Holdings: Glimpses of algebra and geometry

Glimpses of algebra and geometry:

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Bibliographic Details
Main Author:	Tóth, Gábor (Author)
Format:	Book
Language:	English
Published:	New York, NY [u.a.] Springer 2002
Edition:	2. edition
Series:	Undergraduate Texts in Mathematics
Subjects:	Algèbre Geometria Géométrie Teoria dos números (textos elementares) Álgebra abstrata Álgebra Algebra Geometry Geometrie Lehrbuch
Online Access:	Inhaltsverzeichnis
Physical Description:	XXII, 450 Seiten Ill., graph. Darst.
ISBN:	0387953450

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MARC


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adam_text	GABOR TOTH GLIMPSES OF ALGEBRA AND GEOMETRY SECOND EDITION WITH 183 ILLUSTRATIONS, INCLUDING 18 IN FULL COLOR SPRINGER CONTENTS PREFACE TO THE SECOND EDITION VII PREFACE TO THE FIRST EDITION XI ACKNOWLEDGMENTS XVII SECTION 1 A NUMBER IS A MULTITUDE COMPOSED OF UNITS -EUCLID 1 PROBLEMS 6 WEB SITES 6 SECTION 2 ... THERE ARE NO IRRATIONAL NUMBERS AT ALL -KRONECKER 7 PROBLEMS 21 WEB SITES 25 SECTION 3 RATIONALITY, ELLIPTIC CURVES, AND FERMAT S LAST THEOREM 26 PROBLEMS 52 WEBSITES 54 SECTION 4 ALGEBRAIC OR TRANSCENDENTAL? 55 PROBLEMS 60 XIX XX CONTENTS SECTION 5 COMPLEX ARITHMETIC 62 PROBLEMS 71 SECTION 6 QUADRATIC, CUBIC, AND QUANTIC EQUATIONS 72 PROBLEMS 80 SECTION 7 STEREOGRAPHIC PROJECTION 83 PROBLEMS 88 WEB SITE 89 SECTION 8 PROOF OF THE FUNDAMENTAL THEOREM OF ALGEBRA 90 PROBLEMS 93 WEB SITE 95 SECTION 9 SYMMETRIES OF REGULAR POLYGONS 96 PROBLEMS 105 WEB SITES 106 SECTION 10 DISCRETE SUBGROUPS OF ISO (R 2 ) 107 PROBLEMS 120 WEB SITES 121 SECTION 11 MOBIUS GEOMETRY 122 PROBLEMS 130 SECTION 12 COMPLEX LINEAR FRACTIONAL TRANSFORMATIONS 131 PROBLEMS 137 SECTION 13 OUT OF NOTHING I HAVE CREATED A NEW UNIVERSE -BOLYAI 139 PROBLEMS 156 SECTION 14 FUCHSIAN GROUPS 158 PROBLEMS 171 SECTION 15 RIEMANN SURFACES 173 PROBLEMS 197 WEB SITE 198 CONTENTS SECTION 16 GENERAL SURFACES 199 PROBLEMS 208 WEB SITE 208 SECTION 17 THE FIVE PLATONIC SOLIDS 209 PROBLEMS 248 WEB SITES 254 FILM 254 SECTION 18 FINITE MOBIUS GROUPS 255 SECTION 19 DETOUR IN TOPOLOGY: EULER-POINCARE CHARACTERISTIC 266 PROBLEMS 278 FILM 278 SECTION 20 DETOUR IN GRAPH THEORY: EULER, HAMILTON, AND THE FOUR COLOR THEOREM 279 PROBLEMS 294 WEB SITES 297 SECTION 21 DIMENSION LEAP 298 PROBLEMS 304 SECTION 22 QUATERNIONS 305 PROBLEMS 315 WEB SITES 316 SECTION 23 BACK TO R 3 ! 317 PROBLEMS 328 SECTION 24 INVARIANTS 329 PROBLEM 344 SECTION 25 THE ICOSAHEDRON AND THE UNSOLVABLE QUINTIC 345 A. POLYHEDRAL EQUATIONS 346 B. HYPERGEOMETRIC FUNCTIONS 348 C. THE TSCHIRNHAUS TRANSFORMATION 351 D. QUINTIC RESOLVENTS OF THE ICOSAHEDRAL EQUATION 355 XXI CONTENTS E. SOLVABILITY OF THE QUINTIC A LA KLEIN 363 F. GEOMETRY OF THE CANONICAL EQUATION: GENERAL CONSIDERATIONS 365 G. GEOMETRY OF THE CANONICAL EQUATION: EXPLICIT FORMULAS 369 PROBLEMS 377 SECTION 26 THE FOURTH DIMENSION 380 PROBLEMS 394 FILM 395 APPENDIX A SETS 397 APPENDIX B GROUPS 399 APPENDIX C TOPOLOGY 403 APPENDIX D SMOOTH MAPS 407 APPENDIX E THE HYPERGEOMETRIC DIFFERENTIAL EQUATION AND THE SCHWARZIAN 409 APPENDIX F GALOIS THEORY 419 SOLUTIONS FOR 100 SELECTED PROBLEMS 425 INDEX 443
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physical	XXII, 450 Seiten Ill., graph. Darst.
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series2	Undergraduate Texts in Mathematics
spelling	Tóth, Gábor Verfasser aut Glimpses of algebra and geometry Gábor Tóth 2. edition New York, NY [u.a.] Springer 2002 XXII, 450 Seiten Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate Texts in Mathematics Algèbre Geometria larpcal Géométrie Teoria dos números (textos elementares) larpcal Álgebra abstrata larpcal Álgebra larpcal Algebra Geometry Algebra (DE-588)4001156-2 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Algebra (DE-588)4001156-2 s Geometrie (DE-588)4020236-7 s DE-604 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009750369&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
spellingShingle	Tóth, Gábor Glimpses of algebra and geometry Algèbre Geometria larpcal Géométrie Teoria dos números (textos elementares) larpcal Álgebra abstrata larpcal Álgebra larpcal Algebra Geometry Algebra (DE-588)4001156-2 gnd Geometrie (DE-588)4020236-7 gnd
subject_GND	(DE-588)4001156-2 (DE-588)4020236-7 (DE-588)4123623-3
title	Glimpses of algebra and geometry
title_auth	Glimpses of algebra and geometry
title_exact_search	Glimpses of algebra and geometry
title_full	Glimpses of algebra and geometry Gábor Tóth
title_fullStr	Glimpses of algebra and geometry Gábor Tóth
title_full_unstemmed	Glimpses of algebra and geometry Gábor Tóth
title_short	Glimpses of algebra and geometry
title_sort	glimpses of algebra and geometry
topic	Algèbre Geometria larpcal Géométrie Teoria dos números (textos elementares) larpcal Álgebra abstrata larpcal Álgebra larpcal Algebra Geometry Algebra (DE-588)4001156-2 gnd Geometrie (DE-588)4020236-7 gnd
topic_facet	Algèbre Geometria Géométrie Teoria dos números (textos elementares) Álgebra abstrata Álgebra Algebra Geometry Geometrie Lehrbuch
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009750369&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT tothgabor glimpsesofalgebraandgeometry

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