An introduction to analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton ; Oxford
Princeton University Press
[2018]
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | x, 370 Seiten Illustrationen |
| ISBN: | 9780691178790 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804178407114670080 |
|---|---|
| adam_text | Contents
Preface ix
1 Algebraic Fundamentals 1
1.1 Sets and Numbers 1
1.2 Groups, Rings, and Fields 13
1.3 Vector Spaces 30
2 Topological Fundamentals 62
2.1 Normed Spaces 62
2.2 Metric Spaces 72
2.3 Topological Spaces 87
2.4 Compact Sets 98
3 Mappings 110
3.1 Continuous Mappings no
3.2 Differentiable Mappings 129
3.3 Analytic Mappings 149
4 Linear Mappings 189
4.1 Endomorphisms 189
4.2 Inner Product Spaces 211
5 Geometry of Mappings 231
5.1 Inverse Mapping Theorem 231
5.2 Implicit Function Theorem 246
5.3 Rank Theorem 255
6 Integration 266
6.1 Riemann Integral 266
6.2 Calculation of Integrals 284
7 Differential Forms 304
7.1 Line Integrals 304
7.2 Differential Forms 318
7.3 Integrals of Differential Forms 338
Index 363
Index of Notation
369
|
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| discipline | Mathematik |
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| isbn | 9780691178790 |
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| spelling | Gunning, Robert C. 1931- Verfasser (DE-588)119324326 aut An introduction to analysis Robert C. Gunning Princeton ; Oxford Princeton University Press [2018] © 2018 x, 370 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Analysis (DE-588)4001865-9 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Analysis (DE-588)4001865-9 s DE-604 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030268371&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| title | An introduction to analysis |
| title_auth | An introduction to analysis |
| title_exact_search | An introduction to analysis |
| title_full | An introduction to analysis Robert C. Gunning |
| title_fullStr | An introduction to analysis Robert C. Gunning |
| title_full_unstemmed | An introduction to analysis Robert C. Gunning |
| title_short | An introduction to analysis |
| title_sort | an introduction to analysis |
| topic | Analysis (DE-588)4001865-9 gnd |
| topic_facet | Analysis Einführung |
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