Tensor Analysis on Manifolds

Häftad, Engelska, 2003

AvRichard L. Bishop,Samuel I. Goldberg,Bishop

229 kr

Beställningsvara. Skickas inom 7-10 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.

Proceeds from general to special, including chapters on vector analysis on manifolds and integration theory.

Produktinformation

Utgivningsdatum2003-03-28
Mått140 x 210 x 15 mm
Vikt290 g
FormatHäftad
SpråkEngelska
SerieDover Books on Mathema 1.4tics
Antal sidor288
FörlagDover Publications Inc.
ISBN9780486640396

Tillhör följande kategorier

Beräkning och matematisk analys inom Naturvetenskap och teknik

Chapter 0/Set Theory and Topology0.1. SET THEORY0.1.1. Sets0.1.2. Set Operations0.1.3. Cartesian Products0.1.4. Functions0.1.5. Functions and Set Operations0.1.6. Equivalence Relations0.2. TOPOLOGY0.2.1. Topologies0.2.2. Metric Spaces0.2.3. Subspaces0.2.4. Product Topologies0.2.5. Hausdorff Spaces0.2.6. Continuity0.2.7. Connectedness0.2.8. Compactness0.2.9. Local Compactness0.2.10. Separability0.2.11 ParacompactnessChapter 1/Manifolds1.1. Definition of a Mainifold1.2. Examples of Manifolds1.3. Differentiable Maps1.4. Submanifolds1.5. Differentiable Maps1.6. Tangents1.7. Coordinate Vector Fields1.8. Differential of a MapChapter 2/Tensor Algebra2.1. Vector Spaces2.2. Linear Independence2.3. Summation Convention2.4. Subspaces2.5. Linear Functions2.6. Spaces of Linear Functions2.7. Dual Space2.8. Multilinear Functions2.9. Natural Pairing2.10. Tensor Spaces2.11. Algebra of Tensors2.12. Reinterpretations2.13. Transformation Laws2.14. Invariants2.15. Symmetric Tensors2.16. Symmetric Algebra2.17. Skew-Symmetric Tensors2.18. Exterior Algebra2.19. Determinants2.20. Bilinear Forms2.21. Quadratic Forms2.22. Hodge Duality2.23. Symplectic FormsChapter 3/Vector Analysis on Manifolds3.1. Vector Fields3.2. Tensor Fields3.3. Riemannian Metrics3.4. Integral Curves3.5. Flows3.6. Lie Derivatives3.7. Bracket3.8. Geometric Interpretation of Brackets3.9. Action of Maps3.10. Critical Point Theory3.11. First Order Partial Differential Equations3.12. Frobenius' TheoremAppendix to Chapter 33A. Tensor Bundles3B. Parallelizable Manifolds3C. OrientabilityChapter 4/Integration Theory4.1. Introduction4.2. Differential Forms4.3. Exterior Derivatives4.4. Interior Products4.5. Converse of the Poincaré Lemma4.6. Cubical Chains4.7. Integration on Euclidean Spaces4.8. Integration of Forms4.9. Strokes' Theorem4.10. Differential SystemsChapter 5/Riemannian and Semi-riemannian Manifolds5.1. Introduction5.2. Riemannian and Semi-riemannian Metrics5.3. "Lengeth, Angle, Distance, and Energy"5.4. Euclidean Space5.5. Variations and Rectangles5.6. Flat Spaces5.7. Affine connexions5.8 Parallel Translation5.9. Covariant Differentiation of Tensor Fields5.10. Curvature and Torsion Tensors5.11. Connexion of a Semi-riemannian Structure5.12. Geodesics5.13. Minimizing Properties of Geodesics5.14. Sectional CurvatureChapter 6/Physical Application6.1 Introduction6.2. Hamiltonian Manifolds6.3. Canonical Hamiltonian Structure on the Cotangent Bundle6.4. Geodesic Spray of a Semi-riemannian Manifold6.5. Phase Space6.6. State Space6.7. Contact Coordinates6.8. Contact ManifoldsBibliographyIndex

Mer från samma författare

Geometry of Manifolds

Richard L. Bishop, Richard J. Crittenden

Inbunden

1 079 kr

Mer från samma serie

Advanced Calculus of Several Variables

C. H. Edwards, C H Edwards

Häftad

409 kr

Foundations of Modern Analysis

Avner Friedman

Häftad

179 kr

Numerical Methods

Germund Dahlquist, Åke Björck

Häftad

279 kr

General Topology

Stephen Willard

Häftad

279 kr

Introduction to Topology

T. W. Gamelin, Robert Everist Greene, Theodore W. Gamelin, Theodore W Gamelin

Häftad

219 kr

Advanced Trigonometry

C.V. Durell, C. V. Durell, A. Robson, C V Durell

Häftad

269 kr

Introduction to Graph Theory

Richard J. Trudeau, Richard J Trudeau

Häftad

179 kr

Vector and Tensor Analysis with Applications

A. I. Borisenko, I. E. Tarapov, Borisenko

Häftad

179 kr

The Philosophy of Set Theory

Mary Tiles

Häftad

259 kr

Challenging Problems in Algebra

Alfred S. Posamentier, C. T. Salkind, Charles T. Salkind

Häftad

189 kr

Du kanske också är intresserad av

Geometry of Manifolds

Richard L. Bishop, Richard J. Crittenden

Inbunden

1 079 kr

Primary Sources, Historical Collections

Isabella Lucy Bird, Bishop, Isabella L Bird, Isabella L. Bird

Inbunden

549 kr

Rhabdoviruses

Bishop

Inbunden

3 459 kr

Elizabeth's Song

Bishop, David a. Bishop, Dr. David A. Bishop, David A. Bishop

Häftad

229 kr

The Regulatory Challenge

Kay Mayer Bishop, Bishop, Kay, Mayer, Colin Mayer, John A. Kay

Häftad

939 kr

The Presence of the Past

Daniel Bishop, Indiana University) Bishop, Daniel (Adjunct Assistant Professor of Music, Adjunct Assistant Professor of Music, BISHOP, Bishop

Inbunden

2 129 kr

Cooking Around the World All-in-One For Dummies

Mary Sue Milliken, Susan Feniger, Helene Siegel, Cesare Casella, Jack Bishop, Tom Lacalamita, Heather Heath, Martin Yan, Dede Wilson, Joan H. Moravek, Kristin Eddy, Yan, Bishop, Casella

Häftad

309 kr

Del 4

Separations and Reactions in Organic Supramolecular Chemistry

Toda, Bishop, Fumio Toda, Roger Bishop

Inbunden

3 949 kr

My Journey to America

Bishop

Häftad

249 kr

Something Sweet

Jack Bishop, Bishop

Häftad

229 kr

Tensor Analysis on Manifolds

Produktinformation

Tillhör följande kategorier

Innehållsförteckning

Mer från samma författare

Mer från samma serie

Du kanske också är intresserad av

Loading component...

Loading component...

Tensor Analysis on Manifolds

Produktinformation

Tillhör följande kategorier

Innehållsförteckning

Mer från samma författare

Mer från samma serie

Du kanske också är intresserad av

Akademibokhandeln

Hjälp

Tjänster

Erbjudanden

Inspiration