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082 _a515.35 STA
100 _aStakgold, Ivar. .,
222 _a
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245 _aGreens functions and boundary value problems
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_cby Ivar Stakgold
250 _a3rd ed. .
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260 _6
_aHoboken:
_bWiley,
_cc2011.
300 _axxi, 855 p.:
_bill;
_c25cm.
310 _a
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440 _a
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490 _69492
_aPure and applied mathematics;
_vPure and applied mathematics (John Wiley &​ Sons : Unnumbered).
500 _3
_a"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.
504 _aPrevious ed.: 1998.,Online access restricted to licenced organisations. ,System requirements: Internet connectivity, World Wide Web browser, and Adobe Acrobat reader.
611 _a
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653 _aAnalysis
653 _aBoundary value problems.
653 _aMathematical physics.
653 _aGreens functions.
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