Partial Differential Equations

Analytical Methods and Applications

Victor Henner , Tatyana Belozerova, Alexander Nepomnyashchy

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English

Chapman & Hall/CRC
29 March 2023

Differential calculus & equations; Applied mathematics; Mathematical physics; Environmental science, engineering & technology

Series: Textbooks in Mathematics

"Partial Differential Equations: Analytical Methods and Applications covers all the basic topics of a Partial Differential Equations (PDE) course for undergraduate students or a beginners’ course for graduate students. It provides qualitative physical explanation of mathematical results while maintaining the expected level of it rigor.

This text introduces and promotes practice of necessary problem-solving skills. The presentation is concise and friendly to the reader. The ""teaching-by-examples"" approach provides numerous carefully chosen examples that guide step-by-step learning of concepts and techniques. Fourier series, Sturm-Liouville problem, Fourier transform, and Laplace transform are included. The book’s level of presentation and structure is well suited for use in engineering, physics and applied mathematics courses.

Highlights:

Offers a complete first course on PDEs

The text’s flexible structure promotes varied syllabi for courses

Written with a teach-by-example approach which offers numerous examples and applications

Includes additional topics such as the Sturm-Liouville problem, Fourier and Laplace transforms, and special functions

The text’s graphical material makes excellent use of modern software packages

Features numerous examples and applications which are suitable for readers studying the subject remotely or independently"

By: Victor Henner , Tatyana Belozerova, Alexander Nepomnyashchy
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Dimensions: Height: 254mm, Width: 178mm,
Weight: 675g
ISBN: 9781032475080
ISBN 10: 1032475080
Series: Textbooks in Mathematics
Pages: 396
Publication Date: 29 March 2023
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Active

Victor Henner is a professor at the Department of Physics and Astronomy at the University of Louisville. He has Ph.Ds from the Novosibirsk Institute of Mathematics in Russia and Moscow State University. He co-wrote with Tatyana Belozerova Ordinary and Partial Differential Equations. Tatyana Belozerova is a professor at Perm State University in Russia. Along with Ordinary and Partial Differential Equations, she co-wrote with Victor Henner Mathematical Methods in Physics: Partial Differential Equations, Fourier Series, and Special Functions. Alexander Nepomnyashchy is a mathematics professor at Northwestern University and hails from the Faculty of Mathematics at Technion-Israel Institute of Technology. His research interests include non-linear stability theory and pattern formation.