Dirichlet: a mathematical biography
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cham, Switzerland
Birkhäuser
[2018]
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | xix, 311 Seiten Illustrationen 24 cm |
| ISBN: | 9783030010713 |
Internformat
MARC
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| 245 | 1 | 0 | |a Dirichlet |b a mathematical biography |c Uta C. Merzbach |
| 264 | 1 | |a Cham, Switzerland |b Birkhäuser |c [2018] | |
| 264 | 4 | |c © 2018 | |
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Datensatz im Suchindex
| _version_ | 1804179353733431296 |
|---|---|
| adam_text | CONTENTS
RHINELAND
............................................
1
1.1 DUEREN
..........................................
1
1.2 BONN
..........................................
4
1.3
COLOGNE
........................................
4
2
PARIS
................................................
9
2.1
EARLY
REPORTS HOME
...............................
9
2.2 MADAME LORGE
AND
THE
DEUTGENS
......................
10
2.3 PROFESSORS
.......................................
10
2.4 SMALLPOX
.......................................
12
2.5 WATER FLOW
......................................
12
2.6 FIRST EMPLOYMENT
.................................
13
2.7 OBLIGATIONS
AT
HOME; DRAFT
CALL
.......................
14
2.8
THE
MYSTERIOUS RESEARCH
PROJECT
......................
15
3
FIRST SUCCESS
..........................................
17
3.1 FERMAT S
CLAIM
...................................
17
3.2
LACROIX
AND
LEGENDRE
..............................
17
3.3
THE DRAFT
BOARD
AND
THE
INSTITUT
OF
THE
ACADEMIE
..........
18
3.4
THE REVIEW
COMMITTEE S
REPORT
......................
19
3.5
LEGENDRE S
PROOF;
DIRICHLET S
ADDITION
................
20
4
RETURN
TO
PRUSSIA
......................................
23
4.1
POLITICAL BACKGROUND
...............................
23
4.2
THE DEATH
OF
FOY
.................................
24
4.3
FOURIER
AND
HUMBOLDT
..............................
24
4.4
APPROACHES
TO
PRUSSIA
..............................
27
4.5
GAUSS
..........................................
27
4.6
THE
CULTURAL MINISTRY
..............................
28
4.7
THE BRESLAU
APPOINTMENT
...........................
29
4.8
BONN
AND
THE
DOCTORATE
.............................
30
XIII
$
BLLOTHEK
DEUTSCHES
MUSEUM
A IUENCHEO
XIV
CONTENTS
4.9
POLITICAL
SUSPECT
.................................
.
4.10 THE VISIT
WITH
GAUSS
...............................
4.11 BRESLAU
........................................
4.12 CONFIRMATION
AND
RECOGNITION
........................
4.13 RADOWITZ
AND
THE
KRIEGSSCHULE
.......................
4.14 DEPARTURE
FROM
BRESLAU
.............................
5
EARLY
PUBLICATIONS
......................................
5.1 SOME INDETERMINATE
EQUATIONS
OF
DEGREE
5
..............
5.2 BIQUADRATIC
RESIDUES
...............................
5.3 THE HABILITATIONSSCHRIFT
.............................
5.4
WILSON S
AND
RELATED
THEOREMS
.......................
5.5 A
CHALLENGE
.....................................
6
BERLIN
...............................................
6.1 THE 1828
CONVENTION
..............................
6.2 MEETING
SCIENTISTS
.................................
6.3 GEOMAGNETISM
...................................
6.4 LEIPZIGERSTRASSE
3
..................................
6.5 FANNY
AND
WILHELM HENSEL
.........................
.
6.6 KRIEGSSCHULE
.....................................
6.7 STEPS
TO
A
UNIVERSITY APPOINTMENT
.....................
6.8 THE
UNIVERSITY
...................................
6.9
REBECCA
MENDELSSOHN
BARTHOLDY
......................
6.10
FAMILY
CONCERNS
..................................
6.11 NEW
SECURITY
....................................
7
PUBLICATIONS:
1829-1830
.................................
7.1 DEFINITE
INTEGRALS
..................................
7.2
CONVERGENCE
OF
FOURIER
SERIES
........................
7.3
A PROBLEM
FROM HEAT THEORY
........................
7.4
SUMMARY
.......................................
8 MATURATION
...........................................
8.1
EDUCATIONAL
COMMISSIONS
...........................
8.2
THE
KRIEGSSCHULE
.................................
8.3
THE UNIVERSITY
...................................
8.4
THE AKADEMIE
AND
THE
ACADEMIE
.....................
.
8.5
THE REPERTORIUM
..................................
8.6
GAUSSIAN INTERACTIONS
...............................
8.7
FAMILY:
1833-1835
................................
8.8
FAMILY:
1836-1838
................................
8.9 THE DEATH
OF
GANS
................................
31
32
32
36
37
37
39
39
42
46
47
48
49
49
51
52
54
55
57
58
60
61
62
63
65
65
66
70
70
71
71
73
74
77
77
78
80
82
83
CONTENTS
9
XV
PUBLICATIONS:
AUTUMN
1832-SPRING
1839
....................
85
9.1
QUADRATIC
RESIDUES IN
THE
COMPLEX
FIELD
................
86
9.2
FERMAT S
LAST
THEOREM FOR
N=
14
.....................
91
9.3
QUADRATIC
FORMS
AND
DIVISORS
........................
91
9.4
EXISTENCE
AND
UNIQUENESS
ISSUES
......................
95
9.5
GAUSS
SUMS
.....................................
98
9.6
EULERIAN
INTEGRALS
.................................
102
9.7
EFFICACY
OF
LEAST
SQUARES
............................
103
9.8
PRIMES IN ARITHMETIC
PROGRESSIONS
.....................
105
9.9
THE
REPERTORIUM
REPORT
ON
ARBITRARY
FUNCTIONS
...........
108
9.10
SERIES
EXPANSIONS
AND
SPHERICAL
FUNCTIONS
...............
112
9.11
PELL S
EQUATION
AND
CIRCULAR
FUNCTIONS
..................
113
9.12
ASYMPTOTIC
LAWS
IN
NUMBER
THEORY
...................
114
9.13
INFINITE
SERIES
AND
NUMBER
THEORY
.....................
116
9.14
THE
NEW METHOD:
USING
A
DISCONTINUITY
FACTOR
...........
124
9.15
OBSERVATIONS
.....................................
127
10
EXPANDING
INTERACTIONS
..................................
131
10.1
PROFESSOR
DESIGNATE
................................
131
10.2
PARIS
...........................................
131
..................................
10.3
RETURN
TO
BERLIN
134
10.4
JACOBI
..........................................
136
10.5
PREPARATIONS
FOR
A
VACATION
..........................
137
10.6
SWITZERLAND
AND
ITALY
NORTH
OF
ROME
...................
139
10.7
ROME
..........................................
140
10.8
ILLNESSES
........................................
142
10.9
THE
BIRTH
OF
FLORA
.................................
142
10.10
RETURN
TO
BERLIN
..................................
143
11
PUBLICATIONS:
1839-1845
.................................
145
11.1
ANALYTIC
NUMBER
THEORY
146
11.2
PRIMES IN QUADRATIC
FORMS
..........................
148
11.3
EXTRACT
OF
A
LETTER
TO
LIOUVILLE:
THE
UNIT
THEOREM
FOR
DEGREE
3
.....................................
149
11.4
THE THEORY
OF
COMPLEX
NUMBERS
.....................
151
11.5
CERTAIN FUNCTIONS
OF
DEGREE
THREE
AND
ABOVE
............
152
11.6
A GENERALIZATION
RE
CONTINUED
FRACTIONS
AND
NUMBER
THEORY
.........................................
154
11.7
COMPLEX QUADRATIC
FORMS
AND
CLASS
NUMBERS
............
156
......................................
11.8
COMMENTS
156
12
A
DARKLING
DECADE
.....................................
157
12.1
THE
UNIVERSITY
...................................
158
12.2
THE
HEIDELBERG
OFFER
..............................
158
XVI
CONTENTS
12.3
GROWING TENSIONS
AT
THE
AKADEMIE
....................
159
12.4 FAMILY
TRAGEDIES
.................................
160
12.5
POLITICAL TURMOIL
..................................
161
12.6
RETURN
TO
SURFACE
NORMALCY
.........................
166
12.7
GOETTINGEN 1849
AND
1852
...........................
172
12.8
THE DEATH
OF
JACOBI
...............................
174
12.9
FAMILY DEATHS:
1848-1853
..........................
176
12.10
THE DEATH
OF
GAUSS
...............................
177
12.11
THE CALL
TO
GOETTINGEN
..............................
177
13
PUBLICATIONS: 1846-1855
.................................
181
13.1
STABILITY
OF
EQUILIBRIUM
.............................
182
13.2
THE UNIT THEOREM
.................................
184
13.3
POTENTIAL
THEORY
..................................
186
13.4
REDUCTION
OF
TERNARY
QUADRATIC
FORMS
..................
190
13.5
MEAN VALUES
IN
NUMBER THEORY
......................
192
13.6
THREE-SQUARES
DECOMPOSITION
........................
194
13.7
COMPOSITION
OF
BINARY QUADRATIC FORMS
.................
195
13.8
THE
DIVISION
PROBLEM:
1851C, 1854C, 1856F
..............
196
13.9
A RESTING
SOLID
IN
A
MOVING
FLUID
....................
196
13.10
DERIVATION
OF
TWO
ARITHMETICAL STATEMENTS
...............
197
13.11
GAUSS S FIRST PROOF
OF
QUADRATIC RECIPROCITY
.............
197
13.12
CONTINUED FRACTIONS;
QUADRATIC FORMS
WITH
POSITIVE
DETERMINANT
.....................................
198
13.13
QUADRATIC
FORMS
WITH
POSITIVE DETERMINANT
..............
200
13.14
SUMMARIZING
COMMENTS
............................
203
14
GOETTINGEN
............................................
205
14.1
THE SOCIETAET
DER
WISSENSCHAFTEN
......................
205
14.2
THE UNIVERSITY
...................................
205
14.3
MUSIC
..........................................
211
14.4
ADAPTATION
AND
SOCIAL LIFE
..........................
212
14.5
CONTINUING MATHEMATICAL
CONTACTS
.....................
214
14.6
PUBLICATIONS
.....................................
215
14.7 AGING
..........................................
218
14.8 TRAVEL
.........................................
219
14.9 ILLNESS
AND
DEATHS
.................................
220
15
AFTERMATH
............................................
223
15.1 FAMILY
.........................................
223
15.2 ASSOCIATES
.......................................
226
15.3 INSTITUTIONS
......................................
232
CONTENTS
XVII
16
LECTURES
.............................................
241
16.1
SUMMARY
OF
LECTURES
..............................
242
16.2 THE EDITORS
......................................
243
16.3
THE TOPICS
......................................
245
17
CENTENNIAL LEGACY
AND
COMMENTARY
.......................
253
17.1
THE CENTENNIAL.
I: MINKOWSKI S
ADDRESS
................
254
17.2
THE
CENTENNIAL.
II:
THE
MEMORIAL
VOLUME
...............
259
17.3
VORONOI
........................................
270
17.4
1909:
THUE
AND
LANDAU
.............................
271
17.5
COMMENTARY
.....................................
272
17.6
MINKOWSKI:
WHAT
IS
A
MATHEMATICAL
SCHOOL?
.............
275
BIBLIOGRAPHY
................................................
277
NAME
INDEX
.................................................
303
|
| any_adam_object | 1 |
| author | Merzbach, Uta C. 1933-2017 |
| author_GND | (DE-588)105364048X |
| author_facet | Merzbach, Uta C. 1933-2017 |
| author_role | aut |
| author_sort | Merzbach, Uta C. 1933-2017 |
| author_variant | u c m uc ucm |
| building | Verbundindex |
| bvnumber | BV045453573 |
| classification_rvk | SG 142 |
| ctrlnum | (OCoLC)1089714485 (DE-599)DNB1166681254 |
| discipline | Mathematik |
| format | Book |
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| genre | (DE-588)4006804-3 Biografie gnd-content (DE-588)4006432-3 Bibliografie gnd-content |
| genre_facet | Biografie Bibliografie |
| id | DE-604.BV045453573 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T08:18:31Z |
| institution | BVB |
| isbn | 9783030010713 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030838902 |
| oclc_num | 1089714485 |
| open_access_boolean | |
| owner | DE-29T DE-11 DE-210 |
| owner_facet | DE-29T DE-11 DE-210 |
| physical | xix, 311 Seiten Illustrationen 24 cm |
| psigel | DHB_DM |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | Birkhäuser |
| record_format | marc |
| spelling | Merzbach, Uta C. 1933-2017 Verfasser (DE-588)105364048X aut Dirichlet a mathematical biography Uta C. Merzbach Cham, Switzerland Birkhäuser [2018] © 2018 xix, 311 Seiten Illustrationen 24 cm txt rdacontent n rdamedia nc rdacarrier Lejeune Dirichlet, Peter Gustav 1805-1859 (DE-588)11852593X gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf PBX Humboldt Mendelssohn Prussia analysis number theory PBH (DE-588)4006804-3 Biografie gnd-content (DE-588)4006432-3 Bibliografie gnd-content Lejeune Dirichlet, Peter Gustav 1805-1859 (DE-588)11852593X p DE-604 Zahlentheorie (DE-588)4067277-3 s Erscheint auch als Online-Ausgabe 10.1007/978-3-030-01073-7 Erscheint auch als Online-Ausgabe 978-3-030-01073-7 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=abf22eaac11d42698d5d0a6c92f23f4b&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung Deutsches Museum application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030838902&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Merzbach, Uta C. 1933-2017 Dirichlet a mathematical biography Lejeune Dirichlet, Peter Gustav 1805-1859 (DE-588)11852593X gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)11852593X (DE-588)4067277-3 (DE-588)4006804-3 (DE-588)4006432-3 |
| title | Dirichlet a mathematical biography |
| title_auth | Dirichlet a mathematical biography |
| title_exact_search | Dirichlet a mathematical biography |
| title_full | Dirichlet a mathematical biography Uta C. Merzbach |
| title_fullStr | Dirichlet a mathematical biography Uta C. Merzbach |
| title_full_unstemmed | Dirichlet a mathematical biography Uta C. Merzbach |
| title_short | Dirichlet |
| title_sort | dirichlet a mathematical biography |
| title_sub | a mathematical biography |
| topic | Lejeune Dirichlet, Peter Gustav 1805-1859 (DE-588)11852593X gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Lejeune Dirichlet, Peter Gustav 1805-1859 Zahlentheorie Biografie Bibliografie |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=abf22eaac11d42698d5d0a6c92f23f4b&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030838902&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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