語系:
繁體中文
English
說明(常見問題)
圖資館首頁
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Mathematical physicsapplications and...
~
Balakrishnan, V.
Mathematical physicsapplications and problems /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Mathematical physicsby V. Balakrishnan.
其他題名:
applications and problems /
作者:
Balakrishnan, V.
出版者:
Cham :Springer International Publishing :2020.
面頁冊數:
xxvii, 781 p. :ill., digital ;24 cm.
Contained By:
Springer eBooks
標題:
Mathematical physics.
電子資源:
https://doi.org/10.1007/978-3-030-39680-0
ISBN:
9783030396800$q(electronic bk.)
Mathematical physicsapplications and problems /
Balakrishnan, V.
Mathematical physics
applications and problems /[electronic resource] :by V. Balakrishnan. - Cham :Springer International Publishing :2020. - xxvii, 781 p. :ill., digital ;24 cm.
Chapter 1: Warming up: Functions of a real variable -- Chapter 2: Gaussian integrals, Stirling's formula, and some integrals -- Chapter 3: Some more functions -- Chapter 4: Generalized functions -- Chapter 5: Vectors and tensors -- Chapter 6: Vector calculus -- Chapter 7: A bit of fluid dynamics -- Chapter 8: Some more vector calculus -- Chapter 9: A bit of electromagnetism and special relativity -- Chapter 10: Linear vector spaces -- Chapter 11: A look at matrices -- Chapter 12: More about matrices -- Chapter 13: Infinite-dimensional vector spaces -- Chapter 14: Linear operators on a vector space -- Chapter 15: Operator algebras and identities -- Chapter 16: Orthogonal polynomials -- Chapter 17: Fourier series -- Chapter 18: Fourier integrals -- Chapter 19: Discrete probability distributions -- Chapter 20: Continuous probability distributions -- Chapter 21: Stochastic processes -- Chapter 22: Analytic functions of a complex variable -- Chapter 23: More on analytic functions -- Chapter 24: Linear response and analyticity -- Chapter 25: Analytic continuation and the gamma function -- Chapter 26: Multivalued functions and integral representations -- Chapter 27: Mobius transformations -- Chapter 28: Laplace transforms -- Chapter 29: Green function for the Laplacian operator -- Chapter 30: The diffusion equation -- Chapter 31: The wave equation -- Chapter 32: Integral equations.
This textbook is aimed at advanced undergraduate and graduate students interested in learning the fundamental mathematical concepts and tools widely used in different areas of physics. The author draws on a vast teaching experience, and presents a comprehensive and self-contained text which explains how mathematics intertwines with and forms an integral part of physics in numerous instances. Rather than emphasizing rigorous proofs of theorems, specific examples and physical applications (such as fluid dynamics, electromagnetism, quantum mechanics, etc.) are invoked to illustrate and elaborate upon the relevant mathematical techniques. The early chapters of the book introduce different types of functions, vectors and tensors, vector calculus, and matrices. In the subsequent chapters, more advanced topics like linear spaces, operator algebras, special functions, probability distributions, stochastic processes, analytic functions, Fourier series and integrals, Laplace transforms, Green's functions and integral equations are discussed. The book also features about 400 exercises and solved problems interspersed throughout the text at appropriate junctures, to facilitate the logical flow and to test the key concepts. Overall this book will be a valuable resource for a wide spectrum of students and instructors of mathematical physics.
ISBN: 9783030396800$q(electronic bk.)
Standard No.: 10.1007/978-3-030-39680-0doiSubjects--Topical Terms:
190854
Mathematical physics.
LC Class. No.: QC20 / .B35 2020
Dewey Class. No.: 530.15
Mathematical physicsapplications and problems /
LDR
:03704nmm a2200325 a 4500
001
572144
003
DE-He213
005
20200407221347.0
006
m d
007
cr nn 008maaau
008
200922s2020 sz s 0 eng d
020
$a
9783030396800$q(electronic bk.)
020
$a
9783030396794$q(paper)
024
7
$a
10.1007/978-3-030-39680-0
$2
doi
035
$a
978-3-030-39680-0
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
QC20
$b
.B35 2020
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
090
$a
QC20
$b
.B171 2020
100
1
$a
Balakrishnan, V.
$3
859068
245
1 0
$a
Mathematical physics
$h
[electronic resource] :
$b
applications and problems /
$c
by V. Balakrishnan.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2020.
300
$a
xxvii, 781 p. :
$b
ill., digital ;
$c
24 cm.
505
0
$a
Chapter 1: Warming up: Functions of a real variable -- Chapter 2: Gaussian integrals, Stirling's formula, and some integrals -- Chapter 3: Some more functions -- Chapter 4: Generalized functions -- Chapter 5: Vectors and tensors -- Chapter 6: Vector calculus -- Chapter 7: A bit of fluid dynamics -- Chapter 8: Some more vector calculus -- Chapter 9: A bit of electromagnetism and special relativity -- Chapter 10: Linear vector spaces -- Chapter 11: A look at matrices -- Chapter 12: More about matrices -- Chapter 13: Infinite-dimensional vector spaces -- Chapter 14: Linear operators on a vector space -- Chapter 15: Operator algebras and identities -- Chapter 16: Orthogonal polynomials -- Chapter 17: Fourier series -- Chapter 18: Fourier integrals -- Chapter 19: Discrete probability distributions -- Chapter 20: Continuous probability distributions -- Chapter 21: Stochastic processes -- Chapter 22: Analytic functions of a complex variable -- Chapter 23: More on analytic functions -- Chapter 24: Linear response and analyticity -- Chapter 25: Analytic continuation and the gamma function -- Chapter 26: Multivalued functions and integral representations -- Chapter 27: Mobius transformations -- Chapter 28: Laplace transforms -- Chapter 29: Green function for the Laplacian operator -- Chapter 30: The diffusion equation -- Chapter 31: The wave equation -- Chapter 32: Integral equations.
520
$a
This textbook is aimed at advanced undergraduate and graduate students interested in learning the fundamental mathematical concepts and tools widely used in different areas of physics. The author draws on a vast teaching experience, and presents a comprehensive and self-contained text which explains how mathematics intertwines with and forms an integral part of physics in numerous instances. Rather than emphasizing rigorous proofs of theorems, specific examples and physical applications (such as fluid dynamics, electromagnetism, quantum mechanics, etc.) are invoked to illustrate and elaborate upon the relevant mathematical techniques. The early chapters of the book introduce different types of functions, vectors and tensors, vector calculus, and matrices. In the subsequent chapters, more advanced topics like linear spaces, operator algebras, special functions, probability distributions, stochastic processes, analytic functions, Fourier series and integrals, Laplace transforms, Green's functions and integral equations are discussed. The book also features about 400 exercises and solved problems interspersed throughout the text at appropriate junctures, to facilitate the logical flow and to test the key concepts. Overall this book will be a valuable resource for a wide spectrum of students and instructors of mathematical physics.
650
0
$a
Mathematical physics.
$3
190854
650
1 4
$a
Mathematical Methods in Physics.
$3
273796
650
2 4
$a
Mathematical Physics.
$3
522725
650
2 4
$a
Engineering Mathematics.
$3
806481
710
2
$a
SpringerLink (Online service)
$3
273601
773
0
$t
Springer eBooks
856
4 0
$u
https://doi.org/10.1007/978-3-030-39680-0
950
$a
Physics and Astronomy (Springer-11651)
筆 0 讀者評論
全部
電子館藏
館藏
1 筆 • 頁數 1 •
1
條碼號
館藏地
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
000000178793
電子館藏
1圖書
電子書
EB QC20 .B171 2020 2020
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
多媒體檔案
https://doi.org/10.1007/978-3-030-39680-0
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼
登入