Mathematical analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Dekker
1975
|
| Schriftenreihe: | Pure and applied mathematics.
31 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 500 S. graph. Darst. |
| ISBN: | 0824763297 |
Internformat
MARC
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| 650 | 7 | |a Analyse |2 Jussieu | |
| 650 | 7 | |a Calcul infinitésimal |2 Jussieu | |
| 650 | 4 | |a Mathematical analysis | |
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Datensatz im Suchindex
| _version_ | 1804116703317065728 |
|---|---|
| adam_text | CONTENTS
Preface vii
Chapter 1. The Real Number System
1. On Integers, Rational Numbers, and Irrational
Numbers 1
2. Dedekind Cuts 9
3. Inequalities 27
4. Sequences of Real Numbers 42
5. Series of Real Numbers 70
6. Systematic Fractions 86
Exercises 99
Chapter 2. Continuity
1. Point Set Theory 147
2. Continuous Functions 164
3. Functions of Finite Variation 193
4. Functional Equations 206
Exercises 214
v
vi CONTENTS
Chapter 3. Differentiation and Integration
1. Differentiability 233
2. The Riemann Stieltjes Integral 249
3. The Number e Is Transcendental 281
Exercises 286
Chapter 4. Uniform Convergence
1. Basic Properties of Uniform Convergence 309
2. Tests for Uniform Convergence 323
3. Approximation Theorems of Stone and Weierstrass . . 330
4. The Representation Theorem of F. Riesz 343
5 . Equicontinuity 347
6. Power Series 351
7. Fourier Series 364
Exercises 378
Chapter 5. Metric Spaces
1. Basic Notions 415
2. Topological Concepts 426
3. Continuity 446
4. Baire s Category Theorem 456
5. Tietze s Extension Theorem 463
Exercises 467
Index 495
|
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| genre_facet | Einführung |
| id | DE-604.BV002247286 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:42:43Z |
| institution | BVB |
| isbn | 0824763297 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001476790 |
| oclc_num | 1858041 |
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| physical | VIII, 500 S. graph. Darst. |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics. |
| series2 | Pure and applied mathematics. |
| spelling | Klambauer, Gabriel Verfasser aut Mathematical analysis Gabriel Klambauer New York Dekker 1975 VIII, 500 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics. 31 Analyse mathématique ram Analyse Jussieu Calcul infinitésimal Jussieu Mathematical analysis Analysis (DE-588)4001865-9 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Analysis (DE-588)4001865-9 s DE-604 Pure and applied mathematics. 31 (DE-604)BV000001885 31 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001476790&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| subject_GND | (DE-588)4001865-9 (DE-588)4151278-9 |
| title | Mathematical analysis |
| title_auth | Mathematical analysis |
| title_exact_search | Mathematical analysis |
| title_full | Mathematical analysis Gabriel Klambauer |
| title_fullStr | Mathematical analysis Gabriel Klambauer |
| title_full_unstemmed | Mathematical analysis Gabriel Klambauer |
| title_short | Mathematical analysis |
| title_sort | mathematical analysis |
| topic | Analyse mathématique ram Analyse Jussieu Calcul infinitésimal Jussieu Mathematical analysis Analysis (DE-588)4001865-9 gnd |
| topic_facet | Analyse mathématique Analyse Calcul infinitésimal Mathematical analysis Analysis Einführung |
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