偏微分方程引论

偏微分方程引论 pdf epub mobi txt 电子书 下载 2025

出版者:科学出版社
作者:
出品人:
页数:434
译者:
出版时间:2011-6
价格:98.00元
装帧:精装
isbn号码:9787030313881
丛书系列:国外数学名著系列(影印版)
图书标签:
  • 偏微分方程 
  • PDE 
  • 偏微分方程7 
  • 数学教材 
  • QS 
  • Mathematics 
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《偏微分方程引论(影印版)(第2版)》主要内容简介: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.

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