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Introduction to Partial Differential Equations. Second Edition (Mathematical Notes, 102) Revised Edition
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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.
- ISBN-100691043612
- ISBN-13978-0691043616
- EditionRevised
- PublisherPrinceton University Press
- Publication dateOctober 15, 1995
- LanguageEnglish
- Dimensions6 x 0.88 x 9 inches
- Print length352 pages
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- Publisher : Princeton University Press; Revised edition (October 15, 1995)
- Language : English
- Hardcover : 352 pages
- ISBN-10 : 0691043612
- ISBN-13 : 978-0691043616
- Item Weight : 1.44 pounds
- Dimensions : 6 x 0.88 x 9 inches
- Best Sellers Rank: #530,761 in Books (See Top 100 in Books)
- #97 in Differential Equations (Books)
- #1,298 in Mathematics (Books)
- #1,504 in Pure Mathematics (Books)
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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.






