17 Lectures on Fermat numbers: from number theory to geometry
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Springer
2001
|
| Series: | CMS books in mathematics
9 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XXIV, 257 S. Ill., graph. Darst. |
| ISBN: | 9780387953328 0387953329 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Foreword vii
Preface xix
Glossary of Symbols xxi
1. Introduction 1
2. Fundamentals of Number Theory 9
3. Basic Properties of Fermat Numbers 27
4. The Most Beautiful Theorems on Fermat Numbers 34
5. Primality of Fermat Numbers 42
6. Divisibility of Fermat Numbers 60
7. Factors of Fermat Numbers 71
8. Connection of Fermat Numbers with Pascal s Triangle 81
9. Miscellaneous Results 96
10. The Irrationality of the Sum of Some Reciprocals 106
11. Fermat Primes and a Diophantine Equation 119
12. Fermat s Little Theorem, Pseudoprimes, and Superpseudoprimes 132
13. Generalizations of Fermat Numbers 149
14. Open Problems 160
15. Fermat Number Transform and Other Applications 167
16. The Proof of Gauss s Theorem 189
17. Euclidean Construction of the Regular Heptadecagon 195
Appendix 209
A. Tables of Format Numbers and Their Prime Factors 209
B. Mersenne Numbers 215
C. Remembrance of Pierre de Fermat 220
References 228
xxiv 17 lectures on Fermat numbers
Web Site Sources 243
Name Index 244
Subject Index 249
|
| any_adam_object | 1 |
| author | Křížek, Michal Luca, Florian 1969- Somer, Lawrence |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-sort | 3512 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:57:42Z |
| institution | BVB |
| isbn | 9780387953328 0387953329 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009661773 |
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| spelling | Křížek, Michal Verfasser aut 17 Lectures on Fermat numbers from number theory to geometry Michal Křížek ; Florian Luca ; Lawrence Somer Seventeen lectures on Fermat numbers New York [u.a.] Springer 2001 XXIV, 257 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier CMS books in mathematics 9 Fermat, Pierre de 1601-1665 (DE-588)118532561 gnd rswk-swf Fermat, Nombres de Priemgetallen gtt Fermat numbers Fermat-Zahl (DE-588)4672709-7 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Fermat, Pierre de 1601-1665 (DE-588)118532561 p Zahlentheorie (DE-588)4067277-3 s DE-604 Fermat-Zahl (DE-588)4672709-7 s Luca, Florian 1969- Verfasser (DE-588)1025704193 aut Somer, Lawrence Verfasser aut CMS books in mathematics 9 (DE-604)BV013248581 9 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009661773&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Křížek, Michal Luca, Florian 1969- Somer, Lawrence 17 Lectures on Fermat numbers from number theory to geometry CMS books in mathematics Fermat, Pierre de 1601-1665 (DE-588)118532561 gnd Fermat, Nombres de Priemgetallen gtt Fermat numbers Fermat-Zahl (DE-588)4672709-7 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)118532561 (DE-588)4672709-7 (DE-588)4067277-3 |
| title | 17 Lectures on Fermat numbers from number theory to geometry |
| title_alt | Seventeen lectures on Fermat numbers |
| title_auth | 17 Lectures on Fermat numbers from number theory to geometry |
| title_exact_search | 17 Lectures on Fermat numbers from number theory to geometry |
| title_full | 17 Lectures on Fermat numbers from number theory to geometry Michal Křížek ; Florian Luca ; Lawrence Somer |
| title_fullStr | 17 Lectures on Fermat numbers from number theory to geometry Michal Křížek ; Florian Luca ; Lawrence Somer |
| title_full_unstemmed | 17 Lectures on Fermat numbers from number theory to geometry Michal Křížek ; Florian Luca ; Lawrence Somer |
| title_short | 17 Lectures on Fermat numbers |
| title_sort | 17 lectures on fermat numbers from number theory to geometry |
| title_sub | from number theory to geometry |
| topic | Fermat, Pierre de 1601-1665 (DE-588)118532561 gnd Fermat, Nombres de Priemgetallen gtt Fermat numbers Fermat-Zahl (DE-588)4672709-7 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Fermat, Pierre de 1601-1665 Fermat, Nombres de Priemgetallen Fermat numbers Fermat-Zahl Zahlentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009661773&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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