國立虎尾科技大學 |

Analytical Methods for Solving Nonlinear Partial Differential Equations

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Analytical Methods for Solving Nonlinear Partial Differential Equations/ by Daniel Arrigo.
作者:	Arrigo, Daniel.
面頁冊數:	XII, 174 p. 3 illus., 2 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Applications of Mathematics. -
電子資源:	https://doi.org/10.1007/978-3-031-17069-0
ISBN:	9783031170690

Analytical Methods for Solving Nonlinear Partial Differential Equations
Arrigo, Daniel.

Analytical Methods for Solving Nonlinear Partial Differential Equations[electronic resource] /by Daniel Arrigo. - 2nd ed. 2022. - XII, 174 p. 3 illus., 2 illus. in color.online resource. - Synthesis Lectures on Mathematics & Statistics,1938-1751. - Synthesis Lectures on Mathematics & Statistics,.

Nonlinear PDEs are Everywhere -- Differential Substitutions -- Point and Contact Transformations -- First Integrals -- Functional Separability. .

This textbook provides an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering, readers are introduced to techniques to obtain exact solutions of NLPDEs. The chapters include the following topics: Nonlinear PDEs are Everywhere; Differential Substitutions; Point and Contact Transformations; First Integrals; and Functional Separability. Readers are guided through these chapters and are provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter. This Second Edition includes a new method of generating contact transformations and focuses on a solution method (parametric Legendre transformations) to solve a particular class of two nonlinear PDEs. In addition, this book: Presents analytical methods to solve nonlinear partial differential equations (NLPDEs) Includes techniques for solving first and second order NLPDEs and provides interdisciplinary examples Contains numerous exercises throughout to facilitate learning and has been class tested over the past 10 years.

ISBN: 9783031170690

Standard No.: 10.1007/978-3-031-17069-0doiSubjects--Topical Terms:

669175
Applications of Mathematics.

LC Class. No.: QA370-380

Dewey Class. No.: 515.35

Analytical Methods for Solving Nonlinear Partial Differential Equations
LDR:02675nam a22003855i 4500 001 1084874
003 DE-He213
005 20221028075849.0
007 cr nn 008mamaa
008 221228s2022 sz | s |||| 0|eng d
020 $a 9783031170690 $9 978-3-031-17069-0
024 7 $a 10.1007/978-3-031-17069-0 $2 doi
035 $a 978-3-031-17069-0
050 4 $a QA370-380
072 7 $a PBKJ $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.35 $2 23
100 1 $a Arrigo, Daniel. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1391263
245 1 0 $a Analytical Methods for Solving Nonlinear Partial Differential Equations $h [electronic resource] / $c by Daniel Arrigo.
250 $a 2nd ed. 2022.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a XII, 174 p. 3 illus., 2 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Synthesis Lectures on Mathematics & Statistics, $x 1938-1751
505 0 $a Nonlinear PDEs are Everywhere -- Differential Substitutions -- Point and Contact Transformations -- First Integrals -- Functional Separability. .
520 $a This textbook provides an introduction to methods for solving nonlinear partial differential equations (NLPDEs). After the introduction of several PDEs drawn from science and engineering, readers are introduced to techniques to obtain exact solutions of NLPDEs. The chapters include the following topics: Nonlinear PDEs are Everywhere; Differential Substitutions; Point and Contact Transformations; First Integrals; and Functional Separability. Readers are guided through these chapters and are provided with several detailed examples. Each chapter ends with a series of exercises illustrating the material presented in each chapter. This Second Edition includes a new method of generating contact transformations and focuses on a solution method (parametric Legendre transformations) to solve a particular class of two nonlinear PDEs. In addition, this book: Presents analytical methods to solve nonlinear partial differential equations (NLPDEs) Includes techniques for solving first and second order NLPDEs and provides interdisciplinary examples Contains numerous exercises throughout to facilitate learning and has been class tested over the past 10 years.
650 2 4 $a Applications of Mathematics. $3 669175
650 2 4 $a Analysis. $3 669490
650 1 4 $a Differential Equations. $3 681826
650 0 $a Mathematical analysis. $3 527926
650 0 $a Mathematics. $3 527692
650 0 $a Differential equations. $3 527664
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783031170683
776 0 8 $i Printed edition: $z 9783031170706
776 0 8 $i Printed edition: $z 9783031170713
830 0 $a Synthesis Lectures on Mathematics & Statistics, $x 1938-1751 $3 1388395
856 4 0 $u https://doi.org/10.1007/978-3-031-17069-0
912 $a ZDB-2-SXSC
950 $a Synthesis Collection of Technology (R0) (SpringerNature-85007)