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Matters mathematical:

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Bibliographic Details
Main Authors:	Herstein, Israel N. (Author), Kaplansky, Irving 1917-2006 (Author)
Format:	Book
Language:	English
Published:	New York Chelsea 1978
Edition:	2. ed.
Subjects:	Mathématiques géométrie finie permutation théorie groupe théorie jeu théorie nombre Mathematik Mathematics
Online Access:	Inhaltsverzeichnis
Physical Description:	VIII, 246 S. graph. Darst.
ISBN:	0828403007

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MARC


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Record in the Search Index

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adam_text	Contents Preface vii 1 Sets and Functions 1 1. Sets 2 2. Sets and Counting 8 3. Functions 19 2 Number Theory 33 1. Prime Numbers 34 2. Some Formal Aspects 45 3. Some Formal Consequences 49 4. Some Basic Properties 56 5. Equivalence Relations 65 6. Congruence 69 7. Applications of the Pigeon-Hole Principle 79 8. Wwring s Problem 84 9. Fermat and Mersenne Primes 89 v vi Contents 3 Permutations 99 1. The Set A(S) 101 2. Cycle Decomposition 102 3. Even and Odd 110 4. The Interlacing Shuffle 118 5. The Josephus Permutation 121 Bibliography 127 4 Group Theory 129 1. Definition and Examples of Groups 130 2. Some Beginning Notions and Results 133 3. Subgroups 136 4. Lagrange s Theorem 141 5. Isomorphism 146 5 Finite Geometry 153 1. Introduction 153 2. Affine Planes 156 3. Counting Arguments 160 4. Planes of Low Order 166 5. Coordinate Affine Planes 170 6. Parallelograms and Midpoints 176 7. The Nonexistence of Planes of Order 6 184 Suggestions for Further Reading 193 6 Game Theory 195 1. Probability 196 2. Mathematical Expectation 198 3. Preliminary Remarks on Games 199 4. Examples 201 5. The General Two-by-Two Game 204 6. Simplified Poker 208 7. The Game Without a Name 212 8. Goofspiel 215 Suggestions for Further Reading 219 7 Infinite Sets 221 1. Infinite Numbers; Countable Sets 221 2. Uncountable Sets 234 Index 243
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indexdate	2024-07-09T15:41:30Z
institution	BVB
isbn	0828403007
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-001425935
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owner	DE-91G DE-BY-TUM DE-83
owner_facet	DE-91G DE-BY-TUM DE-83
physical	VIII, 246 S. graph. Darst.
publishDate	1978
publishDateSearch	1978
publishDateSort	1978
publisher	Chelsea
record_format	marc
spelling	Herstein, Israel N. Verfasser aut Matters mathematical I. N. Herstein ; I. Kaplansky 2. ed. New York Chelsea 1978 VIII, 246 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathématiques géométrie finie inriac permutation inriac théorie groupe inriac théorie jeu inriac théorie nombre inriac Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd rswk-swf Mathematik (DE-588)4037944-9 s DE-604 Kaplansky, Irving 1917-2006 Verfasser (DE-588)119264358 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001425935&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Herstein, Israel N. Kaplansky, Irving 1917-2006 Matters mathematical Mathématiques géométrie finie inriac permutation inriac théorie groupe inriac théorie jeu inriac théorie nombre inriac Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd
subject_GND	(DE-588)4037944-9
title	Matters mathematical
title_auth	Matters mathematical
title_exact_search	Matters mathematical
title_full	Matters mathematical I. N. Herstein ; I. Kaplansky
title_fullStr	Matters mathematical I. N. Herstein ; I. Kaplansky
title_full_unstemmed	Matters mathematical I. N. Herstein ; I. Kaplansky
title_short	Matters mathematical
title_sort	matters mathematical
topic	Mathématiques géométrie finie inriac permutation inriac théorie groupe inriac théorie jeu inriac théorie nombre inriac Mathematik Mathematics Mathematik (DE-588)4037944-9 gnd
topic_facet	Mathématiques géométrie finie permutation théorie groupe théorie jeu théorie nombre Mathematik Mathematics
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001425935&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
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