000 04186nam a22004577a 4500
001 sulb-eb0021055
003 BD-SySUS
005 20160413122128.0
007 cr nn 008mamaa
008 130905s2013 xxu| s |||| 0|eng d
020 _a9780817646523
_9978-0-8176-4652-3
024 7 _a10.1007/978-0-8176-4652-3
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
082 0 4 _a510
_223
100 1 _aSaichev, Alexander I.
_eauthor.
245 1 0 _aDistributions in the Physical and Engineering Sciences, Volume 2
_h[electronic resource] :
_bLinear and Nonlinear Dynamics in Continuous Media /
_cby Alexander I. Saichev, Wojbor A. Woyczynski.
246 3 _aVolume 2
264 1 _aNew York, NY :
_bSpringer New York :
_bImprint: Birkhäuser,
_c2013.
300 _aXXIV, 409 p. 144 illus., 18 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aApplied and Numerical Harmonic Analysis,
_x2296-5009
505 0 _aIII POTENTIALS, DIFFUSIONS AND WAVES -- 9 Potential Theory and Fundamental Solutions of Elliptic Equations -- 10 Diffusions and Parabolic Evolution Equations -- 11 Waves and Hyperbolic Equations -- 12 First Order Nonlinear PDEs and Conservation Laws -- 13 Generalized Solutions of First Order Nonlinear PDEs -- 14 Nonlinear waves and growing interfaces: 1-D Burgers-KPZ models -- 15 Other Standard Nonlinear Models of Higher Order -- Appendix A: Answers and Solutions -- Appendix B: Bibliographical Notes.
520 _aDistributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems. It is written from the unifying viewpoint of distribution theory and enriched with many modern topics that are important for practitioners and researchers. The goal of the books is to give the reader, specialist and non-specialist, useable and modern mathematical tools in their research and analysis.   Volume 2: Linear and Nonlinear Dynamics of Continuous Media continues the multivolume project that endeavors to show how the theory of distributions, also called the theory of generalized functions, can be used by graduate students and researchers in applied mathematics, physical sciences, and engineering. It contains an analysis of the three basic types of linear partial differential equations—elliptic, parabolic, and hyperbolic—as well as chapters on first-order nonlinear partial differential equations and conservation laws, and generalized solutions of first-order nonlinear PDEs. Nonlinear wave, growing interface,  and Burger’s equations, KdV equations, and the equations of gas dynamics and porous media are also covered.   The careful explanations, accessible writing style, many illustrations/examples and solutions also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.   Features ·         Application oriented exposition of distributional (Dirac delta) methods in the theory of  partial differential equations. Abstract formalism is keep to a minimum. ·         Careful and rich selection of examples and problems arising in real-life situations. Complete solutions to all exercises appear at the end of the book. ·         Clear explanations, motivations, and illustration of all necessary mathematical concepts.
650 0 _aMathematics.
650 1 4 _aMathematics.
650 2 4 _aMathematics, general.
700 1 _aWoyczynski, Wojbor A.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780817639426
830 0 _aApplied and Numerical Harmonic Analysis,
_x2296-5009
856 4 0 _uhttp://dx.doi.org/10.1007/978-0-8176-4652-3
912 _aZDB-2-SMA
942 _2Dewey Decimal Classification
_ceBooks
999 _c43147
_d43147