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LEADER: 02721fam a2200361 a 4500
001 1681886
005 20220608211822.0
008 941031t19951995nyua b 001 0 eng
010 $a 94043219
020 $a0387944427 (acid-free paper)
035 $a(OCoLC)31515530
035 $a(OCoLC)ocm31515530
035 $9AKU9482CU
035 $a(NNC)1681886
035 $a1681886
040 $aDLC$cDLC$dDLC$dOrLoB
050 00 $aQA1$b.A647 vol. 108$aQA320
082 00 $a510 s$a515/.7$220
100 1 $aZeidler, Eberhard.$0http://id.loc.gov/authorities/names/n83045847
245 10 $aApplied functional analysis :$bapplications to mathematical physics /$cEberhard Zeidler.
260 $aNew York :$bSpringer-Verlag,$c[1995], ©1995.
300 $axxix, 479 pages :$billustrations ;$c25 cm.
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
490 1 $aApplied mathematical sciences ;$v108
504 $aIncludes bibliographical references (p. [443]-455) and index.
505 00 $g1.$tBanach Spaces and Fixed-Point Theorems --$g2.$tHilbert Spaces, Orthogonality, and the Dirichlet Principle --$g3.$tHilbert Spaces and Generalized Fourier Series --$g4.$tEigenvalue Problems for Linear Compact Symmetric Operators --$g5.$tSelf-Adjoint Operators, the Friedrichs Extension and the Partial Differential Equations of Mathematical Physics.
520 $aThis is the first part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, numerical functional analysis and their substantial applications with each other. The book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world and which play an important role in the history of mathematics.
520 8 $aThe book's approach begins with the question "what are the most important applications" and proceeds to try to answer this question. The applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schrodinger approach and the Feynman approach to quantum physics, and quantum statistics. The presentation is self-contained. As for prerequisites, the reader should be familiar with some basic facts of calculus.
650 0 $aFunctional analysis.$0http://id.loc.gov/authorities/subjects/sh85052312
650 0 $aMathematical physics.$0http://id.loc.gov/authorities/subjects/sh85082129
830 0 $aApplied mathematical sciences (Springer-Verlag New York Inc.) ;$vv. 108.$0http://id.loc.gov/authorities/names/n42002591
852 00 $beng$hQA320$i.Z45 1995