Modern Methods in Partial Differential Equations

Book Details:

• Publisher: Dover

• Author: Martin Schechter

• Language: English

• Edition: Reprint

• ISBN: 0800759492961

• Pages: 245

• Binding: Paperback

• Release Date: 18-12-2013

• Package Dimensions: 9.3 x 6.2 x 0.4 inches

About The Book:

Introduction to the Theory of Partial Differential Equations by Martin Schechter is a foundational text for advanced undergraduates and beginning graduate students of mathematics. Originally published in 1977, this reprint edition presents the discoveries of the previous three decades in the field of partial differential equations, a period that saw considerable progress in mathematical analysis.

The book is designed for students with some familiarity with advanced calculus and basic complex function theory. It provides a clear and engaging introduction to techniques that are widely applicable to partial differential equations and other branches of analysis. The topics covered in the book include the existence and uniqueness of solutions, estimates, regularity, and boundary value problems, including the Dirichlet problem in general domains and the Cauchy problem.

With its uniform theme and problem sets focusing on existence, uniqueness, and regularity of solutions, this text serves as an essential resource for anyone interested in partial differential equations. Schechter’s approach makes the subject approachable while offering a thorough exploration of key concepts, ensuring this work remains a significant contribution to the field.

Martin Schechter is a respected professor at the University of California, Irvine, and the author of several important research papers in mathematics.