Problems in real and complex analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York u.a.
Springer
1992
|
| Series: | Problem books in mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 488 S. graph. Darst. |
| ISBN: | 038797766X 354097766X |
Staff View
MARC
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| 245 | 1 | 0 | |a Problems in real and complex analysis |c Bernard R. Gelbaum |
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| 300 | |a IX, 488 S. |b graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804119746075951104 |
|---|---|
| adam_text | Contents
The symbol a/b under Pages below indicates that the Problems for the
section begin on page a and the corresponding Solutions begin on page b.
Thus 3/139 on the line for Set Algebra indicates that the Problems in Set
Algebra begin on page 3 and the corresponding Solutions begin on page
139.
Preface v
REAL ANALYSIS
Problems Pages
1 Set Algebra and Function Lattices
1.1 Set Algebra 1.1 1.19 3/139
1.2 Function Lattices 1.20 1.36 7/146
2 Topology, Limits, and Continuity
2.1 Topology 2.1 2.52 12/153
2.2 Limits 2.53 2.72 21/169
2.3 Continuity 2.73 2.114 24/176
3 Real and Complex valued Functions
3.1 Real valued Functions 3.1 3.60 30/192
3.2 Complex valued functions 3.61 3.75 37/219
4 Measure and Topology
4.1 Borel Measures 4.1 4.32 40/225
4.2 Haar Measure 4.33 4.57 44/241
5 Measure Theory
5.1 Measure and Integration 5.1 5.147 48/248
5.2 Probability Theory 5.148 5.156 66/296
5.3 Ergodic Theory 5.157 5.163 68/300
viii Contents
Problems Pages
6 Topological Vector Spaces
6.1 The Spaces IS(X,n), 1 p oo 6.1 6.68 70/305
6.2 Hilbert Space Sj 6.69 6.109 79/331
6.3 Abstract Topological 6.110 6.162 83/347
Vector Spaces
6.4 Banach Algebras 6.163 6.172 89/365
COMPLEX ANALYSIS
7 Elementary Theory
7.1 Geometry in C 7.1 7.15 95/371
7.2 Polynomials 7.16 7.21 99/376
7.3 Power Series 7.22 7.34 99/377
8 Functions Holomorphic in a Disc
8.1 General Results 8.1 8.25 102/381
8.2 Applications of Mobius 8.26 8.31 105/387
Transformations
9 Functions Holomorphic in a Region
9.1 General Regions 9.1 9.4 106/390
9.2 Regions fl Containing £ (0,1) 9.5 9.10 106/391
9.3 Other Special Regions 9.11 9.33 107/392
10 Entire Functions
10.1 Elementary Theory 10.1 10.8 110/398
10.2 General Theory 10.9 10.29 110/399
10.3 Order of Growth 10.30 10.49 112/404
11 Analytic Continuation
11.1 Analytic Continuation of Series 11.1 11.7 115/414
11.2 General Theory 11.8 11.27 117/417
Contents ix
Problems Pages
12 Singularities
12.1 General Theory 12.1 12.7 121/424
12.2 Meromorphic Functions 12.8 12.13 122/426
12.3 Mittag Leffler, Runge, 12.14 12.22 123/427
and Weierstrafi Theorems
13 Harmonic Functions
13.1 Basic Properties 13.1 13.12 124/430
13.2 Developments 13.13 13.21 125/433
14 Families of Functions
14.1 Sequences of Functions 14.1 14.5 127/437
14.2 General Families 14.6 14.19 128/438
14.3 Defective Functions 14.20 14.28 129/442
14.4 Bergman s Kernel 14.29 14.34 130/444
Functions
15 Convexity Theorems
15.1 Thorin s Theorem 15.1 15.6 132/447
15.2 Applications 15.7 15.10 134/448
Bibliography 451
Symbol List 455
Glossary/Index 463
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:31:05Z |
| institution | BVB |
| isbn | 038797766X 354097766X |
| language | English |
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| physical | IX, 488 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series2 | Problem books in mathematics |
| spelling | Gelbaum, Bernard R. Verfasser aut Problems in real and complex analysis Bernard R. Gelbaum New York u.a. Springer 1992 IX, 488 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Problem books in mathematics Analyse mathématique - Problèmes et exercices Analyse mathématique - Problèmes et exercices ram Mathematical analysis Problems, exercises, etc Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Analysis (DE-588)4001865-9 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Analysis (DE-588)4001865-9 s DE-188 Funktionentheorie (DE-588)4018935-1 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003462786&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gelbaum, Bernard R. Problems in real and complex analysis Analyse mathématique - Problèmes et exercices Analyse mathématique - Problèmes et exercices ram Mathematical analysis Problems, exercises, etc Funktionentheorie (DE-588)4018935-1 gnd Analysis (DE-588)4001865-9 gnd |
| subject_GND | (DE-588)4018935-1 (DE-588)4001865-9 (DE-588)4143389-0 |
| title | Problems in real and complex analysis |
| title_auth | Problems in real and complex analysis |
| title_exact_search | Problems in real and complex analysis |
| title_full | Problems in real and complex analysis Bernard R. Gelbaum |
| title_fullStr | Problems in real and complex analysis Bernard R. Gelbaum |
| title_full_unstemmed | Problems in real and complex analysis Bernard R. Gelbaum |
| title_short | Problems in real and complex analysis |
| title_sort | problems in real and complex analysis |
| topic | Analyse mathématique - Problèmes et exercices Analyse mathématique - Problèmes et exercices ram Mathematical analysis Problems, exercises, etc Funktionentheorie (DE-588)4018935-1 gnd Analysis (DE-588)4001865-9 gnd |
| topic_facet | Analyse mathématique - Problèmes et exercices Mathematical analysis Problems, exercises, etc Funktionentheorie Analysis Aufgabensammlung |
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