{"product_id":"an-introduction-to-partial-differential-equations-9780387004440","title":"An Introduction to Partial Differential Equations","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003ePartial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eFrom the reviews of the second edition:\u003c\/p\u003e \u003cp\u003e\"This second edition of the book from 1993 is still one of the most modern books about PDEs. … There is a number of … new examples and exercises, or new sections about Sobolev spaces and nonlinear variational problems. The book is written very well and can be strongly recommended as a textbook for a number of PDE courses. The presentation of a number of subjects is the best available in the literature.\" (G. Schneider, Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 84(10-11), 2004)\u003c\/p\u003e \u003cp\u003e\"An Introduction to Partial Differential Equations (2nd ed.) is a very careful exposition of functional analytic methods applied to PDEs. … a self-contained text that can be used as the basis of an advanced course in PDEs or as an excellent guide for self-study by a motivated reader. … acts and feels like a standard book in a specific area of mathematics. ... The Renardy and Rogers text contains a large number of problems … . For students, these problems will be challenging and interesting. … is a great book.\" (Ronald B. Guenther, Enrique A. Thomann, SIAM Reviews, Vol. 47(1), 2005)\u003c\/p\u003e \u003cp\u003e\"The purpose of this book is to put the topic of differential equations on the same footing in the graduate curriculum as algebra and analysis. … the authors describe it as a book for three or four semesters. … they succeed admirably. The book is extremely well-written with lots of examples and motivation for the theory.\" (Gary M. Lieberman, Zentralblatt MATH, Vol. 1072, 2005)\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003eIntroduction* Characteristics* Classification of Characteristics * Conservation Laws and Shocks* Maximum Principles* Distributions* Function Spaces* Sobolev Spaces * Operator Theory * Linear Elliptic Equations * Nonlinear Elliptic Equations * Energy Methods for Evolution Problems * Semigroup Methods * References * Index","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":52195194208599,"sku":"9780387004440","price":67.49,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/an-introduction-to-partial-differential-equations-9780387004440","provider":"Book Curl","version":"1.0","type":"link"}