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Mathematical Methods for Mechanics

A Handbook with MATLAB Experiments

  • Eckart W. Gekeler

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Eckart W. Gekeler
    Pages 1-77
  3. Eckart W. Gekeler
    Pages 79-142
  4. Eckart W. Gekeler
    Pages 143-192
  5. Eckart W. Gekeler
    Pages 193-240
  6. Eckart W. Gekeler
    Pages 241-300
  7. Eckart W. Gekeler
    Pages 301-357
  8. Eckart W. Gekeler
    Pages 359-386
  9. Eckart W. Gekeler
    Pages 387-434
  10. Eckart W. Gekeler
    Pages 435-502
  11. Eckart W. Gekeler
    Pages 503-559
  12. Eckart W. Gekeler
    Pages 561-576
  13. Eckart W. Gekeler
    Pages 577-598
  14. Back Matter
    Pages 599-624

About this book

Introduction

The interaction between mathematics and mechanics is a never ending source of new developments. Today, challenging problems like space flight, gyroscope motions and tidal currents, can be studied on a laptop, feats that people still in the 1950’s dreamed of accomplishing. The present textbook addresses such problems and moreover, a wide-ranging spectrum of topics from bifurcation theory, optimization and control to rigid-body motion and continuum mechanics of elastic bodies and fluids. It fully encompasses the provision of mathematical tools up to their technical application. Because verifiability is a main element of science and numerical mathematics remain lackluster without demonstrations, a portion of the book is dedicated purely to computations. Due to space limitations the author has transferred this information to his homepage. For each of the covered topics the reader can practice mathematical experiments by using the assortment of Matlab-programs belonging to nearly each chapter. A concise program teaches many technical details in short form and data may be altered ad libitum (learning by doing). The reader will be able to produce each picture or diagram from the book by themselves.

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)

Keywords

MATLAB Mass point Mathematica algorithm algorithms finite elements learning mechanics modeling modelling numerical methods optimization

Editors and affiliations

  • Eckart W. Gekeler
    • 1
  1. 1.Institut für Angewandte Analysis und Numerische Simulation (IANS)Universität StuttgartGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-69279-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-69278-2
  • Online ISBN 978-3-540-69279-9
  • Buy this book on publisher's site