Introduction to Partial Differential Equations: Second Edition (Mathematical Notes Book 17) 2nd Edition by Gerald B. Folland (PDF)

Description

The second edition of Introduction to Partial Differential Equations, which originally appeared in the Princeton series Mathematical Notes, serves as a text for mathematics students at the intermediate graduate level. The goal is to acquaint readers with the fundamental classical results of partial differential equations and to guide them into some aspects of the modern theory to the point where they will be equipped to read advanced treatises and research papers. This book includes many more exercises than the first edition, offers a new chapter on pseudodifferential operators, and contains additional material throughout. The first five chapters of the book deal with classical theory: first-order equations, local existence theorems, and an extensive discussion of the fundamental differential equations of mathematical physics. The techniques of modern analysis, such as distributions and Hilbert spaces, are used wherever appropriate to illuminate these long-studied topics. The last three chapters introduce the modern theory: Sobolev spaces, elliptic boundary value problems, and pseudodifferential operators.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a very advanced book on PDE. Just know that going in.

⭐good quality, prompt delivery

⭐偏微分方程式論の基礎を学習する上でとてもよい本だと思います．しかし書かれている内容は少しマニアックで，証明なども飛ばし飛ばし書かれていますので初学では意味がわからなかったり，何が嬉しいかを掴めない部分もあるかもしれません．ですので，例えばevanceのpdeの本の2,3,5,6章などを読んでからこの本に入ると本書のありがたみがわかるように思います．偏微分方程式を勉強するうえで貴重な本です。大事なことが全部書かれていて、しっかりと勉強できます。

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