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Green's functions and boundary value...
~
Holst, Michael J.
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Green's functions and boundary value problems /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Green's functions and boundary value problems // Ivar Stakgold, Michael J. Holst.
作者:
Stakgold, Ivar.
其他作者:
Holst, Michael J.
出版者:
Hoboken, N.J. :Wiley, : 2011.,
面頁冊數:
xxi, 855 p. ;24 cm.
標題:
Boundary value problems. -
ISBN:
9780470609705 (hbk.) :
Green's functions and boundary value problems /
Stakgold, Ivar.
Green's functions and boundary value problems /
Ivar Stakgold, Michael J. Holst. - 3rd ed. - Hoboken, N.J. :Wiley,2011. - xxi, 855 p. ;24 cm. - Pure and applied mathematics. - Pure and applied mathematics ;99..
Includes bibliographical references and index.
"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"--
ISBN: 9780470609705 (hbk.) :US$130
LCCN: 2010-023290Subjects--Topical Terms:
527599
Boundary value problems.
LC Class. No.: QA379 / .S72 2011
Green's functions and boundary value problems /
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"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"--
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