Vector and tensor analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Dekker
1978
|
| Schriftenreihe: | Pure and applied mathematics
48 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 526 S. graph. Darst. |
| ISBN: | 0824766717 |
Internformat
MARC
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| 300 | |a IX, 526 S. |b graph. Darst. | ||
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| 490 | 1 | |a Pure and applied mathematics |v 48 | |
| 650 | 4 | |a Calculus of tensors | |
| 650 | 4 | |a Vector analysis | |
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
PREFACE V
CHAPTER 1. VECTOR ALGEBRA 1
1.1 Introduction 1.2 Definition of a Vector
1.3 Geometric Representation of a Vector 1.4 Addition
and Multiplication by Scalars 1.5 Some Applications
in Geometry 1.6 Scalar Product 1.7 Vector Product
1.8 Equations of Lines and Planes 1.9 Scalar and
Vector Triple Products
CHAPTER 2. DIFFERENTIAL CALCULUS OF VECTOR FUNCTIONS
OF ONE VARIABLE 67
2.1 Vector Functions of a Real Variable 2.2 Algebra
of Vector Functions 2.3 Limits, Continuity, and
Derivatives 2.4 Space Curves and Tangent Vectors
2.5 Arc Length as a Parameter 2.6 Curvature,
Principal Normal and Binormal Vectors 2.7 Torsion
and Frenet Serret Formulas 2.8 Applications to
Curvilinear Motions 2.9 Velocity and Acceleration
in Polar Coordinates 2.10 Cylindrical and Spherical
Coordinates
vii
viii Contents
CHAPTER 3. DIFFERENTIAL CALCULUS OF SCALAR AND VECTOR FIELDS 137
3.1 Scalar and Vector Fields 3.2 Algebra of Vector
Fields 3.3 Directional Derivative of a Scalar Field
3.4 Gradient of a Scalar Field 3.5 Directional
Derivative of a Vector Field 3.6 Divergence of a
Vector Field 3.7 Curl of a Vector Field 3.8 Other
Properties of the Divergence and the Curl
3.9 Transformations of Rectangular Cartesian Coordinate
Systems 3.10 Invariance of the Gradient, the
Divergence, and the Curl 3.11 Curvilinear Coordinate
Systems 3.12 Gradient, Divergence, and Curl in
Orthogonal Curvilinear Coordinate Systems
CHAPTER 4. INTEGRAL CALCULUS OF SCALAR AND VECTOR FIELDS 221
4.1 Line Integrals of Scalar Fields 4.2 Line Integrals
of Vector Fields 4.3 Properties of Line Integrals
4.4 Line Integrals Independent of the Path 4.5 Test
for Independence of the Path 4.6 Green s Theorem on
the Plane 4.7 Green s Theorem in a Multiply Connected
Domain 4.8 Parametric Representation, Smooth and
Orientable Surfaces 4.9 Surface Area 4.10 Surface
Integrals 4.11 The Divergence (Gauss ) Theorem
4.12 Applications of the Divergence Theorem
4.13 Stokes Theorem 4.14 Applications of Stokes
Theorem
CHAPTER 5. TENSORS IN RECTANGULAR CARTESIAN COORDINATE
SYSTEMS 331
5.1 Introduction 5.2 Notations and Summation
Convention 5.3 Transformation Law for Vectors
5.4 Cartesian Tensors 5.5 Stress Tensor
5.6 Algebra of Cartesian Tensors 5.7 Principal
Axes of Second Order Tensors 5.8 Differentiation
of Cartesian Tensor Fields 5.9 Strain Tensor
Contents ix
CHAPTER 6. TENSORS IN GENERAL COORDINATES 391
6.1 Oblique Cartesian Coordinates 6.2 Transforma¬
tions of Oblique Coordinate Systems 6.3 Tensors in
Oblique Cartesian Coordinate Systems 6.4 Algebra of
Tensors in Oblique Coordinates 6.5 The Metric Tensor
6.6 Transformations of Curvilinear Coordinates; Local
Bases 6.7 General Tensors 6.8 Covariant Derivative
of a Vector 6.9 Transformation of Christoffel
Symbols; Relation with the Metric Tensor
6.10 Covariant Derivative of Tensors 6.11 Gradient,
Divergence, Laplacian, and Curl in General Coordinates
6.12 Equations of Motion of a Particle
SOLUTIONS TO SELECTED PROBLEMS 483
INDEX 523
|
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| id | DE-604.BV002258554 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:42:55Z |
| institution | BVB |
| isbn | 0824766717 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001484231 |
| oclc_num | 3845185 |
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| physical | IX, 526 S. graph. Darst. |
| publishDate | 1978 |
| publishDateSearch | 1978 |
| publishDateSort | 1978 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Young, Eutiquio C. Verfasser aut Vector and tensor analysis Eutiquio C. Young New York [u.a.] Dekker 1978 IX, 526 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 48 Calculus of tensors Vector analysis Tensoranalysis (DE-588)4204323-2 gnd rswk-swf Vektoranalysis (DE-588)4191992-0 gnd rswk-swf Vektoranalysis (DE-588)4191992-0 s DE-604 Tensoranalysis (DE-588)4204323-2 s Pure and applied mathematics 48 (DE-604)BV000001885 48 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001484231&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Young, Eutiquio C. Vector and tensor analysis Pure and applied mathematics Calculus of tensors Vector analysis Tensoranalysis (DE-588)4204323-2 gnd Vektoranalysis (DE-588)4191992-0 gnd |
| subject_GND | (DE-588)4204323-2 (DE-588)4191992-0 |
| title | Vector and tensor analysis |
| title_auth | Vector and tensor analysis |
| title_exact_search | Vector and tensor analysis |
| title_full | Vector and tensor analysis Eutiquio C. Young |
| title_fullStr | Vector and tensor analysis Eutiquio C. Young |
| title_full_unstemmed | Vector and tensor analysis Eutiquio C. Young |
| title_short | Vector and tensor analysis |
| title_sort | vector and tensor analysis |
| topic | Calculus of tensors Vector analysis Tensoranalysis (DE-588)4204323-2 gnd Vektoranalysis (DE-588)4191992-0 gnd |
| topic_facet | Calculus of tensors Vector analysis Tensoranalysis Vektoranalysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001484231&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
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