Tensor Analysis for Engineers : : Transformations - Mathematics - Applications /

Tensor Analysis for Engineers : : Transformations - Mathematics - Applications / / Mehrzad Tabatabaian.

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Tensor analysis is used in engineering and science fields. This new edition provides engineers and applied scientists with the tools and techniques of tensor analysis for applications in practical problem solving and analysis activities. It includes expanded content on the application of mechanical...

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Bibliographic Details
VerfasserIn:
Tabatabaian, Mehrzad,
Place / Publishing House:Dulles, VA : : Mercury Learning and Information, , [2023]
©2023
Year of Publication:2023
Language:English
Online Access:
Physical Description:1 online resource (234 p.)
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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: Mechanical Stress Transformation: Analytical and Mohr’s Circle Methods
  • Chapter 17: The Worked Examples
  • Chapter 18: Exercises
  • References
  • Index

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