. Phillips |
| title_fullStr | Two millennia of mathematics from Archimedes to Gauss George M. Phillips |
| title_full_unstemmed | Two millennia of mathematics from Archimedes to Gauss George M. Phillips |
| title_short | Two millennia of mathematics |
| title_sort | two millennia of mathematics from archimedes to gauss |
| title_sub | from Archimedes to Gauss |
| topic | Mathématiques - Histoire Mathématiques - Miscellanées Wiskunde gtt Geschichte Mathematik Mathematics -- Miscellanea Mathematics -- History Mathematik (DE-588)4037944-9 gnd Geschichte (DE-588)4020517-4 gnd |
| topic_facet | Mathématiques - Histoire Mathématiques - Miscellanées Wiskunde Geschichte Mathematik Mathematics -- Miscellanea Mathematics -- History |
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