東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Linked to FindBook

Google Book

Amazon

博客來

Partial differential equations.. II,. Qualitative studies of linear equations

Record Type:	Electronic resources : Monograph/item
Title/Author:	Partial differential equations./ by Michael E. Taylor.
remainder title:	Qualitative studies of linear equations
Author:	Taylor, Michael E.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	xxiii, 687 p. :ill., digital ;24 cm.
[NT 15003449]:	Preface -- 7 Pseudodifferential Operators -- 8 Spectral Theory -- 9 Scattering by Obstacles -- 10 Dirac Operators and Index Theory -- 11 Brownian Motion and Potential Theory -- 12 The ∂-Neumann Problem -- C Connections and Curvature -- Index.
Contained By:	Springer Nature eBook
Subject:	Differential equations, Partial. -
Online resource:	https://doi.org/10.1007/978-3-031-33700-0
ISBN:	9783031337000

Partial differential equations.. II,. Qualitative studies of linear equations
Taylor, Michael E.

Partial differential equations.II,Qualitative studies of linear equations[electronic resource] /Qualitative studies of linear equationsby Michael E. Taylor. - Third edition. - Cham :Springer International Publishing :2023. - xxiii, 687 p. :ill., digital ;24 cm. - Applied mathematical sciences,v. 1162196-968X ;. - Applied mathematical sciences ;v. 116..

Preface -- 7 Pseudodifferential Operators -- 8 Spectral Theory -- 9 Scattering by Obstacles -- 10 Dirac Operators and Index Theory -- 11 Brownian Motion and Potential Theory -- 12 The ∂-Neumann Problem -- C Connections and Curvature -- Index.

This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centered about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: "These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted." (Peter Lax, SIAM review, June 1998)

ISBN: 9783031337000

Standard No.: 10.1007/978-3-031-33700-0doiSubjects--Topical Terms:

518115
Differential equations, Partial.

LC Class. No.: QA377

Dewey Class. No.: 515.353

Partial differential equations.. II,. Qualitative studies of linear equations
LDR:03119nmm a2200361 a 4500 001 2390086
003 DE-He213
005 20231206233053.0
006 m d
007 cr nn 008maaau
008 250916s2023 sz s 0 eng d
020 $a 9783031337000 $q (electronic bk.)
020 $a 9783031336997 $q (paper)
024 7 $a 10.1007/978-3-031-33700-0 $2 doi
035 $a 978-3-031-33700-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA377
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
072 7 $a PBKJ $2 thema
082 0 4 $a 515.353 $2 23
090 $a QA377 $b .T244 2023
100 1 $a Taylor, Michael E. $3 3697330
245 1 0 $a Partial differential equations. $n II, $p Qualitative studies of linear equations $h [electronic resource] / $c by Michael E. Taylor.
246 3 $a Qualitative studies of linear equations
250 $a Third edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2023.
300 $a xxiii, 687 p. : $b ill., digital ; $c 24 cm.
490 1 $a Applied mathematical sciences, $x 2196-968X ; $v v. 116
505 0 $a Preface -- 7 Pseudodifferential Operators -- 8 Spectral Theory -- 9 Scattering by Obstacles -- 10 Dirac Operators and Index Theory -- 11 Brownian Motion and Potential Theory -- 12 The ∂-Neumann Problem -- C Connections and Curvature -- Index.
520 $a This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centered about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis. The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds. Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC. Review of first edition: "These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted." (Peter Lax, SIAM review, June 1998)
650 0 $a Differential equations, Partial. $3 518115
650 0 $a Differential equations, Linear. $3 708540
650 1 4 $a Differential Equations. $3 907890
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Applied mathematical sciences ; $v v. 116. $3 3756242
856 4 0 $u https://doi.org/10.1007/978-3-031-33700-0
950 $a Mathematics and Statistics (SpringerNature-11649)