{"title":"Sl Sobolev","description":null,"products":[{"product_id":"partial-differential-equations-of-mathematical-physics-book-sl-sobolev-9780486659640","title":"Partial Differential Equations of Mathematical Physics","description":"\u003cp\u003eThe classical partial differential equations of mathematical physics, formulated by the great mathematicians of the 19th century, remain today the basis of investigation into waves, heat conduction, hydrodynamics, and other physical problems.\u003cbr\u003eIn this comprehensive treatment by a well-known Soviet mathematician, the equations are presented and explained in a manner especially designed to be accessible to the novice in the field. The reader is assumed to have no previous knowledge other than elementary analysis. From there, more advanced concepts are developed in detail and with great precision; moreover, theorems are often approached through the study of special simpler cases, before being proved in their full generality, and are applied to many particular physical problems.\u003cbr\u003eAfter deriving the fundamental equations, the author provides illuminating expositions of such topics as Riemann's method, Lebesgue integration of multiple integrals, the equation of heat conduction, Laplace's equation and Poisson's equation, the theory of integral equations, Green's function, Fourier's method, harmonic polynomials and spherical functions, and much more.\u003cbr\u003eFor this third edition, various improvements in style and clarifications of the presentations were made, including a simplification of the theory of multiple Lebesgue integrals and greater precision in the proof of the Fourier method. Finally, the translation is both idiomatic as well as accurate, making the vast amount of information in this book more readily accessible to the English reader.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ VERY_GOOD \/ INTERNAL","offer_id":49625192071441,"sku":"GOR007813515","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ GOOD \/ SBYB","offer_id":50084653760785,"sku":"CIN048665964XG","price":0.0,"currency_code":"GBP","in_stock":false},{"title":"US \/ VERY_GOOD \/ SBYB","offer_id":52954527891729,"sku":"CIN048665964XVG","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/048665964X.jpg?v=1751103828"},{"product_id":"theory-of-cubature-formulas-book-sl-sobolev-9780792346319","title":"The Theory of Cubature Formulas","description":"This volume considers various methods for constructing cubature  and quadrature formulas of arbitrary degree. These formulas are  intended to approximate the calculation of multiple and conventional  integrals over a bounded domain of integration. The latter is assumed  to have a piecewise-smooth boundary and to be arbitrary in other  aspects. Particular emphasis is placed on invariant cubature formulas  and those for a cube, a simplex, and other polyhedra. Here, the  techniques of functional analysis and partial differential equations  are applied to the classical problem of numerical integration, to  establish many important and deep analytical properties of cubature  formulas. The prerequisites of the theory of many-dimensional discrete  function spaces and the theory of finite differences are concisely  presented. Special attention is paid to constructing and studying the  optimal cubature formulas in Sobolev spaces. As an asymptotically  optimal sequence of cubature formulas, a many-dimensional abstraction  of the Gregory quadrature is indicated.    Audience: This book is intended for researchers having a basic  knowledge of functional analysis who are interested in the  applications of modern theoretical methods to numerical mathematics.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52425821847825,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52425822601489,"sku":"NLS9780792346319","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9780792346319.jpg?v=1759155906"},{"product_id":"theory-of-cubature-formulas-book-sl-sobolev-9789048148752","title":"The Theory of Cubature Formulas","description":"This volume considers various methods for constructing cubature  and quadrature formulas of arbitrary degree. These formulas are  intended to approximate the calculation of multiple and conventional  integrals over a bounded domain of integration. 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Audience: This book is intended for researchers having a basic  knowledge of functional analysis who are interested in the  applications of modern theoretical methods to numerical mathematics.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52617939419409,"sku":"NLS9789048148752","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9789048148752.jpg?v=1761531757"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-sl-sobolev.oembed","provider":"World of Books ","version":"1.0","type":"link"}