Holdings: Mathematical analysis

Mathematical analysis:

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Bibliographic Details
Main Author:	Klambauer, Gabriel (Author)
Format:	Book
Language:	English
Published:	New York Dekker 1975
Series:	Pure and applied mathematics. 31
Subjects:	Analyse mathématique Analyse Calcul infinitésimal Mathematical analysis Analysis Einführung
Online Access:	Inhaltsverzeichnis
Physical Description:	VIII, 500 S. graph. Darst.
ISBN:	0824763297

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MARC


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Record in the Search Index

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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	(DE-588)4151278-9 Einführung gnd-content
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
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physical	VIII, 500 S. graph. Darst.
publishDate	1975
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publisher	Dekker
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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
spellingShingle	Klambauer, Gabriel Mathematical analysis Pure and applied mathematics. Analyse mathématique ram Analyse Jussieu Calcul infinitésimal Jussieu Mathematical analysis Analysis (DE-588)4001865-9 gnd
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
url	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
volume_link	(DE-604)BV000001885
work_keys_str_mv	AT klambauergabriel mathematicalanalysis

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