04662cam a2200697Ia 4500 ocn711779377 OCoLC 20171119090553.0 m o d cr mn||||||||| 110407s2011 njua ob 001 0 eng d 9780470906538 (electronic bk.) 0470906537 (electronic bk.) 9780470906521 (electronic bk.) 0470906529 (electronic bk.) 9780470609705 (hardback) 0470609702 (hardback) AU@ 000046946113 DEBSZ 372800610 DEBSZ 430964692 GBVCP 675743664 NZ1 13751524 NZ1 15340310 (OCoLC)711779377 (OCoLC)709837752 (OCoLC)710974954 (OCoLC)716174433 10.1002/9780470906538 Wiley InterScience http://www3.interscience.wiley.com DG1 eng pn DG1 UIU OSU YDXCP E7B EBLCP MHW OCLCQ REDDC OCLCQ CDX DEBSZ OCLCQ N$T OCLCF HEBIS OCLCQ MAIN QA379 .S72 2011 MAT 007000 bisacsh 515/.35 22 Stakgold, Ivar. Green's functions and boundary value problems / Ivar Stakgold, Michael Holst. [electronic resource] 3rd ed. Hoboken, N.J. : Wiley, ©2011. 1 online resource (xxi, 855 pages) : illustrations. text txt rdacontent computer c rdamedia online resource cr rdacarrier Pure and applied mathematics Includes bibliographical references and index. Green's functions (intuitive ideas) -- The theory of distributions -- One-dimensional boundary value problems -- Hilbert and Banach spaces -- Operator theory -- Integral equations -- Spectral theory of second-order differential operators -- Partial differential equations -- Nonlinear problems -- Approximation theory and methods. "This Third Edition includes basic modern tools of computational mathematics for boundary value problems and also provides the foundational mathematical material necssary to understand and use the tools. Central to the text is a down-to-earth approach that shows readers how to use differential and integral equations when tackling significant problems in the physical sciences, engineering, and applied mathematics, and the book maintains a careful balance between sound mathematics and meaningful applications. A new co-author, Michael J. Holst, has been added to this new edition, and together he and Ivar Stakgold incorporate recent developments that have altered the field of applied mathematics, particularly in the areas of approximation methods and theory including best linear approximation in linear spaces; interpolation of functions in Sobolev Spaces; spectral, finite volume, and finite difference methods; techniques of nonlinear approximation; and Petrov-Galerkin and Galerkin methods for linear equations. Additional topics have been added including weak derivatives and Sobolev Spaces, linear functionals, energy methods and A Priori estimates, fixed-point techniques, and critical and super-critical exponent problems. The authors have revised the complete book to ensure that the notation throughout remained consistent and clear as well as adding new and updated references. Discussions on modeling, Fourier analysis, fixed-point theorems, inverse problems, asymptotics, and nonlinear methods have also been updated"--Provided by publisher. Print version record. Boundary value problems. Green's functions. Mathematical physics. Mathematics. MATHEMATICS Differential Equations General. bisacsh Boundary value problems. fast (OCoLC)fst00837122 Green's functions. fast (OCoLC)fst00947660 Mathematical physics. fast (OCoLC)fst01012104 Green-Funktion gnd (DE-588)4158123-4 Randwertproblem gnd (DE-588)4048395-2 Partielle Differentialgleichung gnd (DE-588)4044779-0 Electronic books. Holst, Michael J. Print version: Stakgold, Ivar. Green's functions and boundary value problems. 3rd ed. Hoboken, NJ : Wiley, ©2011 9780470609705 (DLC) 2010023290 (OCoLC)639574774 Pure and applied mathematics (John Wiley & Sons : Unnumbered) http://onlinelibrary.wiley.com/book/10.1002/9780470906538 Wiley Online Library ddc BK 204969 204969