Holdings: Applied number theory

Applied number theory:

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Bibliographic Details
Main Author:	Kraeft, Uwe (Author)
Format:	Book
Language:	English
Published:	Aachen Shaker 2001
Series:	Berichte aus der Mathematik
Subjects:	Getaltheorie Toepassingen Number theory Zahlentheorie
Online Access:	Inhaltsverzeichnis
Physical Description:	258 S. Ill. : 21 cm
ISBN:	382659195X

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adam_text	BERICHTE AUS DER MATHEMATIK UWE KRAEFT APPLIED NUMBER THEORY SHAKER VERLAG AACHEN 2001 CONTENT PAGE 1. INTRODUCTION AND GREEK MATHEMATICS . . . . 1 2. BASIC CHARACTERISTICS OF PYTHAGOREAN TRIPLES . . . 7 3. THEOREMS RELATED TO PYTHAGOREAN TRIPLES . . . 19 4. GENERALISATION OF PYTHAGOREAN TRIPLES BY FERMAT . . 29 5. PROPOSAL FOR A RECONSTRUCTION OF FERMAT S STRATEGY. . 31 6. REMARKS ON ELLIPTICAL EQUATIONS . . . . . 39 7. APPLICATIONS IN FACTORISATION AND QUADRATIC FORMS. . 43 8. SOME PROPERTIES OF NATURAL NUMBERS AND THEIR POWERS . 51 9. ELEMENTARY EUCLIDEAN SEQUENCES . . . . . 65 10. PRIMES AND N O N P R I M E S . . . . . . . 75 11. OBSERVATIONS TO GOLDBACH S CONJECTURE . . . 81 12. SPECIAL SEQUENCES 93 13. INFINITE SEQUENCES 99 14. AXIOMS OF SETS AND NATURAL NUMBERS . . . . 109 15. APPLICATIONS OF EUCLIDEAN SEQUENCES IN PHYSICS . . 115 16. HISTORY OF ALGEBRA 119 17. THE BOOKS OF DIOPHANTOS 123 18. DIOPHANTINE EQUATIONS WITH ONE VARIABLE . . . 127 19. DIOPHANTINE ANALYSIS OF FERMAT S LAST THEOREM . . 135 20. DIOPHANTINE EQUATIONS WITH SEVERAL VARIABLES . . 141 21. DIOPHANTINE EQUATIONS OF CONGRUENCES. . . . 149 22. DIOPHANTINE INEQUATIONS AND PERFECT NUMBERS . . 153 23. APPLICATION OF DE IN 2- AND 3-DIMENSIONAL POINT LATTICES 159 24. DE WITH COMPLEX AND HYPERCOMPLEX NUMBERS . . 167 25. ADDITIONAL RESULTS FROM ALGEBRA 177 26. HISTORY OF ANALYSIS 187 27. ARCHIMEDEAN APPROXIMATIONS . . . . . 189 28. REAL NUMBERS AND INFINITE SERIES . . . . . 191 29. ANALYSIS - DIFFERENTIAL AND INTEGRAL CALCULUS . . . 195 30. TRIGONOMETRY AND THE GAMMA-FUNCTION . . . 207 31. THE ZETA-FUNCTION . . . . . . . 215 32. PROBABILITY, STATISTICS, AND THE DISTRIBUTION OF PRIMES . 221 33. MEANING OF FORMULAE 227 34. PLATONIC POLYHEDRA - CRYSTALS - TOPOLOGY . . . 231 35. TENSORS, SPACES, AND TIME . . . . . . 243 CHOICE OF MAJOR REFERENCES . . . . . . 251
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indexdate	2024-07-09T18:53:12Z
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isbn	382659195X
language	English
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physical	258 S. Ill. : 21 cm
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publisher	Shaker
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series2	Berichte aus der Mathematik
spelling	Kraeft, Uwe Verfasser aut Applied number theory Uwe Kraeft Aachen Shaker 2001 258 S. Ill. : 21 cm txt rdacontent n rdamedia nc rdacarrier Berichte aus der Mathematik Getaltheorie gtt Toepassingen gtt Number theory Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009475498&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Kraeft, Uwe Applied number theory Getaltheorie gtt Toepassingen gtt Number theory Zahlentheorie (DE-588)4067277-3 gnd
subject_GND	(DE-588)4067277-3
title	Applied number theory
title_auth	Applied number theory
title_exact_search	Applied number theory
title_full	Applied number theory Uwe Kraeft
title_fullStr	Applied number theory Uwe Kraeft
title_full_unstemmed	Applied number theory Uwe Kraeft
title_short	Applied number theory
title_sort	applied number theory
topic	Getaltheorie gtt Toepassingen gtt Number theory Zahlentheorie (DE-588)4067277-3 gnd
topic_facet	Getaltheorie Toepassingen Number theory Zahlentheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009475498&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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