LEADER 04732nam 22006375 450 001 9910438035203321 005 20200704220315.0 010 $a0-8176-4652-3 024 7 $a10.1007/978-0-8176-4652-3 035 $a(CKB)3710000000018973 035 $a(EBL)1466274 035 $a(SSID)ssj0001010493 035 $a(PQKBManifestationID)11577421 035 $a(PQKBTitleCode)TC0001010493 035 $a(PQKBWorkID)11000430 035 $a(PQKB)11662747 035 $a(DE-He213)978-0-8176-4652-3 035 $a(MiAaPQ)EBC6314110 035 $a(MiAaPQ)EBC1466274 035 $a(Au-PeEL)EBL1466274 035 $a(CaPaEBR)ebr10976270 035 $a(OCoLC)922907242 035 $a(PPN)172416787 035 $a(EXLCZ)993710000000018973 100 $a20130905d2013 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDistributions in the Physical and Engineering Sciences, Volume 2 $eLinear and Nonlinear Dynamics in Continuous Media /$fby Alexander I. Saichev, Wojbor A. Woyczynski 205 $a1st ed. 2013. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Birkhäuser,$d2013. 215 $a1 online resource (427 p.) 225 1 $aApplied and Numerical Harmonic Analysis,$x2296-5009 300 $aDescription based upon print version of record. 311 $a0-8176-3942-X 320 $aIncludes bibliographical references and index. 327 $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. 330 $aDistributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems. It is written from the unifying viewpoint of distribution theory and enriched with many modern topics that are important for practitioners and researchers. The goal of the books is to give the reader, specialist and non-specialist, useable and modern mathematical tools in their research and analysis.   Volume 2: Linear and Nonlinear Dynamics of Continuous Media continues the multivolume project that endeavors to show how the theory of distributions, also called the theory of generalized functions, can be used by graduate students and researchers in applied mathematics, physical sciences, and engineering. It contains an analysis of the three basic types of linear partial differential equations?elliptic, parabolic, and hyperbolic?as well as chapters on first-order nonlinear partial differential equations and conservation laws, and generalized solutions of first-order nonlinear PDEs. Nonlinear wave, growing interface,  and Burger?s equations, KdV equations, and the equations of gas dynamics and porous media are also covered.   The careful explanations, accessible writing style, many illustrations/examples and solutions also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise.   Features ·         Application oriented exposition of distributional (Dirac delta) methods in the theory of  partial differential equations. Abstract formalism is keep to a minimum. ·         Careful and rich selection of examples and problems arising in real-life situations. Complete solutions to all exercises appear at the end of the book. ·         Clear explanations, motivations, and illustration of all necessary mathematical concepts. 410 0$aApplied and Numerical Harmonic Analysis,$x2296-5009 517 3 $aVolume 2 606 $aMathematics 606 $aMathematics, general$3https://scigraph.springernature.com/ontologies/product-market-codes/M00009 615 0$aMathematics. 615 14$aMathematics, general. 676 $a515.353 700 $aSaichev$b Alexander I$4aut$4http://id.loc.gov/vocabulary/relators/aut$0344910 702 $aWoyczynski$b Wojbor A$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910438035203321 996 $aDistributions in the Physical and Engineering Sciences, Volume 2$92543712 997 $aUNINA LEADER 01000nam0-22003371i-450 001 990004120300403321 005 20250422131716.0 035 $a000412030 035 $aFED01000412030 035 $a(Aleph)000412030FED01 100 $a19990604d1964----km-y0itay50------ba 101 1 $aita 105 $ay-------001yy 200 1 $aDimensioni della libertą$fFelix E. Oppenheim$gprefazione di Giulio Preti 210 $aMilano$cFeltrinelli$d1964 215 $aXXVI, 266 p.$d22 cm 225 1 $a<>fatti e le idee$v110 610 0 $aLibertą$aConcezione filosofica 610 0 $aDETERMINISMO E INDETERMINISMO 676 $a123.5 676 $a323.44$v19 700 1$aOppenheim,$bFelix E.$0122374 702 1$aPreti,$bGiulio 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990004120300403321 952 $a323.44 OPP 1$bI.F.T.945$fFLFBC 952 $aDAM C10 OPPF 01$b2024/8363$fFLFBC 959 $aFLFBC 996 $aDimensioni della libertą$9203538 997 $aUNINA