Introduction to the Theory of Linear Partial Differential Equations
This highly visual introductory textbook provides a rigorous mathematical foundation for all solution methods and reinforces ties to physical motivation.
Let me begin by explaining the meaning of the title of this book. In essence, the book studies boundary value problems for linear partial differ ential equations in a finite domain in n-dimensional Euclidean space.
The book serves as a needed bridge between basic undergraduate texts and more advanced books that require a significant background in functional analysis.
The text is intended for students who wish a concise and rapid introduction to some main topics in PDEs, necessary for understanding current research, especially in nonlinear PDEs.
Partial Differential Equations presents a balanced and comprehensive introduction to the concepts and techniques required to solve problems containing unknown functions of multiple variables.
This is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations.
The main change in this edition is the inclusion of exercises with answers and hints.
This text explores the essentials of partial differential equations as applied to engineering and the physical sciences.
This comprehensive two-volume textbook covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables.
The book can be used to teach a variety of different courses. This new edition features new problems throughout, and the problems have been rearranged in each section from simplest to most difficult. New examples have also been added.