{"product_id":"exercises-and-problems-in-mathematical-giampaolo-cicogna-9783030594718","title":"Exercises and Problems in Mathematical Methods of Physics","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 = 蚣 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. \u003cp\u003e \u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Giampaolo Cicogna\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3030594718\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783030594718\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/31\/2020\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 218\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.73lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.21h x 6.14w x 0.49d","brand":"Giampaolo Cicogna","offers":[{"title":"Paperback","offer_id":44756825997567,"sku":"9783030594718","price":64.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_16bf0021-fd7c-4ab3-a776-b09bbe345346.jpg?v=1706593933","url":"https:\/\/www.whiterainbookhouse.com\/products\/exercises-and-problems-in-mathematical-giampaolo-cicogna-9783030594718","provider":"WR Book House","version":"1.0","type":"link"}