Verfügbarkeit: A concise introduction to analysis

A concise introduction to analysis:

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Bibliographische Detailangaben
1. Verfasser:	Stroock, Daniel W. 1940- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cham Springer [2015]
Schlagworte:	Mathematics Associative rings Rings (Algebra) Associative Rings and Algebras Mathematik Ring > Mathematik Assoziativer Ring
Online-Zugang:	BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 URL des Erstveröffentlichers Inhaltsverzeichnis Abstract
Beschreibung:	1 Online Ressource (XII, 218 Seiten)
ISBN:	9783319244693
DOI:	10.1007/978-3-319-24469-3

Internformat

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Datensatz im Suchindex

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adam_text	A CONCISE INTRODUCTION TO ANALYSIS / STROOCK, DANIEL W. : 2015 TABLE OF CONTENTS / INHALTSVERZEICHNIS ANALYSIS ON THE REAL LINE ELEMENTS OF COMPLEX ANALYSIS INTEGRATION HIGHER DIMENSIONS INTEGRATION IN HIGHER DIMENSIONS A LITTLE BIT OF ANALYTIC FUNCTION THEORY DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. A CONCISE INTRODUCTION TO ANALYSIS / STROOCK, DANIEL W. : 2015 ABSTRACT / INHALTSTEXT THIS BOOK PROVIDES AN INTRODUCTION TO THE BASIC IDEAS AND TOOLS USED IN MATHEMATICAL ANALYSIS. IT IS A HYBRID CROSS BETWEEN AN ADVANCED CALCULUS AND A MORE ADVANCED ANALYSIS TEXT AND COVERS TOPICS IN BOTH REAL AND COMPLEX VARIABLES. CONSIDERABLE SPACE IS GIVEN TO DEVELOPING RIEMANN INTEGRATION THEORY IN HIGHER DIMENSIONS, INCLUDING A RIGOROUS TREATMENT OF FUBINI S THEOREM, POLAR COORDINATES AND THE DIVERGENCE THEOREM. THESE ARE USED IN THE FINAL CHAPTER TO DERIVE CAUCHY S FORMULA, WHICH IS THEN APPLIED TO PROVE SOME OF THE BASIC PROPERTIES OF ANALYTIC FUNCTIONS. AMONG THE UNUSUAL FEATURES OF THIS BOOK IS THE TREATMENT OF ANALYTIC FUNCTION THEORY AS AN APPLICATION OF IDEAS AND RESULTS IN REAL ANALYSIS. FOR INSTANCE, CAUCHY S INTEGRAL FORMULA FOR ANALYTIC FUNCTIONS IS DERIVED AS AN APPLICATION OF THE DIVERGENCE THEOREM. THE LAST SECTION OF EACH CHAPTER IS DEVOTED TO EXERCISES THAT SHOULD BE VIEWED AS AN INTEGRAL PART OF THE TEXT. A CONCISE INTRODUCTION TO ANALYSIS SHOULD APPEAL TO UPPER LEVEL UNDERGRADUATE MATHEMATICS STUDENTS,GRADUATE STUDENTS IN FIELDS WHERE MATHEMATICS IS USED, AS WELL AS TO THOSE WISHING TO SUPPLEMENT THEIR MATHEMATICAL EDUCATION ON THEIR OWN. WHEREVER POSSIBLE, AN ATTEMPT HAS BEEN MADE TO GIVE INTERESTING EXAMPLES THAT DEMONSTRATE HOW THE IDEAS ARE USED AND WHY IT IS IMPORTANT TO HAVE A RIGOROUS GRASP OF THEM DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Stroock, Daniel W. 1940-
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dewey-full	512.46
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	512 - Algebra
dewey-raw	512.46
dewey-search	512.46
dewey-sort	3512.46
dewey-tens	510 - Mathematics
discipline	Mathematik
doi_str_mv	10.1007/978-3-319-24469-3
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subject_GND	(DE-588)4128084-2 (DE-588)4143228-9 (DE-588)4037944-9
title	A concise introduction to analysis
title_auth	A concise introduction to analysis
title_exact_search	A concise introduction to analysis
title_full	A concise introduction to analysis Daniel W. Stroock
title_fullStr	A concise introduction to analysis Daniel W. Stroock
title_full_unstemmed	A concise introduction to analysis Daniel W. Stroock
title_short	A concise introduction to analysis
title_sort	a concise introduction to analysis
topic	Mathematics Associative rings Rings (Algebra) Associative Rings and Algebras Mathematik Ring Mathematik (DE-588)4128084-2 gnd Assoziativer Ring (DE-588)4143228-9 gnd Mathematik (DE-588)4037944-9 gnd
topic_facet	Mathematics Associative rings Rings (Algebra) Associative Rings and Algebras Mathematik Ring Mathematik Assoziativer Ring
url	https://doi.org/10.1007/978-3-319-24469-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632227&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632227&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT stroockdanielw aconciseintroductiontoanalysis

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