Table of contents
Frontmatter
CONTENTS
Preface
About the Author
Chapter 1: Introduction
Chapter 2: Coordinate Systems Definition
Chapter 3: Basis Vectors and Scale Factors
Chapter 4: Contravariant Components and Transformations
Chapter 5: Covariant Components and Transformations
Chapter 6: Physical Components and Transformations
Chapter 7: Tensors—Mixed and Metric
Chapter 8: Metric Tensor Operation on Tensor Indices
Chapter 9: Dot and Cross Products of Tensors
Chapter 10: Gradient Vector Operator—Christoffel Symbols
Chapter 11: Derivative Forms—Curl, Divergence, Laplacian
Chapter 12: Cartesian Tensor Transformation—Rotations
Chapter 13: Coordinate Independent Governing Equations
Chapter 14: Collection of Relations for Selected Coordinate Systems
Chapter 15: Rigid Body Rotation: Euler Angles, Quaternions, and Rotation Matrix
Chapter 16: Worked-out Examples
Chapter 17: Exercise Problems
References
Index
23 chapters available
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PDF ISBN: 978-1-68392-600-9 | E-Pub ISBN: 978-1-68392-599-6 | Hardback ISBN: 978-1-68392-601-6 | DOI: 10.1515/9781683926009
Publisher: Mercury Learning and Information
Copyright owner: © 2020 Walter de Gruyter GmbH, Berlin/Boston
Publication date: 2020
Language: English
Pages: 182