Techniques of Functional Analysis for Differential and Integral Equations (Mathematics in Science and Engineering) - Softcover

Sacks, Paul

Softcover

ISBN 10: 0128114266 ISBN 13: 9780128114261

Publisher: Academic Press, 2017

Synopsis

Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations, and especially partial differential equations. Knowledge of these techniques is particularly useful as preparation for graduate courses and as PhD research preparation in differential equations and numerical analysis, and more specialized topics such as fluid dynamics and control theory. Striking a balance between mathematical depth and accessibility, proofs are limited, and their sources precisely identifie d, proofs involving more technical aspects of measure and integration theory are avoided, but clear statements and precise alternative references are given . The work provides many examples and exercises drawn from the literature.

About this title

Review

An accessible introduction to the functional analysis techniques increasingly used across modeling, analysis and scientific computation applications

From the Back Cover

Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations and partial differential equations. Knowledge of these techniques is particularly useful as preparation for graduate courses and PhD research in differential equations and numerical analysis, and more specialized topics such as fluid dynamics and control theory. Striking a balance between mathematical depth and accessibility, proofs involving more technical aspects of measure and integration theory are avoided, but clear statements and precise alternative references are given . The work provides many examples and exercises drawn from the literature.

• Provides an introduction to mathematical techniques widely used in applied mathematics and needed for advanced research in ordinary and partial differential equations, integral equations, numerical analysis, fluid dynamics and other areas.
• Establishes the advanced background needed for sophisticated literature review and research in differential equations and integral equations.
• Suitable for use as a textbook for a two semester graduate level course for M.S. and Ph.D. students in Mathematics and Applied Mathematics

About the Author

Professor Paul Sacks received his B.S. degree from Syracuse University and M.S. and Ph.D. degrees from the University of Wisconsin-Madison, all in Mathematics. Since 1981 he has been in the Mathematics department at Iowa State University, as Full Professor since 1990. He is particularly interested in partial differential equations and inverse problems. He is the author or co-author of more than 60 scientific articles and conference proceedings. For thirty years he has regularly taught courses in analysis, differential equations and methods of applied mathematics for mathematics graduate students.

About Mathematics in Science and Engineering

Series Editor: Goong Chen

Editorial Board: Helene Frankowska, Jordi Boronat Medico, Vicentiu Radulescu, Ulrich Stadtmüller, Stephen Wiggins, Pengfei Yao

This book series provides scientists and engineers with useful works in applied, computational and nonlinear mathematics and mechanics. The series focuses thematically on areas of interdisciplinary interest, particularly those based in nonlinear science. Volumes address modeling and use modern computational techniques. Contemporary problems and solutions are targeted throughout.

Edition details

• Publisher: Academic Press
• Publication date: 2017
• ISBN 10: 0128114266
• ISBN 13: 9780128114261
• Binding: Paperback
• Language: English
• Number of pages: 320