소장자료
LDR | 02704nam a2200289 a 4500 | ||
001 | 0092281230▲ | ||
005 | 20180520023805▲ | ||
008 | 131010s2013 sz a b 001 0 eng d▲ | ||
020 | ▼a9783319011943▲ | ||
035 | ▼a(KERIS)BIB000013323656▲ | ||
040 | ▼a221016▼c221016▲ | ||
050 | 4 | ▼aQC20▼b.H394 2013▲ | |
050 | 4 | ▼aQC20▼b.H394 2013▲ | |
072 | 7 | ▼aQC▼2lcco▲ | |
082 | 0 | 4 | ▼a530.15▼221▲ |
090 | ▼a530.15▼bH353m2▲ | ||
100 | 1 | ▼aHassani, Sadri.▲ | |
245 | 1 | 0 | ▼aMathematical physics :▼ba modern introduction to its foundations /▼cSadri Hassani.▲ |
250 | ▼a2nd ed.▲ | ||
260 | ▼aCham :▼bSpringer,▼c[2013].▲ | ||
300 | ▼axxxi, 1205 p. :▼bill. ;▼c27 cm.▲ | ||
504 | ▼aIncludes bibliographical references and index.▲ | ||
505 | 0 | 0 | ▼tMathematical preliminaries --▼tVectors and transformations --▼tOperator algebra --▼tMatrices : operator representations --▼tSpectral decomposition --▼tHilbert spaces --▼tGeneralized functions --▼tClassical orthogonal polynomials --▼tFourier analysis --▼tComplex calculus --▼tCalculus of residues --▼tComplex analysis : advanced topics --▼tSeparation of variables in spherical coordinates --▼tSecond-oder linear differential equations --▼tComplex analysis of SOLDEs --▼tIntegral transforms and differential equations --▼tAn introduction to operator theory -- t Integral equations --▼tSturm-Liouville systems : formalism --▼tSturm-Liouville systems : examples --▼tGreen's functions in one dimension --▼tMultidimensional Green's functions : applications --▼tGroup theory --▼tGroup reprensentation theory --▼tAlgebra of tensors --▼tAnalysis of tensors --▼tLie groups and lie algebras --▼tDifferential geometry --▼tLie groups and differential equations --▼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."▲ | |
520 | 8 | ▼a"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.▲ | |
999 | ▼c정영주▲ |
Mathematical physics :a modern introduction to its foundations
자료유형
국외단행본
서명/책임사항
Mathematical physics : a modern introduction to its foundations / Sadri Hassani.
개인저자
판사항
2nd ed.
발행사항
Cham : Springer , [2013].
형태사항
xxxi, 1205 p. : ill. ; 27 cm.
서지주기
Includes bibliographical references and index.
내용주기
Mathematical preliminaries -- Vectors and transformations -- Operator algebra -- Matrices : operator representations -- Spectral decomposition -- Hilbert spaces -- Generalized functions -- Classical orthogonal polynomials -- Fourier analysis -- Complex calculus -- Calculus of residues -- Complex analysis : advanced topics -- Separation of variables in spherical coordinates -- Second-oder linear differential equations -- Complex analysis of SOLDEs -- Integral transforms and differential equations -- An introduction to operator theory -- t Integral equations -- Sturm-Liouville systems : formalism -- Sturm-Liouville systems : examples -- Green's functions in one dimension -- Multidimensional Green's functions : applications -- Group theory -- Group reprensentation theory -- Algebra of tensors -- Analysis of tensors -- Lie groups and lie algebras -- Differential geometry -- Lie groups and differential equations -- Calculus of variations, symmetries, and conservation laws.
요약주기
"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./
ISBN
9783319011943
청구기호
530.15 H353m2
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