{"product_id":"methods-of-mathematical-physics-classical-and-modern-hardcover","title":"Methods of Mathematical Physics: Classical and Modern - Hardcover","description":"\u003cp\u003eby \u003cb\u003eAlexey N. Karapetyants\u003c\/b\u003e (Author), \u003cb\u003eVladislav V. Kravchenko\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003eIntroduction.- Classification of PDEs.- Models of mathematical physics.- Boundary value problems.- Cauchy problem for hyperbolic equations.- Fourier method for the wave equation.- Sturm-Liouville problems.- Boundary value problems for the heat equation.- Harmonic functions and their properties.- Boundary value problems for the Laplace equation.- Potential theory.- Elements of theory of integral equations.- Solution of boundary value problems for the Laplace equation.- Helmholtz equation.- Method of non-orthogonal series.- Bergman kernel approach.- Bibliography.- Index.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003eThis textbook provides a thorough overview of mathematical physics, highlighting classical topics as well as recent developments. Readers will be introduced to a variety of methods that reflect current trends in research, including the Bergman kernel approach for solving boundary value and spectral problems for PDEs with variable coefficients. With its careful treatment of the fundamentals as well as coverage of topics not often encountered in textbooks, this will be an ideal text for both introductory and more specialized courses.\u003cbr\u003eThe first five chapters present standard material, including the classification of PDEs, an introduction to boundary value and initial value problems, and an introduction to the Fourier method of separation of variables. More advanced material and specialized treatments follow, including practical methods for solving direct and inverse Sturm-Liouville problems; the theory of parabolic equations, harmonic functions, potential theory, integral equations and the method of non-orthogonal series.\u003ci\u003e\u003cbr\u003e\u003c\/i\u003e\u003ci\u003eMethods of Mathematical Physics\u003c\/i\u003e is ideal for undergraduate students and can serve as a textbook for a regular course in equations of mathematical physics as well as for more advanced courses on selected topics.\u003c\/p\u003e\u003ch3\u003eAuthor Biography\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eAlexey N. Karapetyants\u003c\/b\u003e is professor of the Institute of Mathematics, Mechanics and Computer Sciences and director of Regional Mathematical Center at the Southern Federal University, Rostov-on-Don, Russia. His research interests include operator theory, mathematical physics, harmonic analysis: real and complex variable methods, and functional analysis.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eVladislav V. Kravchenko\u003c\/b\u003e is a researcher in the Department of Mathematics of Center for Research and Advanced Studies of the National Polytechnic Institute, Campus Queretaro, Mexico. His research interests include mathematical physics, differential equations, complex and hypercomplex analysis, spectral theory, and inverse problems. \u003cbr\u003e\u003c\/p\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 405\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.94 x 9.21 x 6.14 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e November 18, 2022\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":47440358080690,"sku":"9783031178443","price":161.98,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0770\/3891\/1666\/files\/7100dc776cd06883fd8159bdd0de369e.webp?v=1778680641","url":"https:\/\/box.dadyminds.org\/products\/methods-of-mathematical-physics-classical-and-modern-hardcover","provider":"DADYMINDS BOX","version":"1.0","type":"link"}