Synopses & Reviews
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)
Review
From the reviews: "Gekeler (Universität Stuttgart, Germany) offers a quality handbook of advanced mathematical concepts as they apply to mechanics; the level and extent of mathematics presented here is not available in any other mechanics work ... . The volume also covers numerical methods applied to mechanical problems with references to MATLAB code. ... Includes 209 examples and 248 references. Summing Up: Recommended. Graduate students, researchers, and faculty." (J. D. Fehribach, Choice, Vol. 46 (11), July, 2009)
Synopsis
Mathematics is undoubtedly the key to state-of-the-art high technology. It is aninternationaltechnicallanguageandprovestobeaneternallyyoungscience to those who have learned its ways. Long an indispensable part of research thanks to modeling and simulation, mathematics is enjoying particular vit- ity now more than ever. Nevertheless, this stormy development is resulting in increasingly high requirements for students in technical disciplines, while general interest in mathematics continues to wane at the same time. This book and its appendices on the Internet seek to deal with this issue, helping students master the di?cult transition from the receptive to the productive phase of their education. The author has repeatedly held a three-semester introductory course - titled Higher Mathematics at the University of Stuttgart and used a series of "handouts" to show further aspects, make the course contents more motiv- ing, and connect with the mechanics lectures taking place at the same time. One part of the book has more or less evolved from this on its own. True to the original objective, this part treats a variety of separate topics of varying degrees of di?culty; nevertheless, all these topics are oriented to mechanics. Anotherpartofthisbookseekstoo?eraselectionofunderstandablereal- ticmodelsthatcanbeimplementeddirectlyfromthemultitudeofmathema- calresources.TheauthordoesnotattempttohidehispreferenceofNumerical Mathematics and thus places importance on careful theoretical preparation.
Synopsis
Mathematical Auxiliaries.- Numerical Methods.- Optimization.- Variation and Control.- The Road as Goal.- Mass Points and Rigid Bodies.- Rods and Beams.- Continuum Theory.- Finite Elements.- A Survey on Tensor Calculus.- Case Studies.
Synopsis
This book introduces all the mathematical tools necessary for solving complex problems in the field of mechanics. It also contains various applications of mathematical and numerical methods for modeling comprehensive mechanical-technical practical problems.
Table of Contents
Mathematical Tools.- Numerical Methods.- Optimization.- Vibrating with System.- The journey is the reward.- Center of mass and rigid bodies.- Beams and Bars.- Continuum Theory.- Finite Elements.- Introduction to Tensor calculus.- Case Studies and Examples.