Applications and Problems Vyas Balakrishnan creator text ii Chennai Springer 2020 monographic eng

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808 pages Warming up: Functions of a real variable.--- Gaussian integrals, Stirling's formula, and some integrals.--- Some more functions.--- Generalized functions.--- Vectors and tensors.--- Vector calculus.--- A bit of fluid dynamics.--- Some more vector calculus.--- A bit of electromagnetism and special relativity.--- Linear vector spaces.--- A look at matrices.--- More about matrices.--- Infinite-dimensional vector spaces.--- Linear operators on a vector space.--- Operator algebras and identities.--- Orthogonal polynomials.--- Fourier series.--- Fourier integrals.--- Discrete probability distributions.--- Continuous probability distributions.--- Stochastic processes.--- Analytic functions of a complex variable.--- More on analytic functions.--- Linear response and analyticity.--- Analytic continuation and the gamma function.--- Multivalued functions and integral representations.--- Mobius transformations.--- Laplace transforms.--- Green function for the Laplacian operator.--- The diffusion equation.--- The wave equation.--- Integral equations. Mathematical Physics QC20 B9 2020 978-3030396794 TH-BaNU 210922 20210922102006.0