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 the...(展开全部)

Our understanding of the fundamental processes of the natural world is based to a large extent on partial differential equations (PDEs). The second edition of Partial Differential Equations provides an introduction to the basic properties of PDEs and the ideas and techniques that have proven useful in analyzing them. It provides the student a broad perspective on the subject, i...(展开全部)

Covers the fundamental properties of partial differential equations (PDEs) and proven techniques useful in analyzing them. Uses a broad approach to illustrate the rich diversity of phenomena such as vibrations of solids, fluid flow, molecular structure, photon and electron interactions, radiation of electromagnetic waves encompassed by this subject as well as the role PDEs play...(展开全部)

This book is a very well-accepted introduction to the subject. In it, the author identifies the significant aspects of the theory and explores them with a limited amount of machinery from mathematical analysis. Now, in this fourth edition, the book has again been updated with an additional chapter on Lewy's example of a linear equation without solutions.

本书俄文介绍: http://pilotlz.ru/books/267/4691/ 本书英文介绍: http://eng.pilotlz.ru/books/320/6154/ Сборник содержит материалы для упражнений по ку рсу дифференциальных уравнений с частными производными для университетов и технических вузов с повышенной математической программой. Ко всем задачам даны ответы, к отдельным задачам — решения. Представлены также варианты задач письменного экзам...(展开全部)

Like all of Vladimir Arnold's books, this book is full of geometric insight. Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat...(展开全部)