Lecture Notes in Applied Mathematics and Mechanics

The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering

Editors: Stein, Erwin (Ed.)

  • Comprehensive presentation of the History of Theoretical, Material and Computational Mechanics
  • Presents the edited results of the sessions on History of Mechanics held at the last GAMM meetings at Karlsruhe, Germany (2010), Graz, Austria (2011) and Darmstadt, Germany (2012)
  • Written by leading experts in the field
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About this book

This collection of 23 articles is the output of lectures in special sessions on “The History of Theoretical, Material and Computational Mechanics” within the yearly conferences of the GAMM in the years 2010 in Karlsruhe, Germany, 2011 in Graz, Austria, and in 2012 in Darmstadt, Germany; GAMM is the “Association for Applied Mathematics and Mechanics”, founded in 1922 by Ludwig Prandtl and Richard von Mises. The contributions in this volume discuss different aspects of mechanics. They are related to solid and fluid mechanics in general and to specific problems in these areas including the development of numerical solution techniques. In the first part the origins and developments of conservation principles in mechanics and related variational methods are treated together with challenging applications from the 17th to the 20th century. Part II treats general and more specific aspects of material theories of deforming solid continua and porous soils. and Part III presents important theoretical and engineering developments in fluid mechanics, beginning with remarkable inventions in old Egypt, the still dominating role of the Navier-Stokes PDEs for fluid flows and their complex solutions for a wide field of parameters as well as the invention of pumps and turbines in the 19th and 20th century. The last part gives a survey on the development of direct variational methods – the Finite Element Method – in the 20th century with many extensions and generalizations.

 

Table of contents (23 chapters)

  • The Origins of Mechanical Conservation Principles and Variational Calculus in the 17th Century

    Stein, Erwin

    Pages 3-22

  • Principles of Least Action and of Least Constraint

    Ramm, Ekkehard

    Pages 23-43

  • Lagrange’s “Récherches sur la libration de la lune”

    Bremer, Hartmut

    Pages 45-59

  • The Development of Analytical Mechanics by Euler, Lagrange and Hamilton – From a Student’s Point of View

    Gerstner, Maximilian (et al.)

    Pages 61-72

  • Heun and Hamel – Representatives of Mechanics around 1900

    Bremer, Hartmut

    Pages 73-80

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-642-39905-3
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $179.00
price for USA
  • ISBN 978-3-642-39904-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
The History of Theoretical, Material and Computational Mechanics - Mathematics Meets Mechanics and Engineering
Editors
  • Erwin Stein
Series Title
Lecture Notes in Applied Mathematics and Mechanics
Series Volume
1
Copyright
2014
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-39905-3
DOI
10.1007/978-3-642-39905-3
Softcover ISBN
978-3-642-39904-6
Series ISSN
2197-6724
Edition Number
1
Number of Pages
XIV, 490
Number of Illustrations and Tables
231 b/w illustrations, 80 illustrations in colour
Topics