語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Methods of Mathematical Physics = Classical and Modern /
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Methods of Mathematical Physics/ by Alexey N. Karapetyants, Vladislav V. Kravchenko.
其他題名:
Classical and Modern /
作者:
Karapetyants, Alexey N.
其他作者:
Kravchenko, Vladislav V.
面頁冊數:
XI, 405 p. 51 illus., 17 illus. in color.online resource. :
Contained By:
Springer Nature eBook
標題:
Mathematical Physics. -
電子資源:
https://doi.org/10.1007/978-3-031-17845-0
ISBN:
9783031178450
Methods of Mathematical Physics = Classical and Modern /
Karapetyants, Alexey N.
Methods of Mathematical Physics
Classical and Modern /[electronic resource] :by Alexey N. Karapetyants, Vladislav V. Kravchenko. - 1st ed. 2022. - XI, 405 p. 51 illus., 17 illus. in color.online resource.
Introduction -- Classification of PDEs -- Models of mathematical physics -- Boundary value problems -- Cauchy problem for hyperbolic equations -- Fourier method for the wave equation -- Sturm-Liouville problems -- Boundary value problems for the heat equation -- Harmonic functions and their properties -- Boundary value problems for the Laplace equation -- Potential theory -- Elements of theory of integral equations -- Solution of boundary value problems for the Laplace equation -- Helmholtz equation -- Method of non-orthogonal series -- Bergman kernel approach -- Bibliography -- Index.
This textbook provides a thorough overview of mathematical physics, highlighting classical topics as well as recent developments. Readers will be introduced to a variety of methods that reflect current trends in research, including the Bergman kernel approach for solving boundary value and spectral problems for PDEs with variable coefficients. With its careful treatment of the fundamentals as well as coverage of topics not often encountered in textbooks, this will be an ideal text for both introductory and more specialized courses. The first five chapters present standard material, including the classification of PDEs, an introduction to boundary value and initial value problems, and an introduction to the Fourier method of separation of variables. More advanced material and specialized treatments follow, including practical methods for solving direct and inverse Sturm-Liouville problems; the theory of parabolic equations, harmonic functions, potential theory, integral equations and the method of non-orthogonal series. Methods of Mathematical Physics is ideal for undergraduate students and can serve as a textbook for a regular course in equations of mathematical physics as well as for more advanced courses on selected topics.
ISBN: 9783031178450
Standard No.: 10.1007/978-3-031-17845-0doiSubjects--Topical Terms:
786661
Mathematical Physics.
LC Class. No.: QC19.2-20.85
Dewey Class. No.: 530.15
Methods of Mathematical Physics = Classical and Modern /
LDR
:03239nam a22003975i 4500
001
1085619
003
DE-He213
005
20221117154058.0
007
cr nn 008mamaa
008
221228s2022 sz | s |||| 0|eng d
020
$a
9783031178450
$9
978-3-031-17845-0
024
7
$a
10.1007/978-3-031-17845-0
$2
doi
035
$a
978-3-031-17845-0
050
4
$a
QC19.2-20.85
072
7
$a
PHU
$2
bicssc
072
7
$a
SCI040000
$2
bisacsh
072
7
$a
PHU
$2
thema
082
0 4
$a
530.15
$2
23
100
1
$a
Karapetyants, Alexey N.
$e
editor.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1357101
245
1 0
$a
Methods of Mathematical Physics
$h
[electronic resource] :
$b
Classical and Modern /
$c
by Alexey N. Karapetyants, Vladislav V. Kravchenko.
250
$a
1st ed. 2022.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Birkhäuser,
$c
2022.
300
$a
XI, 405 p. 51 illus., 17 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
505
0
$a
Introduction -- Classification of PDEs -- Models of mathematical physics -- Boundary value problems -- Cauchy problem for hyperbolic equations -- Fourier method for the wave equation -- Sturm-Liouville problems -- Boundary value problems for the heat equation -- Harmonic functions and their properties -- Boundary value problems for the Laplace equation -- Potential theory -- Elements of theory of integral equations -- Solution of boundary value problems for the Laplace equation -- Helmholtz equation -- Method of non-orthogonal series -- Bergman kernel approach -- Bibliography -- Index.
520
$a
This textbook provides a thorough overview of mathematical physics, highlighting classical topics as well as recent developments. Readers will be introduced to a variety of methods that reflect current trends in research, including the Bergman kernel approach for solving boundary value and spectral problems for PDEs with variable coefficients. With its careful treatment of the fundamentals as well as coverage of topics not often encountered in textbooks, this will be an ideal text for both introductory and more specialized courses. The first five chapters present standard material, including the classification of PDEs, an introduction to boundary value and initial value problems, and an introduction to the Fourier method of separation of variables. More advanced material and specialized treatments follow, including practical methods for solving direct and inverse Sturm-Liouville problems; the theory of parabolic equations, harmonic functions, potential theory, integral equations and the method of non-orthogonal series. Methods of Mathematical Physics is ideal for undergraduate students and can serve as a textbook for a regular course in equations of mathematical physics as well as for more advanced courses on selected topics.
650
1 4
$a
Mathematical Physics.
$3
786661
650
0
$a
Mathematical physics.
$3
527831
700
1
$a
Kravchenko, Vladislav V.
$e
editor.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1322331
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783031178443
776
0 8
$i
Printed edition:
$z
9783031178467
776
0 8
$i
Printed edition:
$z
9783031178474
856
4 0
$u
https://doi.org/10.1007/978-3-031-17845-0
912
$a
ZDB-2-SMA
912
$a
ZDB-2-SXMS
950
$a
Mathematics and Statistics (SpringerNature-11649)
950
$a
Mathematics and Statistics (R0) (SpringerNature-43713)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入