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Tensor analysis and elementary differential geometry for physicists and engineers / Hung Nguyen-Schafer and Jan-Philip Schmidt.

By: Contributor(s): Material type: TextTextSeries: Mathematical engineering ; v 21.Publication details: Berlin : Springer-Verlag, 2014.Description: xiii, 241 p. ; illISBN:
  • 9783662434437
Subject(s): DDC classification:
  • 515.63 23 N576
Contents:
1. General Basis and Bra-Ket Notation -- 2. Tensor Analysis -- 3. Elementary Differential Geometry -- 4. Applications of Tensors and Differential Geometry -- Appendices-- Index. Appendices.
Summary: This book comprehensively presents topics, such as bra-ket notation, tensor analysis, and elementary differential geometry of a moving surface. Moreover, authors intentionally abstain from giving mathematically rigorous definitions and derivations that are however dealt with as precisely as possible. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors and differential geometry and to use them in the physical and engineering world. The target audience primarily comprises graduate students in physics and engineering, research scientists, and practicing engineers.
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Includes index.

1. General Basis and Bra-Ket Notation --
2. Tensor Analysis --
3. Elementary Differential Geometry --
4. Applications of Tensors and Differential Geometry --
Appendices--
Index.
Appendices.

This book comprehensively presents topics, such as bra-ket notation, tensor analysis, and elementary differential geometry of a moving surface. Moreover, authors intentionally abstain from giving mathematically rigorous definitions and derivations that are however dealt with as precisely as possible. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors and differential geometry and to use them in the physical and engineering world. The target audience primarily comprises graduate students in physics and engineering, research scientists, and practicing engineers.

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