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An introduction to partial differential equations /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	515.353
書名/作者:	An introduction to partial differential equations // Daniel J. Arrigo.
作者:	Arrigo, Daniel J.
出版者:	[San Rafael, California] : : Morgan & Claypool,, 2018.
面頁冊數:	1 PDF (xi, 155 pages) : : illustrations.
附註:	Part of: Synthesis digital library of engineering and computer science.
標題:	Differential equations, Partial.
ISBN:	9781681732558
內容註:	1. Introduction -- 1.1 Model equations -- 1.1.1 Advection equation -- 1.1.2 Diffusion equation -- 1.1.3 Laplace's equation -- 1.1.4 Wave equation -- 1.2 PDEs are everywhere -- 1.3 Exercises --
摘要、提要註:	This book is an introduction to methods for solving partial differential equations (PDEs). After the introduction of the main four PDEs that could be considered the cornerstone of Applied Mathematics, the reader is introduced to a variety of PDEs that come from a variety of fields in the Natural Sciences and Engineering and is a springboard into this wonderful subject. The chapters include the following topics: First-order PDEs, Second-order PDEs, Fourier Series, Separation of Variables, and the Fourier Transform. The reader is guided through these chapters where techniques for solving first- and second-order PDEs are introduced. Each chapter ends with a series of exercises illustrating the material presented in each chapter. The book can be used as a textbook for any introductory course in PDEs typically found in both science and engineering programs and has been used at the University of Central Arkansas for over ten years.
電子資源:	http://ieeexplore.ieee.org/servlet/opac?bknumber=8240002

An introduction to partial differential equations /
Arrigo, Daniel J.1960-,

An introduction to partial differential equations /Daniel J. Arrigo. - [San Rafael, California] :Morgan & Claypool,2018. - 1 PDF (xi, 155 pages) :illustrations. - Synthesis lectures on mathematics and statistics,# 211938-1751 ;. - Synthesis digital library of engineering and computer science..

Part of: Synthesis digital library of engineering and computer science.

1. Introduction -- 1.1 Model equations -- 1.1.1 Advection equation -- 1.1.2 Diffusion equation -- 1.1.3 Laplace's equation -- 1.1.4 Wave equation -- 1.2 PDEs are everywhere -- 1.3 Exercises --

Abstract freely available; full-text restricted to subscribers or individual document purchasers.

Compendex

This book is an introduction to methods for solving partial differential equations (PDEs). After the introduction of the main four PDEs that could be considered the cornerstone of Applied Mathematics, the reader is introduced to a variety of PDEs that come from a variety of fields in the Natural Sciences and Engineering and is a springboard into this wonderful subject. The chapters include the following topics: First-order PDEs, Second-order PDEs, Fourier Series, Separation of Variables, and the Fourier Transform. The reader is guided through these chapters where techniques for solving first- and second-order PDEs are introduced. Each chapter ends with a series of exercises illustrating the material presented in each chapter. The book can be used as a textbook for any introductory course in PDEs typically found in both science and engineering programs and has been used at the University of Central Arkansas for over ten years.

Mode of access: World Wide Web.

ISBN: 9781681732558

Standard No.: 10.2200/S00814ED1V01Y201711MAS021doiSubjects--Topical Terms:

389324
Differential equations, Partial.
Subjects--Index Terms:

advection equationIndex Terms--Genre/Form:

336502
Electronic books.

LC Class. No.: QA374 / .A773 2018

Dewey Class. No.: 515.353

An introduction to partial differential equations /
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100 1 $a Arrigo, Daniel J. $q (Daniel Joseph), $d 1960-, $e author. $3 729048
245 1 3 $a An introduction to partial differential equations / $c Daniel J. Arrigo.
260 1 $a [San Rafael, California] : $b Morgan & Claypool, $c 2018.
264 1 $a [San Rafael, California] : $b Morgan & Claypool, $c 2018.
300 $a 1 PDF (xi, 155 pages) : $b illustrations.
336 $a text $2 rdacontent
337 $a electronic $2 isbdmedia
338 $a online resource $2 rdacarrier
490 1 $a Synthesis lectures on mathematics and statistics, $x 1938-1751 ; $v # 21
500 $a Part of: Synthesis digital library of engineering and computer science.
505 0 $a 1. Introduction -- 1.1 Model equations -- 1.1.1 Advection equation -- 1.1.2 Diffusion equation -- 1.1.3 Laplace's equation -- 1.1.4 Wave equation -- 1.2 PDEs are everywhere -- 1.3 Exercises --
505 8 $a 2. First-order PDEs -- 2.1 Constant coefficient equations -- 2.2 Linear equations -- 2.3 Method of characteristics -- 2.4 Quasilinear equations -- 2.5 Higher-dimensional equations -- 2.6 Fully nonlinear first-order equations -- 2.6.1 Method of characteristics -- 2.6.2 Charpit's method -- 2.7 Exercises --
505 8 $a 3. Second-order linear PDEs -- 3.1 Introduction -- 3.2 Standard forms -- 3.2.1 Parabolic standard form -- 3.2.2 Hyperbolic standard form -- 3.2.3 Modified hyperbolic form -- 3.2.4 Regular hyperbolic form -- 3.2.5 Elliptic standard form -- 3.3 The wave equation -- 3.4 Exercises --
505 8 $a 4. Fourier series -- 4.1 Fourier series -- 4.2 Fourier series on [-pi, pi] -- 4.3 Fourier series on [-L ,L] -- 4.4 Odd and even extensions -- 4.4.1 Sine series -- 4.4.2 Cosine series -- 4.5 Exercises --
505 8 $a 5. Separation of variables -- 5.1 The heat equation -- 5.1.1 Nonhomogeneous boundary conditions -- 5.1.2 Nonhomogeneous equations -- 5.1.3 Equations with a solution-dependent source term -- 5.1.4 Equations with a solution-dependent convective term -- 5.2 Laplace's equation -- 5.2.1 Laplace's equation on an arbitrary rectangular domain -- 5.3 The wave equation -- 5.4 Exercises --
505 8 $a 6. Fourier transform -- 6.1 Fourier transform -- 6.2 Fourier sine and cosine transforms -- 6.3 Exercises --
505 8 $a 7. Solutions -- Author's biography.
506 $a Abstract freely available; full-text restricted to subscribers or individual document purchasers.
510 0 $a Compendex
510 0 $a INSPEC
510 0 $a Google scholar
510 0 $a Google book search
520 3 $a This book is an introduction to methods for solving partial differential equations (PDEs). After the introduction of the main four PDEs that could be considered the cornerstone of Applied Mathematics, the reader is introduced to a variety of PDEs that come from a variety of fields in the Natural Sciences and Engineering and is a springboard into this wonderful subject. The chapters include the following topics: First-order PDEs, Second-order PDEs, Fourier Series, Separation of Variables, and the Fourier Transform. The reader is guided through these chapters where techniques for solving first- and second-order PDEs are introduced. Each chapter ends with a series of exercises illustrating the material presented in each chapter. The book can be used as a textbook for any introductory course in PDEs typically found in both science and engineering programs and has been used at the University of Central Arkansas for over ten years.
530 $a Also available in print.
538 $a Mode of access: World Wide Web.
538 $a System requirements: Adobe Acrobat Reader.
588 $a Title from PDF title page (viewed on December 31, 2017).
650 0 $a Differential equations, Partial. $3 389324
653 $a advection equation
653 $a heat equation
653 $a wave equation and Laplace's equation
653 $a method of characteristics
653 $a separation of variables
653 $a Fourier series, and the Fourier transform
655 0 $a Electronic books. $2 local $3 336502
776 0 8 $i Print version: $z 9781681732565 $z 9781681732541
830 0 $a Synthesis digital library of engineering and computer science. $3 461208
830 0 $a Synthesis lectures on mathematics and statistics ; $v # 22. $x 1938-1751 $3 729013
856 4 2 $3 Abstract with links to resource $u http://ieeexplore.ieee.org/servlet/opac?bknumber=8240002