Mathematical expeditions: chronicles by the explorers
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
New York [u.a.]
Springer
1999
|
| Schriftenreihe: | Undergraduate texts in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 259 - 267 |
| Beschreibung: | X, 275 S. Ill., graph. Darst. |
| ISBN: | 0387984348 038798433X |
Internformat
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| 100 | 1 | |a Laubenbacher, Reinhard C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematical expeditions |b chronicles by the explorers |c Reinhard Laubenbacher ; David Pengelley |
| 264 | 1 | |a New York [u.a.] |b Springer |c 1999 | |
| 300 | |a X, 275 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Undergraduate texts in mathematics | |
| 500 | |a Literaturverz. S. 259 - 267 | ||
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| 650 | 4 | |a Geschichte | |
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| 650 | 4 | |a Mathematics -- History -- Sources | |
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Datensatz im Suchindex
| _version_ | 1807593847290593280 |
|---|---|
| adam_text |
CONTENTS
PREFACE
V
1
GEOMETRY:
THE
PARALLEL
POSTULATE
1
1.1
INTRODUCTION
.
1
1.2
EUCLID
'
S
PARALLEL
POSTULATE
.
18
1.3
LEGENDRE
'
S
ATTEMPTS
TO
PROVE
THE
PARALLEL
POSTULATE
.
24
1.4
LOBACHEVSKIAN
GEOMETRY
.
31
1.5
POINCARE
'
S
EUCLIDEAN
MODEL
FOR
NON-EUCLIDEAN
GEOMETRY
.
43
2
SET
THEORY:
TAMING
THE
INFINITE
54
2.1
INTRODUCTION
.
54
2.2
BOLZANO
'
S
PARADOXES
OF
THE
INFINITE
.
69
2.3
CANTOR
'
S
INFINITE
NUMBERS
.
74
2.4
ZERMELO
'
S
AXIOMATIZATION
.
89
3
ANALYSIS:
CALCULATING
AREAS
AND
VOLUMES
95
3.1
INTRODUCTION
.
95
3.2
ARCHIMEDES
'
QUADRATURE
OF
THE
PARABOLA
.
108
3.3
ARCHIMEDES
'
METHOD
.
118
3.4
CAVALIERI
CALCULATES
AREAS
OF
HIGHER
PARABOLAS
.
123
3.5
LEIBNIZ
'
S
FUNDAMENTAL
THEOREM
OF
CALCULUS
.
129
3.6
CAUCHY
'
S
RIGORIZATION
OF
CALCULUS
.
138
3.7
ROBINSON
RESURRECTS
INFINITESIMALS
.
150
3.8
APPENDIX
ON
INFINITE
SERIES
.
154
X
CONTENTS
4
NUMBER
THEORY:
FERMAT
'
S
LAST
THEOREM
156
4.1
INTRODUCTION
.
156
4.2
EUCLID
'
S
CLASSIFICATION
OF
PYTHAGOREAN
TRIPLES
.
172
4.3
EULER
'
S
SOLUTION
FOR
EXPONENT
FOUR
.
179
4.4
GERMAIN
'
S
GENERAL
APPROACH
.
185
4.5
KUMMER
AND
THE
DAWN
OF
ALGEBRAIC
NUMBER
THEORY
.
193
4.6
APPENDIX
ON
CONGRUENCES
.
199
5
ALGEBRA:
THE
SEARCH
FOR
AN
ELUSIVE
FORMULA
204
5.1
INTRODUCTION
.
204
5.2
EUCLID
'
S
APPLICATION
OF
AREAS
AND
QUADRATIC
EQUATIONS
.
219
5.3
CARDANO
'
S
SOLUTION
OF
THE
CUBIC
.
224
5.4
LAGRANGE
'
S
THEORY
OF
EQUATIONS
.
233
5.5
GALOIS
ENDS
THE
STORY
.
247
REFERENCES
259
CREDITS
269
INDEX
271 |
| any_adam_object | 1 |
| author | Laubenbacher, Reinhard C. Pengelley, David |
| author_facet | Laubenbacher, Reinhard C. Pengelley, David |
| author_role | aut aut |
| author_sort | Laubenbacher, Reinhard C. |
| author_variant | r c l rc rcl d p dp |
| building | Verbundindex |
| bvnumber | BV012409016 |
| callnumber-first | Q - Science |
| callnumber-label | QA21 |
| callnumber-raw | QA21.L34 1999 |
| callnumber-search | QA21.L34 1999 |
| callnumber-sort | QA 221 L34 41999 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SG 500 SG 590 |
| ctrlnum | (OCoLC)38853781 (DE-599)BVBBV012409016 |
| dewey-full | 510/.9 510/.921 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510/.9 510/.9 21 |
| dewey-search | 510/.9 510/.9 21 |
| dewey-sort | 3510 19 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-08-17T00:50:24Z |
| institution | BVB |
| isbn | 0387984348 038798433X |
| language | German |
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| physical | X, 275 S. Ill., graph. Darst. |
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| publisher | Springer |
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| series2 | Undergraduate texts in mathematics |
| spelling | Laubenbacher, Reinhard C. Verfasser aut Mathematical expeditions chronicles by the explorers Reinhard Laubenbacher ; David Pengelley New York [u.a.] Springer 1999 X, 275 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in mathematics Literaturverz. S. 259 - 267 Mathématiques - Histoire - Sources Geschichte Mathematik Mathematics -- History -- Sources Algebra (DE-588)4001156-2 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf Mengenlehre (DE-588)4074715-3 gnd rswk-swf Geschichte (DE-588)4020517-4 gnd rswk-swf (DE-588)4135952-5 Quelle gnd-content Geometrie (DE-588)4020236-7 s Geschichte (DE-588)4020517-4 s DE-604 Mengenlehre (DE-588)4074715-3 s Analysis (DE-588)4001865-9 s Zahlentheorie (DE-588)4067277-3 s Algebra (DE-588)4001156-2 s Pengelley, David Verfasser aut DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008418590&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Laubenbacher, Reinhard C. Pengelley, David Mathematical expeditions chronicles by the explorers Mathématiques - Histoire - Sources Geschichte Mathematik Mathematics -- History -- Sources Algebra (DE-588)4001156-2 gnd Zahlentheorie (DE-588)4067277-3 gnd Geometrie (DE-588)4020236-7 gnd Analysis (DE-588)4001865-9 gnd Mengenlehre (DE-588)4074715-3 gnd Geschichte (DE-588)4020517-4 gnd |
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| title | Mathematical expeditions chronicles by the explorers |
| title_auth | Mathematical expeditions chronicles by the explorers |
| title_exact_search | Mathematical expeditions chronicles by the explorers |
| title_full | Mathematical expeditions chronicles by the explorers Reinhard Laubenbacher ; David Pengelley |
| title_fullStr | Mathematical expeditions chronicles by the explorers Reinhard Laubenbacher ; David Pengelley |
| title_full_unstemmed | Mathematical expeditions chronicles by the explorers Reinhard Laubenbacher ; David Pengelley |
| title_short | Mathematical expeditions |
| title_sort | mathematical expeditions chronicles by the explorers |
| title_sub | chronicles by the explorers |
| topic | Mathématiques - Histoire - Sources Geschichte Mathematik Mathematics -- History -- Sources Algebra (DE-588)4001156-2 gnd Zahlentheorie (DE-588)4067277-3 gnd Geometrie (DE-588)4020236-7 gnd Analysis (DE-588)4001865-9 gnd Mengenlehre (DE-588)4074715-3 gnd Geschichte (DE-588)4020517-4 gnd |
| topic_facet | Mathématiques - Histoire - Sources Geschichte Mathematik Mathematics -- History -- Sources Algebra Zahlentheorie Geometrie Analysis Mengenlehre Quelle |
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