Vector calculus:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Freeman
2003
|
| Ausgabe: | 5. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XXVII, 676 S. Ill., graph. Darst. |
| ISBN: | 0716749920 9780716749929 |
Internformat
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| 245 | 1 | 0 | |a Vector calculus |c Jerrold E. Marsden ; Anthony J. Tromba |
| 250 | |a 5. ed. | ||
| 264 | 1 | |a New York |b Freeman |c 2003 | |
| 300 | |a XXVII, 676 S. |b Ill., graph. Darst. | ||
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| 500 | |a Includes bibliographical references and index | ||
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| 650 | 4 | |a Análisis vectorial | |
| 650 | 4 | |a Calcul infinitésimal | |
| 650 | 7 | |a Vectoren (wiskunde) |2 gtt | |
| 650 | 4 | |a Calculus | |
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Datensatz im Suchindex
| _version_ | 1804138057827352577 |
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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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| edition | 5. ed. |
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| language | English |
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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 |
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