Mathematical Methods for Mechanics – Eckart W. Gekeler – 1st Edition

Description

The interaction between mathematics and is a never ending source of new developments. This present textbook includes a wide –ranging spectrum of topics from the three body problem and gyroscope theory to bifurcation theory, optimization, and continuum mechanics of elastic bodies and fluids.

For each of the covered topics the reader can practice mathematical by using a large assortment of Matlab-programs which are available on the author’s homepage. The self-contained and clear presentation Matlab is often useful to teach technical details by the program itself ( by doing), which was not possible by just presenting the formula in the past.

The reader will be able to produce each picture or diagram from the book by themselves and to arbitrarily alter the data or algorithms. Recent Review of the German edition ‘This book introduces the engineering-oriented reader to all the mathematical tools necessary for solving complex in the field of mechanics. The mathematics- oriented reader will find various applications of mathematical and numerical for modelling comprehensive -technical practical problems.

Table of Content



  1. Mathematical Auxiliaries.
  2. Numerical Methods.
  3. Optimization.
  4. Variation and Control.
  5. The Road as Goal.
  6. Mass Points and Rigid Bodies.
  7. Rods and Beams.
  8. Continuum Theory.
  9. Finite Elements.
  10. A Survey on Tensor Calculus.
  11. Case Studies.


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