Leonid P Lebedev

(Author)

Functional Analysis in Mechanics (2013)Paperback - 2013, 9 November 2014

Functional Analysis in Mechanics (2013)
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Part of Series
Springer Monographs in Mathematics
Print Length
310 pages
Language
English
Publisher
Springer PG
Date Published
9 Nov 2014
ISBN-10
1489997563
ISBN-13
9781489997562

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)

Product Details

Authors:
Leonid P LebedevIosif I VorovichMichael J Cloud
Book Edition:
2013
Book Format:
Paperback
Country of Origin:
NL
Date Published:
9 November 2014
Dimensions:
23.39 x 15.6 x 1.7 cm
Genre:
Science/Technology Aspects
ISBN-10:
1489997563
ISBN-13:
9781489997562
Language:
English
Location:
New York, NY
Pages:
310
Publisher:
Weight:
449.06 gm

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