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
Exercises and Problems in Mathematic...
~
Cicogna, Giampaolo.
Exercises and Problems in Mathematical Methods of Physics
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Exercises and Problems in Mathematical Methods of Physics/ by Giampaolo Cicogna.
作者:
Cicogna, Giampaolo.
面頁冊數:
XII, 218 p. 9 illus.online resource. :
Contained By:
Springer Nature eBook
標題:
Group Theory and Generalizations. -
電子資源:
https://doi.org/10.1007/978-3-030-59472-5
ISBN:
9783030594725
Exercises and Problems in Mathematical Methods of Physics
Cicogna, Giampaolo.
Exercises and Problems in Mathematical Methods of Physics
[electronic resource] /by Giampaolo Cicogna. - 2nd ed. 2020. - XII, 218 p. 9 illus.online resource. - Undergraduate Lecture Notes in Physics,2192-4791. - Undergraduate Lecture Notes in Physics,.
1 Hilbert spaces -- 1.1 Complete sets, Fourier expansions -- 1.1.1 Preliminary notions. Subspaces. Complete sets -- 1.1.2 Fourier expansions -- 1.1.3 Harmonic functions; Dirichlet and Neumann Problems -- 1.2 Linear operators -- 1.2.1 Linear operators defined giving T en = vn, and related Problems -- 1.2.2 Operators of the form T x = v(w;x) and T x = ån vn(wn;x) -- 1.2.3 Operators of the form T f (x) = j(x) f (x) -- 1.2.4 Problems involving differential operators -- 1.2.5 Functionals -- 1.2.6 Time evolution Problems. Heat equation -- 1.2.7 Miscellaneous Problems -- 2 Functions of a complex variable -- 2.1 Basic properties of analytic functions -- 2.2 Evaluation of integrals by complex variable methods -- 2.3 Harmonic functions and conformal mappings -- 3 Fourier and Laplace transforms. Distributions -- 3.1 Fourier transform in L1(R) and L2(R) -- 3.1.1 Basic properties and applications -- 3.1.2 Fourier transform and linear operators in L2(R) -- 3.2 Tempered distributions and Fourier transforms -- 3.2.1 General properties -- 3.2.2 Fourier transform, distributions and linear operators -- 3.2.3 Applications to ODE’s and related Green functions -- 3.2.4 Applications to general linear systems and Green functions -- 3.2.5 Applications to PDE’s -- 3.3 Laplace transforms -- vvi Contents -- Groups, Lie algebras, symmetries in physics -- 4.1 Basic properties of groups and representations -- 4.2 Lie groups and algebras -- 4.3 The groups SO3; SU2; SU3 -- 4.4 Other direct applications of symmetries to physics -- Answers and Solutions. .
This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book. The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible. .
ISBN: 9783030594725
Standard No.: 10.1007/978-3-030-59472-5doiSubjects--Topical Terms:
672112
Group Theory and Generalizations.
LC Class. No.: QC5.53
Dewey Class. No.: 530.15
Exercises and Problems in Mathematical Methods of Physics
LDR
:03957nam a22003975i 4500
001
1020498
003
DE-He213
005
20201030175954.0
007
cr nn 008mamaa
008
210318s2020 gw | s |||| 0|eng d
020
$a
9783030594725
$9
978-3-030-59472-5
024
7
$a
10.1007/978-3-030-59472-5
$2
doi
035
$a
978-3-030-59472-5
050
4
$a
QC5.53
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
Cicogna, Giampaolo.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1202963
245
1 0
$a
Exercises and Problems in Mathematical Methods of Physics
$h
[electronic resource] /
$c
by Giampaolo Cicogna.
250
$a
2nd ed. 2020.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2020.
300
$a
XII, 218 p. 9 illus.
$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
Undergraduate Lecture Notes in Physics,
$x
2192-4791
505
0
$a
1 Hilbert spaces -- 1.1 Complete sets, Fourier expansions -- 1.1.1 Preliminary notions. Subspaces. Complete sets -- 1.1.2 Fourier expansions -- 1.1.3 Harmonic functions; Dirichlet and Neumann Problems -- 1.2 Linear operators -- 1.2.1 Linear operators defined giving T en = vn, and related Problems -- 1.2.2 Operators of the form T x = v(w;x) and T x = ån vn(wn;x) -- 1.2.3 Operators of the form T f (x) = j(x) f (x) -- 1.2.4 Problems involving differential operators -- 1.2.5 Functionals -- 1.2.6 Time evolution Problems. Heat equation -- 1.2.7 Miscellaneous Problems -- 2 Functions of a complex variable -- 2.1 Basic properties of analytic functions -- 2.2 Evaluation of integrals by complex variable methods -- 2.3 Harmonic functions and conformal mappings -- 3 Fourier and Laplace transforms. Distributions -- 3.1 Fourier transform in L1(R) and L2(R) -- 3.1.1 Basic properties and applications -- 3.1.2 Fourier transform and linear operators in L2(R) -- 3.2 Tempered distributions and Fourier transforms -- 3.2.1 General properties -- 3.2.2 Fourier transform, distributions and linear operators -- 3.2.3 Applications to ODE’s and related Green functions -- 3.2.4 Applications to general linear systems and Green functions -- 3.2.5 Applications to PDE’s -- 3.3 Laplace transforms -- vvi Contents -- Groups, Lie algebras, symmetries in physics -- 4.1 Basic properties of groups and representations -- 4.2 Lie groups and algebras -- 4.3 The groups SO3; SU2; SU3 -- 4.4 Other direct applications of symmetries to physics -- Answers and Solutions. .
520
$a
This book is the second edition, whose original mission was to offer a new approach for students wishing to better understand the mathematical tenets that underlie the study of physics. This mission is retained in this book. The structure of the book is one that keeps pedagogical principles in mind at every level. Not only are the chapters sequenced in such a way as to guide the reader down a clear path that stretches throughout the book, but all individual sections and subsections are also laid out so that the material they address becomes progressively more complex along with the reader's ability to comprehend it. This book not only improves upon the first in many details, but it also fills in some gaps that were left open by this and other books on similar topics. The 350 problems presented here are accompanied by answers which now include a greater amount of detail and additional guidance for arriving at the solutions. In this way, the mathematical underpinnings of the relevant physics topics are made as easy to absorb as possible. .
650
2 4
$a
Group Theory and Generalizations.
$3
672112
650
2 4
$a
Integral Transforms, Operational Calculus.
$3
672154
650
2 4
$a
Functions of a Complex Variable.
$3
672126
650
2 4
$a
Operator Theory.
$3
672127
650
2 4
$a
Fourier Analysis.
$3
672627
650
1 4
$a
Mathematical Methods in Physics.
$3
670749
650
0
$a
Group theory.
$3
527791
650
0
$a
Operational calculus.
$3
1253881
650
0
$a
Integral transforms.
$3
678414
650
0
$a
Functions of complex variables.
$3
528649
650
0
$a
Operator theory.
$3
527910
650
0
$a
Fourier analysis.
$3
639284
650
0
$a
Physics.
$3
564049
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783030594718
776
0 8
$i
Printed edition:
$z
9783030594732
830
0
$a
Undergraduate Lecture Notes in Physics,
$x
2192-4791
$3
1253454
856
4 0
$u
https://doi.org/10.1007/978-3-030-59472-5
912
$a
ZDB-2-PHA
912
$a
ZDB-2-SXP
950
$a
Physics and Astronomy (SpringerNature-11651)
950
$a
Physics and Astronomy (R0) (SpringerNature-43715)
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