An Elementary Course on Partial Differential Equations

This book provides a comprehensive introduction to partial differential equations, covering basic topics, techniques, and applications. It is designed to strike a balance between theory and practical problems and is divided into three parts.

Format: Paperback / softback
Length: 350 pages
Publication date: 05 January 2023
Publisher: Cambridge University Press

Partial differential equations (PDEs) hold immense significance in any course delving into pure or applied mathematics. This comprehensive book is a treasure for individuals seeking a clear yet thorough introduction to PDEs. Its design aims to strike a harmonious balance between theory and practical applications, encompassing all major methods along with their historical underpinnings, theoretical rigor, and geometric significance. The book is structured into three parts. The first part delves into foundational concepts such as ordinary differential equations, multivariable calculus, and geometry. This is followed by essential techniques for solving specific types of partial differential equations. The final part focuses on first-, second-, and higher-order PDEs, with chapters meticulously arranged to facilitate a gradual and systematic learning experience. Each method is explored through theoretical descriptions presented as theorems, accompanied by illustrative problems to aid readers in grasping the material. Furthermore, an abundance of solved examples and practice problems empowers students to apply their knowledge effectively. By utilizing this resource, learners can develop a deep understanding of partial differential equations and their applications across various fields.

Weight: 534g
Dimension: 183 x 242 x 20 (mm)
ISBN-13: 9781009201445