Beyond the quartic equation:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
2009
|
| Ausgabe: | Reprint of the 1996 ed. |
| Schriftenreihe: | Modern Birkhäuser classics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 149 S. graph. Darst. 24 cm |
| ISBN: | 9780817648367 9780817648497 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804138623614844928 |
|---|---|
| adam_text | CONTENTS PREFACE IX 1. INTRODUCTION 1 2. GROUP THEORY AND SYMMETRY 6 2.1
THE CONCEPT OF GROUPS 6 2.2 SYMMETRY GROUPS 9 2.3 REGULAER POLYHEDRA 13
2.4 PERMUTATION GROUPS 19 2.5 POLYHEDRAL POLYNOMIALS 26 2.6
TRANSVECTANTS OF POLYHEDRAL POLYNOMIALS 30 3. THE SYMMETRY OF EQUATIONS:
GALOIS THEORY AND TSCHIRNHAUSEN TRANSFORMATIONS 34 3.1 RINGS, FIELDS,
AND POLYNOMIALS 34 3.2 GALOIS THEORY: SOLUBILITY OF ALGEBRAIC EQUATIONS
BY RADICALS . 45 3.3 TSCHIRNHAUSEN TRANSFORMATIONS 51 4. ELLIPTIC
FUNCTIONS 56 4.1 ELLIPTIC FUNCTIONS BY THE GENERALIZATION OF RADICALS 56
4.2 ELLIPTIC FUNCTIONS AS DOUBLY PERIODIC FUNCTIONS 62 4.3 THETA
FUNCTIONS 72 4.4 HIGHER ORDER THETA FUNCTIONS 79 5. ALGEBRAIC EQUATIONS
SOLUBLE BY RADICALS 82 5.1 THE QUADRATIC AND CUBIC EQUATIONS 82 5.2 THE
QUARTIC EQUATION 87 5.3 SPECIAL QUINTIC EQUATIONS SOLVABLE BY RADICALS
89 6. THE KIEPERT ALGORITHM FOR ROOTS OF THE GENERAL QUINTIC EQUATION .
95 6.1 INTRODUCTION _. 95 6.2 THE TSCHIRNHAUSEN TRANSFORMATION OF THE
GENERAL QUINTIC TO THE PRINCIPAL QUINTIC 99 6.3 THE TSCHIRNHAUSEN
TRANSFORMATION OF THE PRINCIPAL QUINTIC TO THE BRIOSCHI QUINTIC 103 6.4
TRANSFORMATION OF THE BRIOSCHI QUINTIC TO THE JACOBI SEXTIC . 108 6.5
SOLUTION OF THE JACOBI SEXTIC WITH WEIERSTRASS ELLIPTIC FUNCTIONS 113
6.6 EVALUATION OF THE WEIERSTRASS ELLIPTIC FUNCTIONS USING GENUS 1 THETA
FUNCTIONS 118 6. BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/990501353 DIGITALISIERT DURCH VIII CONTENTS 6.8 UNDOING
THE TSCHIRNHAUSEN TRANSFORMATIONS 126 7. THE METHODS OF HERMITE AND
GORDAN FOR SOLVING THE GENERAL QUINTIC EQUATION 128 7.1 HERMITE S EARLY
WORK ON THE QUINTIC EQUATION 128 7.2 GORDAN S WORK ON THE QUINTIC
EQUATION 132 8. BEYOND THE QUINTIC EQUATION 139 8.1 THE SEXTIC EQUATION
139 8.2 THE SEPTIC EQUATION 143 8.3 THE GENERAL ALGEBRAIC EQUATION OF
ANY DEGREE 147
|
| any_adam_object | 1 |
| author | King, R. Bruce 1938- |
| author_GND | (DE-588)114678839 |
| author_facet | King, R. Bruce 1938- |
| author_role | aut |
| author_sort | King, R. Bruce 1938- |
| author_variant | r b k rb rbk |
| building | Verbundindex |
| bvnumber | BV035316868 |
| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)300459867 (DE-599)DNB990501353 |
| dewey-full | 512.942 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.942 |
| dewey-search | 512.942 |
| dewey-sort | 3512.942 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Reprint of the 1996 ed. |
| format | Book |
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| id | DE-604.BV035316868 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:31:08Z |
| institution | BVB |
| isbn | 9780817648367 9780817648497 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017121512 |
| oclc_num | 300459867 |
| open_access_boolean | |
| owner | DE-824 DE-355 DE-BY-UBR DE-188 |
| owner_facet | DE-824 DE-355 DE-BY-UBR DE-188 |
| physical | X, 149 S. graph. Darst. 24 cm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Modern Birkhäuser classics |
| spelling | King, R. Bruce 1938- Verfasser (DE-588)114678839 aut Beyond the quartic equation R. Bruce King Reprint of the 1996 ed. Boston [u.a.] Birkhäuser 2009 X, 149 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Modern Birkhäuser classics Algebraische Gleichung (DE-588)4001162-8 gnd rswk-swf Grad 5 (DE-588)4366323-0 gnd rswk-swf Galois-Theorie (DE-588)4155901-0 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Elliptische Funktion (DE-588)4134665-8 gnd rswk-swf Algebraische Gleichung (DE-588)4001162-8 s Grad 5 (DE-588)4366323-0 s Galois-Theorie (DE-588)4155901-0 s Gruppentheorie (DE-588)4072157-7 s Elliptische Funktion (DE-588)4134665-8 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017121512&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | King, R. Bruce 1938- Beyond the quartic equation Algebraische Gleichung (DE-588)4001162-8 gnd Grad 5 (DE-588)4366323-0 gnd Galois-Theorie (DE-588)4155901-0 gnd Gruppentheorie (DE-588)4072157-7 gnd Elliptische Funktion (DE-588)4134665-8 gnd |
| subject_GND | (DE-588)4001162-8 (DE-588)4366323-0 (DE-588)4155901-0 (DE-588)4072157-7 (DE-588)4134665-8 |
| title | Beyond the quartic equation |
| title_auth | Beyond the quartic equation |
| title_exact_search | Beyond the quartic equation |
| title_full | Beyond the quartic equation R. Bruce King |
| title_fullStr | Beyond the quartic equation R. Bruce King |
| title_full_unstemmed | Beyond the quartic equation R. Bruce King |
| title_short | Beyond the quartic equation |
| title_sort | beyond the quartic equation |
| topic | Algebraische Gleichung (DE-588)4001162-8 gnd Grad 5 (DE-588)4366323-0 gnd Galois-Theorie (DE-588)4155901-0 gnd Gruppentheorie (DE-588)4072157-7 gnd Elliptische Funktion (DE-588)4134665-8 gnd |
| topic_facet | Algebraische Gleichung Grad 5 Galois-Theorie Gruppentheorie Elliptische Funktion |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017121512&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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