Mathematical Physics (8th Edition)

DescriptionMathematical Physics has been written to provide the readers a clear understanding of the mathematical concepts which are an important part of modern physics. The textbook contains 49 chapters on all major topics in an exhaustive endeavor to cover syllabuses of all major universities. Some of the important topics covered in these chapters are Vectors, Integration, Beta and Gamma functions, Differential Equations, Complex Numbers, Matrix and Determinants, and the Laplace transforms.Key FeaturesComprehensive: Coverage to cater to syllabuses of major universities.On the Website: One will find solved question papers of 2016 and 2017 along with useful formulae for easy download.Student friendly: In the way that the text goes in depth of the subject with as many as 49 chapters which contain over 1600 examples and over 225 exercise sets.Table of ContentsUnit-IReview of Vector AlgebraDifferentiation of VectorsIntegration of VectorsOrthogonal Curvilinear CoordinatesDouble IntegralsApplication of the Double IntegralsTriple Integration Application of Triple IntegrationGamma, Beta FunctionTheory of ErrorsFourier SeriesUnit-IIDifferential Equations of First OrderLinear Differential Equations of Second OrderCauchy-Euler Equations, Method of Variation of ParametersDifferential Equation of other TypesCoupled Differential EquationsApplications to Differential EquationsCalculus of VariationMaxima and Minima of Functions (Two Variables)Unit-IIIComplex NumbersExpansion of Trigonometric FunctionsFunctions of Complex Variable, Analytic FunctionConformal TransformationComplex IntegrationTaylor’s and Laurent’s SeriesThe Calculus of Residues (Integration)Series Solutions of Second Order Differential EquationsLegendre’s FunctionsBessel’s FunctionsHermite FunctionLaguerres FunctionsUnit-IVAbstract Vector SpacesVectors in RnLinear TransformationsBasis of Null Space, Row Space and Column SpaceReal Inner Product SpacesDeterminantsAlgebra of MatricesRank of MatrixConsistency of Linear System of Equations and their Solution (Linear Dependence)Eigen Values, Eigen Vector, Cayley Hamilton Theorem, Diagonalization (Complex and Unitary Matrices)First Order Lagrange’s Linear and Non-Linear Partial Differential EquationsLinear and Non-linear Partial Differential Equations with Constant Coefficients of 2nd OrderApplications of Partial Differential EquationsIntegral TransformsLaplace TransformInverse Laplace Transforms (Solution of Differential Equations)Dirac-Delta FunctionTensor Analysis