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007 cr nn 008mamaa
008 121026s2013 xxu| s |||| 0|eng d
020 _a9781461458685
_9978-1-4614-5868-5
024 7 _a10.1007/978-1-4614-5868-5
_2doi
050 4 _aQA319-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.7
_223
100 1 _aLebedev, Leonid P.
_eauthor.
245 1 0 _aFunctional Analysis in Mechanics
_h[electronic resource] /
_cby Leonid P. Lebedev, Iosif I. Vorovich, Michael J. Cloud.
250 _a2nd ed. 2013.
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c2013.
300 _aX, 310 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Monographs in Mathematics,
_x1439-7382
505 0 _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.-.
520 _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).
650 0 _aMathematics.
650 0 _aFunctional analysis.
650 0 _aPartial differential equations.
650 0 _aMechanics.
650 0 _aContinuum mechanics.
650 1 4 _aMathematics.
650 2 4 _aFunctional Analysis.
650 2 4 _aPartial Differential Equations.
650 2 4 _aMechanics.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
700 1 _aVorovich, Iosif I.
_eauthor.
700 1 _aCloud, Michael J.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461458678
830 0 _aSpringer Monographs in Mathematics,
_x1439-7382
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-5868-5
912 _aZDB-2-SMA
942 _2Dewey Decimal Classification
_ceBooks
999 _c44484
_d44484