Glimpses of algebra and geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York, NY [u.a.]
Springer
2002
|
| Ausgabe: | 2. edition |
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXII, 450 Seiten Ill., graph. Darst. |
| ISBN: | 0387953450 |
Internformat
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| 250 | |a 2. edition | ||
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| 650 | 7 | |a Geometria |2 larpcal | |
| 650 | 4 | |a Géométrie | |
| 650 | 7 | |a Teoria dos números (textos elementares) |2 larpcal | |
| 650 | 7 | |a Álgebra abstrata |2 larpcal | |
| 650 | 7 | |a Álgebra |2 larpcal | |
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| 650 | 4 | |a Geometry | |
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Datensatz im Suchindex
| _version_ | 1804129106416107520 |
|---|---|
| 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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| author | Tóth, Gábor |
| author_facet | Tóth, Gábor |
| author_role | aut |
| author_sort | Tóth, Gábor |
| author_variant | g t gt |
| building | Verbundindex |
| bvnumber | BV014220342 |
| callnumber-first | Q - Science |
| callnumber-label | QA154 |
| callnumber-raw | QA154.3 |
| callnumber-search | QA154.3 |
| callnumber-sort | QA 3154.3 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 380 SK 399 SK 200 SK 240 |
| ctrlnum | (OCoLC)47667260 (DE-599)BVBBV014220342 |
| dewey-full | 512/.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.12 |
| dewey-search | 512/.12 |
| dewey-sort | 3512 212 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. edition |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:59:52Z |
| institution | BVB |
| isbn | 0387953450 |
| language | English |
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| physical | XXII, 450 Seiten Ill., graph. Darst. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer |
| record_format | marc |
| 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 |
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