{ "item_title" : "Exercises and Problems in Mathematical Methods of Physics", "item_author" : [" Giampaolo Cicogna "], "item_description" : "1 Hilbert spaces.- 1.1 Complete sets, Fourier expansions.- 1.1.1 Preliminary notions. Subspaces. Complete sets.- 1.1.2 Fourier expansions.- 1.1.3 Harmonic functions; Dirichlet and Neumann Problems.- 1.2 Linear operators.- 1.2.1 Linear operators defined giving T en = vn, and related Problems.- 1.2.2 Operators of the form T x = v(w;x) and T x = n vn(wn;x).- 1.2.3 Operators of the form T f (x) = j(x) f (x).- 1.2.4 Problems involving differential operators.- 1.2.5 Functionals.- 1.2.6 Time evolution Problems. Heat equation.- 1.2.7 Miscellaneous Problems.- 2 Functions of a complex variable.- 2.1 Basic properties of analytic functions.- 2.2 Evaluation of integrals by complex variable methods.- 2.3 Harmonic functions and conformal mappings.- 3 Fourier and Laplace transforms. Distributions.- 3.1 Fourier transform in L1(R) and L2(R).- 3.1.1 Basic properties and applications.- 3.1.2 Fourier transform and linear operators in L2(R).- 3.2 Tempered distributions and Fourier transforms.- 3.2.1 General properties.- 3.2.2 Fourier transform, distributions and linear operators.- 3.2.3 Applications to ODE's and related Green functions.- 3.2.4 Applications to general linear systems and Green functions.- 3.2.5 Applications to PDE's.- 3.3 Laplace transforms.- vvi Contents.- Groups, Lie algebras, symmetries in physics.- 4.1 Basic properties of groups and representations.- 4.2 Lie groups and algebras.- 4.3 The groups SO3; SU2; SU3.- 4.4 Other direct applications of symmetries to physics.- Answers and Solutions.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/3/03/059/471/3030594718_b.jpg", "price_data" : { "retail_price" : "64.99", "online_price" : "64.99", "our_price" : "64.99", "club_price" : "64.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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