國立高雄大學圖資館 |

登入

回首頁

Fundamentals of partial differential equations

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Fundamentals of partial differential equationsby Atul Kumar Razdan, V. Ravichandran.
作者:	Razdan, Atul Kumar.
其他作者:	Ravichandran, V.
出版者:	Singapore :Springer Singapore :2022.
面頁冊數:	xv, 551 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Differential equations, Partial.
電子資源:	https://doi.org/10.1007/978-981-16-9865-1
ISBN:	9789811698651$q(electronic bk.)

Fundamentals of partial differential equations
Razdan, Atul Kumar.

Fundamentals of partial differential equations[electronic resource] /by Atul Kumar Razdan, V. Ravichandran. - Singapore :Springer Singapore :2022. - xv, 551 p. :ill., digital ;24 cm.

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$q(electronic bk.)

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

189753
Differential equations, Partial.

LC Class. No.: QA377 / .R39 2022

Dewey Class. No.: 515.353

Fundamentals of partial differential equations
LDR:02517nmm a2200325 a 4500 001 623207
003 DE-He213
005 20220402085811.0
006 m d
007 cr nn 008maaau
008 221209s2022 si s 0 eng d
020 $a 9789811698651$q(electronic bk.)
020 $a 9789811698644$q(paper)
024 7 $a 10.1007/978-981-16-9865-1 $2 doi
035 $a 978-981-16-9865-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377 $b .R39 2022
072 7 $a PBKJ $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.353 $2 23
090 $a QA377 $b .R278 2022
100 1 $a Razdan, Atul Kumar. $3 925298
245 1 0 $a Fundamentals of partial differential equations $h [electronic resource] / $c by Atul Kumar Razdan, V. Ravichandran.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2022.
300 $a xv, 551 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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.
650 0 $a Differential equations, Partial. $3 189753
650 1 4 $a Differential Equations. $3 285983
650 2 4 $a Fourier Analysis. $3 273776
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Applications of Mathematics. $3 273744
700 1 $a Ravichandran, V. $3 925299
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-981-16-9865-1
950 $a Mathematics and Statistics (SpringerNature-11649)