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An introduction to partial differential equations (with Maple) :a concise course /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An introduction to partial differential equations (with Maple) :Zhilin Li & Larry Norris, North Carolina State University, USA.
其他題名:	a concise course /
作者:	Li, Zhilin,
其他作者:	Norris, Larry,
面頁冊數:	xi, 205 pages :illustrations (some color) ;26 cm
標題:	Differential equations, Partial.
ISBN:	9789811228629

An introduction to partial differential equations (with Maple) :a concise course /
Li, Zhilin,1956-

An introduction to partial differential equations (with Maple) :a concise course /Zhilin Li & Larry Norris, North Carolina State University, USA. - xi, 205 pages :illustrations (some color) ;26 cm

Includes bibliographical references and index.

Introduction -- First order partial differential equations -- Solution to one-dimensional wave equations -- Orthogonal functions & expansions, and Sturm-Liouville theory -- Various Fourier series, properties and convergence -- Series solutions of PDEs of boundary value problems -- Fourier and Laplace transforms -- Numerical solution techniques.

"The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations. The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm-Liouville eigenvalue problems and series solutions. The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area"--

ISBN: 9789811228629

Publisher. No.: cam 2200349 i 4500

LCCN: 2021045205Subjects--Topical Terms:

189753
Differential equations, Partial.

LC Class. No.: QA374 / .L428 2022

Dewey Class. No.: 515/.353

An introduction to partial differential equations (with Maple) :a concise course /
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020 $z 9789811228643 $q (electronic book for individuals)
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082 0 0 $a 515/.353 $2 23/eng/20211102
100 1 $a Li, Zhilin, $d 1956- $3 249008
245 1 3 $a An introduction to partial differential equations (with Maple) : $b a concise course / $c Zhilin Li & Larry Norris, North Carolina State University, USA.
264 1 $a Singapore ; $a Hackensack, NJ : $b World Scientific Publishing Co. Pte. Ltd, $c [2022]
300 $a xi, 205 pages : $b illustrations (some color) ; $c 26 cm
336 $a text $b txt $2 rdacontent
337 $a unmediated $b n $2 rdamedia
338 $a volume $b nc $2 rdacarrier
504 $a Includes bibliographical references and index.
505 0 $a Introduction -- First order partial differential equations -- Solution to one-dimensional wave equations -- Orthogonal functions & expansions, and Sturm-Liouville theory -- Various Fourier series, properties and convergence -- Series solutions of PDEs of boundary value problems -- Fourier and Laplace transforms -- Numerical solution techniques.
520 $a "The book is designed for undergraduate or beginning level graduate students, and students from interdisciplinary areas including engineers, and others who need to use partial differential equations, Fourier series, Fourier and Laplace transforms. The prerequisite is a basic knowledge of calculus, linear algebra, and ordinary differential equations. The textbook aims to be practical, elementary, and reasonably rigorous; the book is concise in that it describes fundamental solution techniques for first order, second order, linear partial differential equations for general solutions, fundamental solutions, solution to Cauchy (initial value) problems, and boundary value problems for different PDEs in one and two dimensions, and different coordinates systems. Analytic solutions to boundary value problems are based on Sturm-Liouville eigenvalue problems and series solutions. The book is accompanied with enough well tested Maple files and some Matlab codes that are available online. The use of Maple makes the complicated series solution simple, interactive, and visible. These features distinguish the book from other textbooks available in the related area"-- $c Provided by publisher.
650 0 $a Differential equations, Partial. $3 189753
650 6 $a Équations aux d́erivées partielles. $3 916384
700 1 $a Norris, Larry, $d 1946- $e author. $3 916290
994 $a C0 $b TWNUK