000			01735nam a22002297a 4500
003			OSt
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008			230721b xxu||||| |||| 00| 0 eng d
020			_a9788126515776
040			_cIIT Kanpur
041			_aeng
082			_a517 _bC83mE
100			_aCourant, Richard
245			_aMethods of mathematical physics [Vol.1] _cRichard Courant and David Hilbert
260			_aNew Delhi _bWiley _c2004
300			_axv, 560p
500			_aFirst English edition translated and revised from the German original.
520			_aTable of Contents: Part I: The Algebra of Linear Transformations and Quadratic Forms Transformation to Principal Axes of Quadratic and Hermitian Forms Minimum-Maximum Property of Eigenvalues Part II: Series Expansion of Arbitrary Functions Orthogonal Systems of Functions Measure of Independence and Dimension Number Fourier Series Legendre Polynomials Part III: Linear Integral Equations The Expansion Theorem and Its Applications Neumann Series and the Reciprocal Kernel The Fredholm Formulas Part IV: The Calculus of Variations Direct Solutions The Euler Equations Part V: Vibration and Eigenvalue Problems Systems of a Finite Number of Degrees of Freedom The Vibrating String The Vibrating Membrane Green's Function (Influence Function) and Reduction of Differential Equations to Integral Equations Part VI: Application of The Calculus of Variations To Eigenvalue Problems Completeness and Expansion Theorems Nodes of Eigen functions Part VII: Special Functions Defined By Eigenvalue Problems Bessel Functions Asymptotic Expansions Additional Bibliography Index
650			_aMathematical physics
700			_aHilbert, David
942			_cBK
999			_c566757 _d566757