Introduction to Partial Differential Equations

Gerald B. Folland

ISBN 10: 0691043612 / ISBN 13: 9780691043616

Edité par Princeton University Press, US, 1995

A propos de cet article

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.

N° de réf. du vendeur LU-9780691043616

Détails bibliographiques

• Titre: Introduction to Partial Differential Equations
• Éditeur: Princeton University Press, US
• Date de parution: 1995
• Langue: anglais
• ISBN à 10 chiffres: 0691043612
• ISBN à 13 chiffres: 9780691043616
• Reliure: Hardback
• Édition: Second Edition.
• État de l'article: New
• Poids: 652 grammes

A propos de ce titre

Synopsis

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.

À propos de l?auteur

Gerald B. Folland is Professor of Mathematics at the University of Washington. He is the author of a number of books, including Real Analysis, Fourier Analysis and Its Applications, and Harmonic Analysis in Phase Space (Princeton).