Introduction to Partial Differential Equations (Hardcover)

Gerald B. Folland

ISBN 10: 0691043612 / ISBN 13: 9780691043616

Verlag: Princeton University Press, New Jersey, 1995

Beschreibung

Hardcover. 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 pseudo-differential operators. Serves as a text for mathematics students at the intermediate graduate level. This book aims 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

Bestandsnummer des Verkäufers 9780691043616

Bibliografische Details

• Titel: Introduction to Partial Differential Equations (Hardcover)
• Verlag: Princeton University Press, New Jersey
• Erscheinungsjahr: 1995
• Sprache: Englisch
• ISBN-10: 0691043612
• ISBN-13: 9780691043616
• Einband: Hardcover
• Auflage: 2. Auflage
• Zustand: new

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

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).