Fundamentals of Partial Differential Equations

The book is a primary textbook on partial differential equations (PDEs), focusing on maintaining a balance between mathematical expressions and their physical significance. It covers topics relevant to ODEs, PDEs, Fourier series, integral transforms, and applications, with wider outreach to various branches of science and technology. It is designed for senior undergraduates in mathematics and engineering, promoting higher-level mathematical understanding with real-world examples.

Format: Hardback
Length: 551 pages
Publication date: 03 April 2022
Publisher: Springer Verlag, Singapore

The book stands as a comprehensive and essential textbook on partial differential equations (PDEs), recognizing their profound significance in various physical and engineering phenomena. It meticulously strikes a balance between the mathematical intricacies employed and their relevance to the underlying physical problems. With a broader audience in mind, the book encompasses topics relevant to numerous applications of ordinary differential equations (ODEs), PDEs, Fourier series, integral transforms, and their practical applications. Furthermore, it delves into the utilization of analytical and geometric methods to solve fundamental PDE models that describe essential physical phenomena, such as the transport of mass, momentum, and energy.

To enhance the learning experience, historical notes are included for significant developments in science and engineering. The presentation and treatment of topics are designed to cater to the interests of readers engaged in diverse branches of science and technology. The primary target student readership consists of senior undergraduates in mathematics and engineering, and the inclusion of topical examples with real-world applications aims to foster a deeper understanding of mathematics at the upper-level undergraduate level. By presenting PDEs in a comprehensive and accessible manner, this textbook serves as a valuable resource for students seeking to excel in the field of mathematics and its applications.

Weight: 1010g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811698644
Edition number: 1st ed. 2022