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Functional Analysis in Mechanics 2013 Edition
Contributor(s): Lebedev, Leonid P. (Author), Vorovich, Iosif I. (Author), Cloud, Michael J. (Author)
ISBN: 1461458676     ISBN-13: 9781461458678
Publisher: Springer
OUR PRICE:   $104.49  
Product Type: Hardcover - Other Formats
Published: October 2012
Qty:
Additional Information
BISAC Categories:
- Mathematics | Differential Equations - General
- Mathematics | Functional Analysis
- Technology & Engineering | Mechanical
Dewey: 515.353
LCCN: 2012950048
Series: Springer Monographs in Mathematics
Physical Information: 0.75" H x 6.14" W x 9.21" (1.38 lbs) 310 pages
 
Descriptions, Reviews, Etc.
Publisher Description:

This book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract but powerful mathematical notions are tightly interwoven with physical ideas in the treatment of nontrivial boundary value problems for mechanical objects.

This second edition includes more extended coverage of the classical and abstract portions of functional analysis. Taken together, the first three chapters now constitute a regular text on applied functional analysis. This potential use of the book is supported by a significantly extended set of exercises with hints and solutions. A new appendix, providing a convenient listing of essential inequalities and imbedding results, has been added.

The book should appeal to graduate students and researchers in physics, engineering, and applied mathematics.

Reviews of first edition:

"This book covers functional analysis and its applications to continuum mechanics. The presentation is concise but complete, and is intended for readers in continuum mechanics who wish to understand the mathematical underpinnings of the discipline. ... Detailed solutions of the exercises are provided in an appendix." (L'Enseignment Mathematique, Vol. 49 (1-2), 2003)

"The reader comes away with a profound appreciation both of the physics and its importance, and of the beauty of the functional analytic method, which, in skillful hands, has the power to dissolve and clarify these difficult problems as peroxide does clotted blood. Numerous exercises ... test the reader's comprehension at every stage. Summing Up: Recommended." (F. E. J. Linton, Choice, September, 2003)