<p>Comprehensive and easy-to-understand, this innovative textbook progresses from the essentials of preparatory mathematics to sophiisticated functional analysis. This text has few mathematical prerequisites and provides the fundamental concepts and therorems essential to mathematical analysis and modeling</p>

Applied functional analysis: A first course for students of mechanics and engineering science (Civil engineering and engineering mechanics series)

Science & Math

J. Tinsley Oden

Mathematics

PRENTICE/HALL

Finite Elements Volume VI: Fluid Mechanics (Texas Finite Element Series) (v. 6)

Physics

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 Some misprints and errors have been corrected, and some sections were deleted, which were felt to be out of date.

Variational methods in theoretical mechanics (Universitext)

Springer, Verlag

Applied Functional Analysis (Computational Mechanics and Applied Mathematics)

CRC-Press

An Introduction to Mathematical Modeling: A Course in Mechanics

wiley

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Books by J. Tinsley Oden