Tensor Analysis and Continuum Mechanics

Released on by Wilhelm Flügge
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  • Tensor Analysis and Continuum Mechanics Book Detail

  • Author : Wilhelm Flügge
  • Release Date : 2013-11-11
  • Publisher : Springer Science & Business Media
  • Genre : Science
  • Pages : 215
  • ISBN 13 : 3642883826
  • File Size : 85,85 MB
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Tensor Analysis and Continuum Mechanics by Wilhelm Flügge PDF Summary

Book Description: Through several centuries there has been a lively interaction between mathematics and mechanics. On the one side, mechanics has used mathemat ics to formulate the basic laws and to apply them to a host of problems that call for the quantitative prediction of the consequences of some action. On the other side, the needs of mechanics have stimulated the development of mathematical concepts. Differential calculus grew out of the needs of Newtonian dynamics; vector algebra was developed as a means . to describe force systems; vector analysis, to study velocity fields and force fields; and the calcul~s of variations has evolved from the energy principles of mechan ics. In recent times the theory of tensors has attracted the attention of the mechanics people. Its very name indicates its origin in the theory of elasticity. For a long time little use has been made of it in this area, but in the last decade its usefulness in the mechanics of continuous media has been widely recognized. While the undergraduate textbook literature in this country was becoming "vectorized" (lagging almost half a century behind the development in Europe), books dealing with various aspects of continuum mechanics took to tensors like fish to water. Since many authors were not sure whether their readers were sufficiently familiar with tensors~ they either added' a chapter on tensors or wrote a separate book on the subject.

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Tensor Analysis and Continuum Mechanics

Tensor Analysis and Continuum Mechanics

File Size : 81,81 MB
Total View : 4789 Views
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Through several centuries there has been a lively interaction between mathematics and mechanics. On the one side, mechanics has used mathemat ics to formulate t

Tensor Analysis and Continuum Mechanics

Tensor Analysis and Continuum Mechanics

File Size : 83,83 MB
Total View : 4492 Views
DOWNLOAD

This book is designed for students in engineering, physics and mathematics. The material can be taught from the beginning of the third academic year. It could a