Holdings: Advanced calculus :: THWS Bibkatalog

Advanced calculus:

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Bibliographic Details
Main Author:	Buck, Creighton R. (Author)
Format:	Book
Language:	English
Published:	New York [u.a.] McGraw-Hill 1965
Edition:	2. ed.
Series:	International series in pure and applied mathematics.
Subjects:	Cálculo Integrales Analysis Differentialrechnung Integralrechnung Einführung
Online Access:	Inhaltsverzeichnis
Physical Description:	XIII, 527 S. Ill., graph. Darst.

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adam_text	CONTENTS FOR THE STUDENT v PREFACE vii chapter 1 SETS AND FUNCTIONS 1 1.1 Introduction 1 1.2 Geometry 2 1.3 Distance 9 1.4 Functions 15 1.5 Topological ideas 24 1.6 Order properties and the LUB property 34 1.7 Sequences of points 40 1.8 Real sequences 45 chapter 2 CONTINUITY 55 2.1 Introduction 55 2.2 Basic definitions 55 2.3 Approximation properties and uniform continuity 65 2.4 Properties of continuous functions 72 2.5 Limits of functions 76 xi 2.6 Discontinuities 82 2.7 Mean value theorems and L Hospital s rule 89 chapter 3 INTEGRATION 97 3.1 The definite integral 97 3.2 Evaluation of definite integrals 107 3.3 Taylor s theorem 124 3.4 Improper integrals 131 3.5 Set functions 151 chapter 4 CONVERGENCE 158 4.1 Infinite series 158 4.2 Uniform convergence 180 4.3 Power series 196 4.4 Improper integrals with a parameter 204 4.5 The Gamma function 213 chapter 5 DIFFERENTIATION 221 5.1 Transformations 221 5.2 Linear functions and transformations 229 5.3 The differential of a function 238 5.4 Differentiation of composite functions 250 5.5 Differentials of transformations 263 5.6 Inverses of functions of one variable 270 5.7 Inverses of transformations; 274 5.8 The implicit function theorems 283 5.9 Functional dependence 287 chapter 6 APPLICATIONS TO GEOMETRY AND ANALYSIS 296 6.1 Transformations of multiple integrals 296 6.2 Curves and arc length 313 6.3 Surfaces and surface area 330 6.4 Extremal properties of functions of several variables 349 xii chapter 7 DIFFERENTIAL GEOMETRY AND VECTOR CALCULUS 366 7.1 Integrals over curves and surfaces 360 7.2 Differential forms 370 7.3 Vector analysis 390 7.4 The theorems of Green, Gauss, and Stokes 405 7.5 Independence of path, and exact differential forms 423 chapter 8 SPECIAL APPLICATIONS 437 8.1 Field theory 437 8.2 Calculus of variations 445 SUGGESTED READING 457 appendix I FOUNDATIONS OF THE REAL NUMBER SYSTEM 461 appendix II APPLICATIONS OF MATHEMATICS 468 appendix III LOGIC AND SET THEORY 476 appendix IV FURTHER TOPICS IN ANALYSIS 481 appendix V INTRODUCTION TO COMPLEX ANALYSIS 486 ANSWERS AND HINTS 495 LIST OF SYMBOLS 519 INDEX 521 xiii
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discipline	Mathematik Wirtschaftswissenschaften
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language	English
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physical	XIII, 527 S. Ill., graph. Darst.
publishDate	1965
publishDateSearch	1965
publishDateSort	1965
publisher	McGraw-Hill
record_format	marc
series2	International series in pure and applied mathematics.
spelling	Buck, Creighton R. Verfasser aut Advanced calculus Robert Creighton Buck. With the collaboration of Ellen F. Buck 2. ed. New York [u.a.] McGraw-Hill 1965 XIII, 527 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier International series in pure and applied mathematics. Cálculo Integrales Analysis (DE-588)4001865-9 gnd rswk-swf Differentialrechnung (DE-588)4012252-9 gnd rswk-swf Integralrechnung (DE-588)4027232-1 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Analysis (DE-588)4001865-9 s DE-604 Integralrechnung (DE-588)4027232-1 s Differentialrechnung (DE-588)4012252-9 s Buck, Ellen F. Sonstige oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001859237&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Buck, Creighton R. Advanced calculus Cálculo Integrales Analysis (DE-588)4001865-9 gnd Differentialrechnung (DE-588)4012252-9 gnd Integralrechnung (DE-588)4027232-1 gnd
subject_GND	(DE-588)4001865-9 (DE-588)4012252-9 (DE-588)4027232-1 (DE-588)4151278-9
title	Advanced calculus
title_auth	Advanced calculus
title_exact_search	Advanced calculus
title_full	Advanced calculus Robert Creighton Buck. With the collaboration of Ellen F. Buck
title_fullStr	Advanced calculus Robert Creighton Buck. With the collaboration of Ellen F. Buck
title_full_unstemmed	Advanced calculus Robert Creighton Buck. With the collaboration of Ellen F. Buck
title_short	Advanced calculus
title_sort	advanced calculus
topic	Cálculo Integrales Analysis (DE-588)4001865-9 gnd Differentialrechnung (DE-588)4012252-9 gnd Integralrechnung (DE-588)4027232-1 gnd
topic_facet	Cálculo Integrales Analysis Differentialrechnung Integralrechnung Einführung
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001859237&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT buckcreightonr advancedcalculus AT buckellenf advancedcalculus

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