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Fundamentals of Partial Differential Equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Fundamentals of Partial Differential Equations / by Atul Kumar Razdan, V. Ravichandran.
作者:	Razdan, Atul Kumar.
其他作者:	Ravichandran, V.
面頁冊數:	XV, 551 p. 13 illus., 11 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Applications of Mathematics. -
電子資源:	https://doi.org/10.1007/978-981-16-9865-1
ISBN:	9789811698651

Fundamentals of Partial Differential Equations
Razdan, Atul Kumar.

Fundamentals of Partial Differential Equations [electronic resource] /by Atul Kumar Razdan, V. Ravichandran. - 1st ed. 2022. - XV, 551 p. 13 illus., 11 illus. in color.online resource.

Classical Vector Analysis -- Ordinary Differential Equations -- Partial Differential Equation Models -- Partial Differential Equations -- General Solution and Complete Integral -- Method of Characteristics -- Separation of Variables -- Method of Eigenfunctions Expansion -- Fourier Transforms -- Laplace Transform.

The book serves as a primary textbook of partial differential equations (PDEs), with due attention to their importance to various physical and engineering phenomena. The book focuses on maintaining a balance between the mathematical expressions used and the significance they hold in the context of some physical problem. The book has wider outreach as it covers topics relevant to many different applications of ordinary differential equations (ODEs), PDEs, Fourier series, integral transforms, and applications. It also discusses applications of analytical and geometric methods to solve some fundamental PDE models of physical phenomena such as transport of mass, momentum, and energy. As far as possible, historical notes are added for most important developments in science and engineering. Both the presentation and treatment of topics are fashioned to meet the expectations of interested readers working in any branch of science and technology. Senior undergraduates in mathematics and engineering are the targeted student readership, and the topical focus with applications to real-world examples will promote higher-level mathematical understanding for undergraduates in sciences and engineering.

ISBN: 9789811698651

Standard No.: 10.1007/978-981-16-9865-1doiSubjects--Topical Terms:

669175
Applications of Mathematics.

LC Class. No.: QA370-380

Dewey Class. No.: 515.35

Fundamentals of Partial Differential Equations
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