Cantitate/Preț
Produs

An Introduction to Partial Differential Equations: Texts in Applied Mathematics, cartea 13

Autor Michael Renardy, Robert C. Rogers
en Limba Engleză Paperback – 15 dec 2010
Partial differential equations are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis and algebraic topology. Like algebra, topology, and rational mechanics, partial differential equations are a core area of mathematics.
This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in Chapter 10, and the necessary tools from functional analysis are developed within the course. The book can be used to teach a variety of different courses. This new edition features new problems throughout and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 36441 lei  3-5 săpt. +2719 lei  5-11 zile
  Springer – 15 dec 2010 36441 lei  3-5 săpt. +2719 lei  5-11 zile
Hardback (1) 59604 lei  6-8 săpt.
  Springer – 8 ian 2004 59604 lei  6-8 săpt.

Din seria Texts in Applied Mathematics

Preț: 36441 lei

Preț vechi: 43906 lei
-17% Nou

Puncte Express: 547

Preț estimativ în valută:
6975 7188$ 5888£

Carte disponibilă

Livrare economică 10-24 februarie
Livrare express 25-31 ianuarie pentru 3718 lei

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9781441918208
ISBN-10: 1441918205
Pagini: 452
Ilustrații: XIV, 434 p. 21 illus.
Dimensiuni: 155 x 235 x 24 mm
Greutate: 0.63 kg
Ediția:Softcover reprint of hardcover 2nd ed. 2004
Editura: Springer
Colecția Springer
Seria Texts in Applied Mathematics

Locul publicării:New York, NY, United States

Public țintă

Graduate

Cuprins

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.

Recenzii

From the reviews of the second edition:
"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)
"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)
"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)

Notă biografică



Textul de pe ultima copertă

 Partial differential equations (PDEs) are fundamental to the modeling of natural phenomena, arising in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Like algebra, topology, and rational mechanics, PDEs are a core area of mathematics.
This book aims to provide the background necessary to initiate work on a Ph.D. thesis in PDEs for beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables. Lebesgue integration is needed only in chapter 10, and the necessary tools from functional analysis are developed within the coarse. The book can be used to teach a variety of different courses.
This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added. The material on Sobolev spaces has been rearranged and expanded. A new section on nonlinear variational problems with "Young-measure" solutions appears. The reference section has also been expanded.