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LEADER: 03400cam a2200289Ia 4500
001 5907054
005 20221121210714.0
008 060622t20062006nyua 001 0 eng d
020 $a0387985794
035 $a(OCoLC)ocm70156299
035 $a(NNC)5907054
035 $a5907054
040 $aHUA$cHUA$dOrLoB-B
092 $a530.15$bH35 m
100 1 $aHassani, Sadri.$0http://id.loc.gov/authorities/names/n90664726
245 10 $aMathematical physics :$ba modern introduction to its foundations /$cSadri Hassani.
260 $aNew York :$bSpringer,$c[2006], ©2006.
300 $axxii, 1025 pages :$billustrations ;$c24 cm
336 $atext$btxt$2rdacontent
337 $aunmediated$bn$2rdamedia
500 $a"Corrected second printing 2000"--T.p. verso.
504 $aIncludes bibliographical references (p. [1003]-1005) and index.
505 00 $tMathematical Preliminaries --$gI.$tFinite-Dimensional Vector Spaces --$g1.$tVectors and Transformations --$g2.$tOperator Algebra --$g3.$tMatrices: Operator Representations --$g4.$tSpectral Decomposition --$gII.$tInfinite-Dimensional Vector Spaces --$g5.$tHilbert Spaces --$g6.$tGeneralized Functions --$g7.$tClassical Orthogonal Polynomials --$g8.$tFourier Analysis --$gIII.$tComplex Analysis --$g9.$tComplex Calculus --$g10.$tCalculus of Residues --$g11.$tComplex Analysis: Advanced Topics --$gIV.$tDifferential Equations --$g12.$tSeparation of Variables in Spherical Coordinates --$g13.$tSecond-Order Linear Differential Equations --$g14.$tComplex Analysis of SOLDEs --$g15.$tIntegral Transforms and Differential Equations --$gV.$tOperators on Hilbert Spaces --$g16.$tAn Introduction to Operator Theory --$g17.$tIntegral Equations --$g18.$tSturm-Liouville Systems: Formalism --$g19.$tSturm-Liouville Systems: Examples --$gVI.$tGreen's Functions --$g20.$tGreen's Functions in One Dimension --$g21.$tMultidimensional Green's Functions: Formalism --$g22.$tMultidimensional Green's Functions: Applications --$gVII.$tGroups and Manifolds --$g23.$tGroup Theory --$g24.$tGroup Representation Theory --$g25.$tAlgebra of Tensors --$g26.$tAnalysis of Tensors --$gVIII.$tLie Groups and Their Applications --$g27.$tLie Groups and Lie Algebras --$g28.$tDifferential Geometry --$g29.$tLie Groups and Differential Equations --$g30.$tCalculus of Variations, Symmetries, and Conservation Laws.
520 1 $a"This book is for physics students interested in the mathematics they use and for mathematics students interested in seeing how some of the ideas of their discipline find realization in an applied setting. The presentation tries to strike a balance between formalism and application, between abstract and concrete. The interconnections among the various topics are clarified both by the use of vector spaces as a central unifying theme, recurring throughout the book, and by putting ideas into their historical context. Enough of the essential formalism is included to make the presentation self-contained." "Intended for advanced undergraduate or beginning graduate students, this comprehensive guide should also prove useful as a refresher or reference for physicists and applied mathematicians. Over 300 worked-out examples and more than 800 problems provide valuable learning aids."--BOOK JACKET.
650 0 $aMathematical physics.$0http://id.loc.gov/authorities/subjects/sh85082129
852 00 $bsci$hQC20$i.H394 2006
852 00 $boff,phy$hQC20$i.H394 2006