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Variational Methods in Theoretical Mechanics

  • Textbook
  • © 1983

Overview

Part of the book series: Universitext (UTX)

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Table of contents (7 chapters)

Keywords

About this book

This is a textbook written for use in a graduate-level course for students of mechanics and engineering science. It is designed to cover the essential features of modern variational methods and to demonstrate how a number of basic mathematical concepts can be used to produce a unified theory of variational mechanics. As prerequisite to using this text, we assume that the student is equipped with an introductory course in functional analysis at a level roughly equal to that covered, for example, in Kolmogorov and Fomin (Functional Analysis, Vol. I, Graylock, Rochester, 1957) and possibly a graduate-level course in continuum mechanics. Numerous references to supplementary material are listed throughout the book. We are indebted to Professor Jim Douglas of the University of Chicago, who read an earlier version of the manuscript and whose detailed suggestions were extremely helpful in preparing the final draft. We also gratefully acknowedge that much of our own research work on va ri at i ona 1 theory was supported by the U. S. Ai r Force Offi ce of Scientific Research. We are indebted to Mr. Ming-Goei Sheu for help in proofreading. Finally, we wish to express thanks to Mrs. Marilyn Gude for her excellent and painstaking job of typing the manuscript. This revised edition contains only minor revisions of the first. Some misprints and errors have been corrected, and some sections were deleted, which were felt to be out of date.

Authors and Affiliations

  • The Texas Institute for Computational Mechanics, University of Texas at Austin, Austin, USA

    John T. Oden

  • Department of Engineering Science and Mechanics, Virginia Polytechnic Institute and State University, Blacksburg, USA

    Junuthula N. Reddy

Bibliographic Information

  • Book Title: Variational Methods in Theoretical Mechanics

  • Authors: John T. Oden, Junuthula N. Reddy

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-3-642-68811-9

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1983

  • Softcover ISBN: 978-3-540-11917-3Published: 01 November 1982

  • eBook ISBN: 978-3-642-68811-9Published: 06 December 2012

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 2

  • Number of Pages: XII, 310

  • Topics: Theoretical, Mathematical and Computational Physics, Theoretical and Applied Mechanics

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