Verfügbarkeit: An introduction to the geometry of numbers

An introduction to the geometry of numbers:

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Bibliographische Detailangaben
1. Verfasser:	Cassels, John W. S. 1922-2015 (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin [u.a.] Springer 1997
Ausgabe:	Reprint of the 1971 ed.
Schriftenreihe:	Die Grundlehren der mathematischen Wissenschaften 99
Schlagworte:	Geometrie der Zahlen Zahlentheorie Geometrie Arithmetik Hochschulschrift
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	Literaturverz. S. 334 - 343
Beschreibung:	VII, 344 S. graph. Darst.
ISBN:	3540617884

Internformat

MARC


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Datensatz im Suchindex

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adam_text	J.W.S.CASSELS AN INTRODUCTION TO THE GEOMETRY OF NUMBERS SECOND PRINTING, CORRECTED SPRINGER-VERLAG BERLIN * HEIDELBERG * NEW YORK 1971 CONTENTS PAGE NOTATION VIII PROLOGUE 1 CHAPTER I. LATTICES 9 1. INTRODUCTION 9 2. BASES AND SUBLATTICES 9 3. LATTICES UNDER LINEAR TRANSFORMATION 19 4. FORMS AND LATTICES 20 5. THE POLAR LATTICE 23 CHAPTER II. REDUCTION 26 1. INTRODUCTION 26 2. THE BASIC PROCESS 27 3. DEFINITE QUADRATIC FORMS 30 4. INDEFINITE QUADRATIC FORMS 35 5. BINARY CUBIC FORMS 51 6. OTHER FORMS 60 CHAPTER III. THEOREMS OF BLICHFELDT AND MINKOWSKI 64 1. INTRODUCTION 64 2. BLICHFELDT S AND MINKOWSKI S THEOREMS * 68 3. GENERALISATIONS TO NON-NEGATIVE FUNCTIONS 73 4. CHARACTERISATION OF LATTICES 78 5. LATTICE CONSTANTS 80 6. A METHOD OF MORDELL 84 7. REPRESENTATION OF INTEGERS BY QUADRATIC FORMS 98 CHAPTER IV. DISTANCE FUNCTIONS 103 1. INTRODUCTION 103 2. GENERAL DISTANCE-FUNCTIONS 105 3. CONVEX SETS 108 4. DISTANCE FUNCTIONS AND LATTICES 119 CHAPTER V. MAHLER S COMPACTNESS THEOREM 121 1. INTRODUCTION 121 2. LINEAR TRANSFORMATIONS 122 3. CONVERGENCE OF LATTICES 126 4. COMPACTNESS FOR LATTICES 134 5. CRITICAL LATTICES 141 6. BOUNDED STAR-BODIES 145 7. REDUCIBILITY 152 8. CONVEX BODIES 155 9. SPHERES 163 10. APPLICATIONS TO DIOPHANTINE APPROXIMATION 165 CHAPTER VI. THE THEOREM OF MINKOWSKI-HLAWKA 175 1. INTRODUCTION 175 2. SUBLATTICES OF PRIME INDEX 17S CONTENTS VII PAGE 3. THE MINKOWSKI-HLAWKA THEOREM 181 4. SCHMIDT S THEOREMS 184 5. A CONJECTURE OF ROGERS 187 6. UNBOUNDED STAR-BODIES 189 CHAPTER VII. THE QUOTIENT SPACE 194 1. INTRODUCTION 194 2. GENERAL PROPERTIES 194 3. THE SUM THEOREM 198 CHAPTER VIII. SUCCESSIVE MINIMA 201 1. INTRODUCTION 201 2. SPHERES 205 3. GENERAL DISTANCE-FUNCTIONS 207 4. CONVEX SETS 213 5. POLAR CONVEX BODIES 219 CHAPTER IX. PACKINGS 223 1. INTRODUCTION 223 2. SETS WITH V(Y) = 1 N A{?) 228 3. VORONOI S RESULTS 231 4. PREPARATORY LEMMAS 235 5. FETES T6TH S THEOREM 240 6. CYLINDERS 245 7. PACKING OF SPHERES 246 8. THE PRODUCT OF N LINEAR FORMS 250 CHAPTER X. AUTOMORPHS 256 1. INTRODUCTION 256 2. SPECIAL FORMS 266 3. A METHOD OF MORDELL 268 4. EXISTENCE OF AUTOMORPHS 279 5. ISOLATION THEOREMS 286 6. APPLICATIONS OF ISOLATION 295 7. AN INFINITY OF SOLUTIONS 298 8. LOCAL METHODS 301 CHAPTER XI. INHOMOGENEOUS PROBLEMS 303 1. INTRODUCTION 303 2. CONVEX SETS 309 3. TRANSFERENCE THEOREMS FOR CONVEX SETS 313 4. THE PRODUCT OF N LINEAR FORMS 322 APPENDIX 332 REFERENCES 334 INDEX 343
any_adam_object	1
author	Cassels, John W. S. 1922-2015
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dewey-tens	510 - Mathematics
discipline	Mathematik
edition	Reprint of the 1971 ed.
format	Book
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series	Die Grundlehren der mathematischen Wissenschaften
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spelling	Cassels, John W. S. 1922-2015 Verfasser (DE-588)105102059 aut An introduction to the geometry of numbers J. W. S. Cassels Reprint of the 1971 ed. Berlin [u.a.] Springer 1997 VII, 344 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Die Grundlehren der mathematischen Wissenschaften 99 Classics in mathematics Literaturverz. S. 334 - 343 Geometrie der Zahlen Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Geometrie der Zahlen (DE-588)4227477-1 gnd rswk-swf Arithmetik (DE-588)4002919-0 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Geometrie der Zahlen (DE-588)4227477-1 s DE-604 Zahlentheorie (DE-588)4067277-3 s Geometrie (DE-588)4020236-7 s Arithmetik (DE-588)4002919-0 s 2\p DE-604 Die Grundlehren der mathematischen Wissenschaften 99 (DE-604)BV000000395 99 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007424468&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Cassels, John W. S. 1922-2015 An introduction to the geometry of numbers Die Grundlehren der mathematischen Wissenschaften Geometrie der Zahlen Zahlentheorie (DE-588)4067277-3 gnd Geometrie (DE-588)4020236-7 gnd Geometrie der Zahlen (DE-588)4227477-1 gnd Arithmetik (DE-588)4002919-0 gnd
subject_GND	(DE-588)4067277-3 (DE-588)4020236-7 (DE-588)4227477-1 (DE-588)4002919-0 (DE-588)4113937-9
title	An introduction to the geometry of numbers
title_auth	An introduction to the geometry of numbers
title_exact_search	An introduction to the geometry of numbers
title_full	An introduction to the geometry of numbers J. W. S. Cassels
title_fullStr	An introduction to the geometry of numbers J. W. S. Cassels
title_full_unstemmed	An introduction to the geometry of numbers J. W. S. Cassels
title_short	An introduction to the geometry of numbers
title_sort	an introduction to the geometry of numbers
topic	Geometrie der Zahlen Zahlentheorie (DE-588)4067277-3 gnd Geometrie (DE-588)4020236-7 gnd Geometrie der Zahlen (DE-588)4227477-1 gnd Arithmetik (DE-588)4002919-0 gnd
topic_facet	Geometrie der Zahlen Zahlentheorie Geometrie Arithmetik Hochschulschrift
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007424468&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000000395
work_keys_str_mv	AT casselsjohnws anintroductiontothegeometryofnumbers

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