Partial Differential Equations: Analytical Methods and Applications

Partial Differential Equations: Analytical Methods and Applications is a comprehensive textbook that covers all the basic topics of a Partial Differential Equations (PDE) course for undergraduate students or a beginners course for graduate students. It provides a qualitative physical explanation of mathematical results while maintaining rigor. The teaching-by-examples approach includes numerous carefully chosen examples and applications, making it suitable for engineering, physics, and applied mathematics courses. The book's level of presentation and structure is well-suited for use in these fields.

Format: Paperback / softback
Length: 396 pages
Publication date: 29 March 2023
Publisher: Taylor & Francis Ltd

Partial Differential Equations: Analytical Methods and Applications is a comprehensive textbook designed to serve as a foundational resource for undergraduate students embarking on a journey into the realm of Partial Differential Equations (PDEs), as well as a refresher course for graduate students seeking to strengthen their understanding of these mathematical concepts. With a focus on both theoretical analysis and practical applications, this text offers a thorough exploration of all the essential topics commonly covered in a PDE course.

One of the key strengths of Partial Differential Equations: Analytical Methods and Applications is its ability to provide qualitative physical explanations of mathematical results, while simultaneously maintaining a rigorous academic standard. The authors strive to strike a balance between clarity and complexity, ensuring that the content is accessible to students with a range of backgrounds and skill levels. The presentation is concise and friendly, making it easy for readers to grasp the key concepts and principles involved.

The textbook adopts a teaching-by-examples approach, which is highly effective in facilitating the learning of concepts and techniques. Numerous carefully chosen examples are provided throughout the text, each accompanied by step-by-step instructions and explanations. These examples cover a wide range of applications, from engineering and physics to applied mathematics, allowing students to see the practical relevance of PDEs in real-world scenarios.

In addition to covering the core topics of PDEs, Partial Differential Equations: Analytical Methods and Applications also delves into various advanced topics, such as Fourier series, Sturm-Liouville problem, Fourier transform, and Laplace transform. These topics are essential for understanding the complex behavior of PDEs and their applications in various fields. The book's level of presentation and structure is well suited for use in engineering, physics, and applied mathematics courses.

Highlights of Partial Differential Equations: Analytical Methods and Applications include:

Comprehensive Coverage: The textbook offers a complete first course on PDEs, covering all the fundamental concepts and techniques.

Flexible Structure: The text's flexible structure allows instructors to tailor the syllabus to suit their specific teaching requirements, making it suitable for a wide range of courses.

Teach-by-Example Approach: The book is written with a teach-by-example approach, which offers numerous examples and applications to facilitate step-by-step learning of concepts and techniques.

Additional Topics: The book includes additional topics such as the Sturm-Liouville problem, Fourier and Laplace transforms, and special functions, providing a comprehensive coverage of the subject matter.

Graphical Material: The graphical material in the book is excellent, making use of modern software packages to enhance the understanding of complex concepts and equations.

Numerous Examples and Applications: The book features numerous examples and applications that are suitable for readers studying the subject remotely or independently.

In conclusion, Partial Differential Equations: Analytical Methods and Applications is a highly valuable textbook for undergraduate students and graduate students interested in learning about Partial Differential Equations. With its comprehensive coverage, flexible structure, teach-by-example approach, and additional topics, this text provides a solid foundation for understanding and applying PDEs in various fields. Whether you are a student, researcher, or professional seeking to advance your knowledge in this area, this textbook is an essential resource.

Dimension: 254 x 178 (mm)
ISBN-13: 9781032475080