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An Expedition to Continuum Theory

  • Book
  • © 2014

Overview

  • Contains many examples and problems
  • Teaches continuum theory from a holistic point of view
  • Encompasses the mechanics of solids and fluids as well as electromagnetic aspects of the behavior of matter
  • Teaches tensor algebra and tensor calculus from an applied point of view
  • Includes supplementary material: sn.pub/extras

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 210)

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Table of contents (13 chapters)

Keywords

About this book

This book introduces field theory as required in solid and fluid mechanics as well as in electromagnetism. It includes the necessary applied mathematical framework of tensor algebra and tensor calculus, using an inductive approach particularly suited to beginners. It is geared toward undergraduate classes in continuum theory for engineers in general, and more specifically to courses in continuum mechanics. Students will gain a sound basic understanding of the subject as well as the ability to solve engineering problems by applying the general laws of nature in terms of the balances for mass, momentum, and energy in combination with material-specific relations in terms of constitutive equations, thus learning how to use the theory in practice for themselves. This is facilitated by numerous examples and problems provided throughout the text.

Reviews

“This book is a true experience, and I felt real pleasure in reading it. … I warmly recommend this book to all graduate and PhD students, as well as to young and even less young researchers who want to enter the world of continuum field theory. It is true help in understanding the basic aspects and results of the subject and acquiring solid bases for continuing the study of this discipline further.” (Paolo Vannucci, Mathematical Reviews, June,2017)


“The book provides a lucid account on the subject of continuum mechanics illustrating various fields of application for undergraduate and graduate students of engineering and physics. … this book, for providing vision and insight and providing a bridge between various subjects, can be recommended to students and teachers as well as to anyone interested in continuum mechanics.” (M. Cengiz Dökmeci, zbMATH 1328.74001, 2016)

Authors and Affiliations

  • Institute of Mechanics, Technical University of Berlin, Berlin, Germany

    Wolfgang H. Müller

Bibliographic Information

  • Book Title: An Expedition to Continuum Theory

  • Authors: Wolfgang H. Müller

  • Series Title: Solid Mechanics and Its Applications

  • DOI: https://doi.org/10.1007/978-94-007-7799-6

  • Publisher: Springer Dordrecht

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Science+Business Media Dordrecht 2014

  • Hardcover ISBN: 978-94-007-7798-9Published: 28 January 2014

  • Softcover ISBN: 978-94-024-0533-0Published: 17 September 2016

  • eBook ISBN: 978-94-007-7799-6Published: 18 January 2014

  • Series ISSN: 0925-0042

  • Series E-ISSN: 2214-7764

  • Edition Number: 1

  • Number of Pages: XIII, 399

  • Number of Illustrations: 129 b/w illustrations, 32 illustrations in colour

  • Topics: Theoretical and Applied Mechanics, Classical and Continuum Physics, Materials Science, general

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