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Vector calculus:

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Main Author:	Marsden, Jerrold E. 1942-2010 (Author)
Format:	Book
Language:	English
Published:	New York Freeman 2003
Edition:	5. ed.
Subjects:	Analyse vectorielle Análisis vectorial Calcul infinitésimal Vectoren (wiskunde) Calculus Vector analysis Vektorrechnung Vektoranalysis Lehrbuch
Online Access:	Inhaltsverzeichnis
Item Description:	Includes bibliographical references and index
Physical Description:	XXVII, 676 S. Ill., graph. Darst.
ISBN:	0716749920 9780716749929

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MARC


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Record in the Search Index

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adam_text	VECTOR CALCULUS FIFTH EDITION J IT MID L. . }% LARSDCN CALIFORNIA INSTITUTE OF TECHNOLOGY, PASADENA ANTHONY J. TRORNBA UNIVERSITY OF CALIFORNIA, SANTA CRUZ W. H. FREEMAN AND COMPANY NEW YORK A PREFACE VII HISTORICAL INTRODUCTION XIII 1.1 VECTORS IN TWO- AND THREE-DIMENSIONAL SPACE / 1.2 THE INNER PRODUCT, LENGTH, AND DISTANCE 23 1.3 MATRICES, DETERMINANTS, AND THE CROSS PRODUCT 38 1.4 CYLINDRICAL AND SPHERICAL COORDINATES 65 1.5 ^-DIMENSIONAL EUCLIDEAN SPACE 74 REVIEW EXERCISES FOR CHAPTER 1 88 2.1 THE GEOMETRY OF REAL-VALUED FUNCTIONS 94 2.2 LIMITS AND CONTINUITY 107 2.3 DIFFERENTIATION 127 2.4 INTRODUCTION TO PATHS AND CURVES 141 2.5 PROPERTIES OF THE DERIVATIVE 150 2.6 GRADIENTS AND DIRECTIONAL DERIVATIVES 163 REVIEW EXERCISES FOR CHAPTER 2 173 3.1 ITERATED PARTIAL DERIVATIVES 182 3.2 TAYLOR S THEOREM 193 3.3 EXTREMA OF REAL-VALUED FUNCTIONS 203 3.4 CONSTRAINED EXTREMA AND LAGRANGE MULTIPLIERS 225 3.5 THE IMPLICIT FUNCTION THEOREM 246 REVIEW EXERCISES FOR CHAPTER 3 255 (-ONTENTS 4 VECTOR-VALUED FUNCTIONS 2( ! * 4.1 ACCELERATION AND NEWTON S SECOND LAW 261 4.2 ARC LENGTH 274 4.3 VECTOR FIELDS 285 4.4 DIVERGENCE AND CURL 294 REVIEW EXERCISES FOR CHAPTER 4 313 DOUBLE AND TRIPLE INTEGRALS 317 5.1 INTRODUCTION 317 5.2 THE DOUBLE INTEGRAL OVER A RECTANGLE 327 5.3 THE DOUBLE INTEGRAL OVER MORE GENERAL REGIONS 341 5.4 CHANGING THE ORDER OF INTEGRATION 349 5.5 THE TRIPLE INTEGRAL 354 REVIEW EXERCISES FOR CHAPTER 5 365 THE CHANGE OF VARIABLES FORMULA AND APPLICATIONS OF INTEGRATION 368 6.1 THE GEOMETRY OF MAPS FROM M? TO M 2 369 6.2 THE CHANGE OF VARIABLES THEOREM 376 6.3 APPLICATIONS 393 6.4 IMPROPER INTEGRALS 406 REVIEW EXERCISES FOR CHAPTER 6 417 INTEGRALS OVER PATHS AND SURFACES 42! 7.1 THE PATH INTEGRAL 421 7.2 LINE INTEGRALS 429 7.3 PARAMETRIZED SURFACES 451 1.4 AREA OF A SURFACE 461 7.5 INTEGRALS OF SCALAR FUNCTIONS OVER SURFACES 474 7.6 SURFACE INTEGRALS OF VECTOR FIELDS 483 1.1 APPLICATIONS TO DIFFERENTIAL GEOMETRY, PHYSICS, AND FORMS OF LIFE 500 REVIEW EXERCISES FOR CHAPTER 7 514 CONTENTS (S THE INTEGRAL I HEOREMS OF VECTOR ANAL)SIS 518 8.1 GREEN S THEOREM 518 8.2 STOKES THEOREM 532 8.3 CONSERVATIVE FIELDS 550 8.4 GAUSS THEOREM 561 8.5 SOME DIFFERENTIAL EQUATIONS OF MECHANICS AND TECHNOLOGY 576 8.6 DIFFERENTIAL FORMS 588 REVIEW EXERCISES FOR CHAPTER 8 605 ANSWERS TO ODD-NUMBERED EXERCISES 609 INDEX 668 ILLUSTRATION CREDITS 676
adam_txt	VECTOR CALCULUS FIFTH EDITION J IT MID L.\. }% LARSDCN CALIFORNIA INSTITUTE OF TECHNOLOGY, PASADENA ANTHONY J. TRORNBA UNIVERSITY OF CALIFORNIA, SANTA CRUZ W. H. FREEMAN AND COMPANY NEW YORK A PREFACE VII HISTORICAL INTRODUCTION XIII 1.1 VECTORS IN TWO- AND THREE-DIMENSIONAL SPACE / 1.2 THE INNER PRODUCT, LENGTH, AND DISTANCE 23 1.3 MATRICES, DETERMINANTS, AND THE CROSS PRODUCT 38 1.4 CYLINDRICAL AND SPHERICAL COORDINATES 65 1.5 ^-DIMENSIONAL EUCLIDEAN SPACE 74 REVIEW EXERCISES FOR CHAPTER 1 88 2.1 THE GEOMETRY OF REAL-VALUED FUNCTIONS 94 2.2 LIMITS AND CONTINUITY 107 2.3 DIFFERENTIATION 127 2.4 INTRODUCTION TO PATHS AND CURVES 141 2.5 PROPERTIES OF THE DERIVATIVE 150 2.6 GRADIENTS AND DIRECTIONAL DERIVATIVES 163 REVIEW EXERCISES FOR CHAPTER 2 173 3.1 ITERATED PARTIAL DERIVATIVES 182 3.2 TAYLOR'S THEOREM 193 3.3 EXTREMA OF REAL-VALUED FUNCTIONS 203 3.4 CONSTRAINED EXTREMA AND LAGRANGE MULTIPLIERS 225 3.5 THE IMPLICIT FUNCTION THEOREM 246 REVIEW EXERCISES FOR CHAPTER 3 255 (-ONTENTS 4 VECTOR-VALUED FUNCTIONS 2( ! * 4.1 ACCELERATION AND NEWTON'S SECOND LAW 261 4.2 ARC LENGTH 274 4.3 VECTOR FIELDS 285 4.4 DIVERGENCE AND CURL 294 REVIEW EXERCISES FOR CHAPTER 4 313 DOUBLE AND TRIPLE INTEGRALS 317 5.1 INTRODUCTION 317 5.2 THE DOUBLE INTEGRAL OVER A RECTANGLE 327 5.3 THE DOUBLE INTEGRAL OVER MORE GENERAL REGIONS 341 5.4 CHANGING THE ORDER OF INTEGRATION 349 5.5 THE TRIPLE INTEGRAL 354 REVIEW EXERCISES FOR CHAPTER 5 365 THE CHANGE OF VARIABLES FORMULA AND APPLICATIONS OF INTEGRATION 368 6.1 THE GEOMETRY OF MAPS FROM M? TO M 2 369 6.2 THE CHANGE OF VARIABLES THEOREM 376 6.3 APPLICATIONS 393 6.4 IMPROPER INTEGRALS 406 REVIEW EXERCISES FOR CHAPTER 6 417 INTEGRALS OVER PATHS AND SURFACES 42! 7.1 THE PATH INTEGRAL 421 7.2 LINE INTEGRALS 429 7.3 PARAMETRIZED SURFACES 451 1.4 AREA OF A SURFACE 461 7.5 INTEGRALS OF SCALAR FUNCTIONS OVER SURFACES 474 7.6 SURFACE INTEGRALS OF VECTOR FIELDS 483 1.1 APPLICATIONS TO DIFFERENTIAL GEOMETRY, PHYSICS, AND FORMS OF LIFE 500 REVIEW EXERCISES FOR CHAPTER 7 514 CONTENTS (S THE INTEGRAL 'I HEOREMS OF VECTOR ANAL)SIS 518 8.1 GREEN'S THEOREM 518 8.2 STOKES' THEOREM 532 8.3 CONSERVATIVE FIELDS 550 8.4 GAUSS' THEOREM 561 8.5 SOME DIFFERENTIAL EQUATIONS OF MECHANICS AND TECHNOLOGY 576 8.6 DIFFERENTIAL FORMS 588 REVIEW EXERCISES FOR CHAPTER 8 605 ANSWERS TO ODD-NUMBERED EXERCISES 609 INDEX 668 ILLUSTRATION CREDITS 676
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spelling	Marsden, Jerrold E. 1942-2010 Verfasser (DE-588)124171141 aut Vector calculus Jerrold E. Marsden ; Anthony J. Tromba 5. ed. New York Freeman 2003 XXVII, 676 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Analyse vectorielle Análisis vectorial Calcul infinitésimal Vectoren (wiskunde) gtt Calculus Vector analysis Vektorrechnung (DE-588)4062471-7 gnd rswk-swf Vektoranalysis (DE-588)4191992-0 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Vektoranalysis (DE-588)4191992-0 s DE-604 Vektorrechnung (DE-588)4062471-7 s 1\p DE-604 Tromba, Anthony J. 1943- Sonstige (DE-588)142684996 oth HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016765532&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Marsden, Jerrold E. 1942-2010 Vector calculus Analyse vectorielle Análisis vectorial Calcul infinitésimal Vectoren (wiskunde) gtt Calculus Vector analysis Vektorrechnung (DE-588)4062471-7 gnd Vektoranalysis (DE-588)4191992-0 gnd
subject_GND	(DE-588)4062471-7 (DE-588)4191992-0 (DE-588)4123623-3
title	Vector calculus
title_auth	Vector calculus
title_exact_search	Vector calculus
title_exact_search_txtP	Vector calculus
title_full	Vector calculus Jerrold E. Marsden ; Anthony J. Tromba
title_fullStr	Vector calculus Jerrold E. Marsden ; Anthony J. Tromba
title_full_unstemmed	Vector calculus Jerrold E. Marsden ; Anthony J. Tromba
title_short	Vector calculus
title_sort	vector calculus
topic	Analyse vectorielle Análisis vectorial Calcul infinitésimal Vectoren (wiskunde) gtt Calculus Vector analysis Vektorrechnung (DE-588)4062471-7 gnd Vektoranalysis (DE-588)4191992-0 gnd
topic_facet	Analyse vectorielle Análisis vectorial Calcul infinitésimal Vectoren (wiskunde) Calculus Vector analysis Vektorrechnung Vektoranalysis Lehrbuch
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016765532&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT marsdenjerrolde vectorcalculus AT trombaanthonyj vectorcalculus

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