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024 7 $a10.1007/978-1-4614-5868-5
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035   $a(EBL)1082020
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100   $a20121108d2013      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aFunctional analysis in mechanics /$fLeonid P. Lebedev, Iosif I. Vorovich, Michael J. Cloud
205   $a2nd ed.
210   $aNew York $cSpringer$d2013
215   $a1 online resource (315 p.)
225  0$aSpringer monographs in mathematics,$x1439-7382
300   $aDescription based upon print version of record.
311   $a1-4899-9756-3 
311   $a1-4614-5867-6 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- Metric, Banach, and Hilbert Spaces -- Mechanics Problems from the Functional Analysis Viewpoint -- Some Spectral Problems of Mechanics -- Elements of Nonlinear Functional Analysis -- Summary of Inequalities and Imbeddings -- Hints for Selected Problems -- References -- In Memoriam: Iosif I. Vorovich -- Index.-.
330   $aThis book offers a brief, practically complete, and relatively simple introduction to functional analysis. It also illustrates the application of functional analytic methods to the science of continuum mechanics. Abstract but powerful mathematical notions are tightly interwoven with physical ideas in the treatment of nontrivial boundary value problems for mechanical objects.   This second edition includes more extended coverage of the classical and abstract portions of functional analysis. Taken together, the first three chapters now constitute a regular text on applied functional analysis. This potential use of the book is supported by a significantly extended set of exercises with hints and solutions. A new appendix, providing a convenient listing of essential inequalities and imbedding results, has been added.   The book should appeal to graduate students and researchers in physics, engineering, and applied mathematics.   Reviews of first edition:   "This book covers functional analysis and its applications to continuum mechanics. The presentation is concise but complete, and is intended for readers in continuum mechanics who wish to understand the mathematical underpinnings of the discipline. . . . Detailed solutions of the exercises are provided in an appendix." (L?Enseignment Mathematique, Vol. 49 (1-2), 2003)   "The reader comes away with a profound appreciation both of the physics and its importance, and of the beauty of the functional analytic method, which, in skillful hands, has the power to dissolve and clarify these difficult problems as peroxide does clotted blood. Numerous exercises . . . test the reader?s comprehension at every stage. Summing Up: Recommended." (F. E. J. Linton, Choice, September, 2003).
410  0$aSpringer Monographs in Mathematics,$x1439-7382
606   $aFunctional analysis
615  0$aFunctional analysis.
676   $a515.7
700   $aLebedev$b L. P$01089225
701   $aVorovich$b I. I$g(Iosif Izrailevich),$f1920-2001.$01750806
701   $aCloud$b Michael J$041158
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910438136403321
996   $aFunctional analysis in mechanics$94185468
997   $aUNINA