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Mathematical Methods for Mechanics - Eckart W. Gekeler

Mathematical Methods for Mechanics

A Handbook with MATLAB Experiments
Buch | Softcover
XVI, 624 Seiten
2010 | 1. Softcover reprint of hardcover 1st ed. 2008
Springer Berlin (Verlag)
978-3-642-08877-3 (ISBN)
CHF 179,95 inkl. MwSt
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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.

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.

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.

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)

Erscheint lt. Verlag 15.10.2010
Zusatzinfo XVI, 624 p. 218 illus.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 950 g
Themenwelt Mathematik / Informatik Mathematik Wahrscheinlichkeit / Kombinatorik
Technik Maschinenbau
Schlagworte algorithm • algorithms • Bifurcation • Continuum Mechanics • Control • Elastic Bodies • finite elements • learning • Mass point • Mathematica • Mathematical Methods • MATLAB • Mechanics • Modeling • Modelling • Numerical Methods • Optimization
ISBN-10 3-642-08877-5 / 3642088775
ISBN-13 978-3-642-08877-3 / 9783642088773
Zustand Neuware
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