Eckart W. Gekeler3540302670, 978-3-540-30267-4
The interaction between mathematics and mechanics 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, control and continuum mechanics of elastic bodies and fluids. For each of the covered topics the reader can practice mathematical experiments by using a large assortment of Matlab-programs which are available on the author’s homepage. The self-contained and clear presentation including Matlab is often useful to teach technical details by the program itself (learning 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 problems in the field of mechanics. The mathematics- oriented reader will find various applications of mathematical and numerical methods for modelling comprehensive mechanical-technical practical problems. Therefore this book will be interesting not only for students of various fields but also for practitioners, development engineers or mathematicians” (Hans Bufler, in: Zentralblatt MATH, 2007, Vol. 1100, Issue 2) |
Table of contents :
cover……Page 1
Mathematical Methodsfor Mechanics……Page 3
Preface……Page 5
Contents……Page 9
1 Mathematical Auxiliaries……Page 17
2 Numerical Methods……Page 94
3 Optimization……Page 158
4 Variation and Control……Page 208
5 The Road as Goal……Page 256
6 Mass Points and Rigid Bodies……Page 316
7 Rods and Beams……Page 373
8 Continuum Theory……Page 401
9 Finite Elements……Page 449
10 A Survey on Tensor Calculus……Page 517
11 Case Studies……Page 574
12 Appendix……Page 590
References……Page 612
Index……Page 623 |
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