國立虎尾科技大學 |

Fourier series, Fourier transform and their applications to mathematical physics

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Fourier series, Fourier transform and their applications to mathematical physics/ by Valery Serov.
Author:	Serov, Valery.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	xi, 534 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Fourier series. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-65262-7
ISBN:	9783319652627

Fourier series, Fourier transform and their applications to mathematical physics
Serov, Valery.

Fourier series, Fourier transform and their applications to mathematical physics[electronic resource] /by Valery Serov. - Cham :Springer International Publishing :2017. - xi, 534 p. :ill., digital ;24 cm. - Applied mathematical sciences,v.1970066-5452 ;. - Applied mathematical sciences ;v.173..

This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences. Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts. The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing. The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrodinger and magnetic Schrodinger operations. The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an introduction to modern methods for classical theory of partial differential equations. Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering.

ISBN: 9783319652627

Standard No.: 10.1007/978-3-319-65262-7doiSubjects--Topical Terms:

598465
Fourier series.

LC Class. No.: QA404

Dewey Class. No.: 515.2433

Fourier series, Fourier transform and their applications to mathematical physics
LDR:02212nam a2200313 a 4500 001 922139
003 DE-He213
005 20180523101709.0
006 m d
007 cr nn 008maaau
008 190624s2017 gw s 0 eng d
020 $a 9783319652627 $q (electronic bk.)
020 $a 9783319652610 $q (paper)
024 7 $a 10.1007/978-3-319-65262-7 $2 doi
035 $a 978-3-319-65262-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA404
072 7 $a PBKF $2 bicssc
072 7 $a MAT034000 $2 bisacsh
082 0 4 $a 515.2433 $2 23
090 $a QA404 $b .S486 2017
100 1 $a Serov, Valery. $3 1197549
245 1 0 $a Fourier series, Fourier transform and their applications to mathematical physics $h [electronic resource] / $c by Valery Serov.
260 $a Cham : $c 2017. $b Springer International Publishing : $b Imprint: Springer,
300 $a xi, 534 p. : $b ill., digital ; $c 24 cm.
490 1 $a Applied mathematical sciences, $x 0066-5452 ; $v v.197
520 $a This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences. Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts. The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one-dimensional trigonometric Fourier series with some applications to PDEs and signal processing. The second part, Fourier Transform and Distributions, is concerned with distribution theory of L. Schwartz and its applications to the Schrodinger and magnetic Schrodinger operations. The third part, Operator Theory and Integral Equations, is devoted mostly to the self-adjoint but unbounded operators in Hilbert spaces and their applications to integral equations in such spaces. The fourth and final part, Introduction to Partial Differential Equations, serves as an introduction to modern methods for classical theory of partial differential equations. Complete with nearly 250 exercises throughout, this text is intended for graduate level students and researchers in the mathematical sciences and engineering.
650 0 $a Fourier series. $3 598465
650 0 $a Mathematical physics. $3 527831
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Fourier Analysis. $3 672627
650 2 4 $a Mathematical Physics. $3 786661
650 2 4 $a Partial Differential Equations. $3 671119
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Applied mathematical sciences ; $v v.173. $3 881311
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-65262-7
950 $a Mathematics and Statistics (Springer-11649)