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عنوان
A primer in tensor analysis and relativity /

پدید آورنده
Ilya L. Shapiro.

موضوع
Calculus of tensors.,Relativity (Physics),Tensor algebra.,Calculus of tensors.,Relativity (Physics),Tensor algebra.

رده
QC20
.
7
.
C28
S53
2019eb

کتابخانه
Center and Library of Islamic Studies in European Languages

محل استقرار
استان: Qom ـ شهر: Qom

Center and Library of Islamic Studies in European Languages

تماس با کتابخانه : 32910706-025

INTERNATIONAL STANDARD BOOK NUMBER

(Number (ISBN
3030268942
(Number (ISBN
3030268950
(Number (ISBN
3030268969
(Number (ISBN
9783030268947
(Number (ISBN
9783030268954
(Number (ISBN
9783030268961
Erroneous ISBN
9783030268947

TITLE AND STATEMENT OF RESPONSIBILITY

Title Proper
A primer in tensor analysis and relativity /
General Material Designation
[Book]
First Statement of Responsibility
Ilya L. Shapiro.

.PUBLICATION, DISTRIBUTION, ETC

Place of Publication, Distribution, etc.
Cham :
Name of Publisher, Distributor, etc.
Springer,
Date of Publication, Distribution, etc.
[2019]
Date of Publication, Distribution, etc.
©2019

PHYSICAL DESCRIPTION

Specific Material Designation and Extent of Item
1 online resource :
Other Physical Details
illustrations

SERIES

Series Title
Undergraduate lecture notes in physics,
ISSN of Series
2192-4791

INTERNAL BIBLIOGRAPHIES/INDEXES NOTE

Text of Note
Includes bibliographical references and index.

CONTENTS NOTE

Text of Note
Intro; Preface; Reference; Acknowledgements; Preliminary Observations and Notations; Contents; Part I Tensor Algebra and Analysis; 1 Linear Spaces, Vectors, and Tensors; 1.1 Notion of Linear Space; 1.2 Vector Basis and Its Transformation; 1.3 Scalar, Vector, and Tensor Fields; 1.4 Orthonormal Basis and Cartesian Coordinates; 1.5 Covariant and Mixed Vectors and Tensors; 1.6 Orthogonal Transformations; References; 2 Operations over Tensors, Metric Tensor; 3 Symmetric, Skew(Anti) Symmetric Tensors, and Determinants; 3.1 Definitions and General Considerations; 3.2 Completely Antisymmetric Tensors
Text of Note
10.4 Solutions to Exercises from 410.5 Solutions to Exercises from 5; 10.6 Solutions to Exercises from 6; 10.7 Solutions to Exercises from 7; 10.8 Solutions to Exercises from 8; Part II Elements of Electrodynamics and Special Relativity; 11 Maxwell Equations and Lorentz Transformations; 11.1 Maxwell Equations and Lorentz Force; 11.2 Universal Speed of Electromagnetic Wave; 11.3 Invariant Interval and Minkowski Space; 11.4 Lorentz Transformations; References; 12 Laws of Relativistic Mechanics; 12.1 Relativistic Kinematics; 12.2 Relativistic Dynamics of a Free Particle
Text of Note
12.3 Charged Particle in an External Electromagnetic Field12.3.1 Gauge Invariance of the Particle Action; 12.3.2 Continuous Description and Electric Current; References; 13 Maxwell Equations in Relativistic Form; 13.1 Action and Relativistic Equations for Aµ; 13.1.1 Minimal Action Principle for Fields; 13.2 Maxwell Equations in Relativistic Form; 13.2.1 Invariant Action for the Electromagnetic Field; 13.2.2 Relativistic Form of Maxwell Equations; 13.2.3 Lorentz Transformation of Electromagnetic Field; 13.3 Energy-Momentum Tensor
Text of Note
3.3 Determinants3.4 Applications to Vector Algebra; 3.5 Symmetric Tensor of Second Rank and Its Reduction to Principal Axes; References; 4 Curvilinear Coordinates, Local Coordinate Transformations; 4.1 Curvilinear Coordinates and Change of Basis; 4.2 Polar Coordinates on the Plane; 4.3 Cylindric and Spherical Coordinates; 5 Derivatives of Tensors, Covariant Derivatives; Reference; 6 Grad, div, rot, and Relations Between Them; 6.1 Basic Definitions and Relations; 6.2 On the Classification of Differentiable Vector Fields; References
0
8
8
8

SUMMARY OR ABSTRACT

Text of Note
This undergraduate textbook provides a simple, concise introduction to tensor algebra and analysis, as well as special and general relativity. With a plethora of examples, explanations, and exercises, it forms a well-rounded didactic text that will be useful for any related course. The book is divided into three main parts, all based on lecture notes that have been refined for classroom teaching over the past two decades. Part I provides students with a comprehensive overview of tensors. Part II links the very introductory first part and the relatively advanced third part, demonstrating the important intermediate-level applications of tensor analysis. Part III contains an extended discussion of general relativity, and includes material useful for students interested primarily in quantum field theory and quantum gravity. Tailored to the undergraduate, this textbook offers explanations of technical material not easily found or detailed elsewhere, including an understandable description of Riemann normal coordinates and conformal transformations. Future theoretical and experimental physicists, as well as mathematicians, will thus find it a wonderful first read on the subject.

ACQUISITION INFORMATION NOTE

Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9783030268954

OTHER EDITION IN ANOTHER MEDIUM

International Standard Book Number
9783030268947
International Standard Book Number
9783030268961

TOPICAL NAME USED AS SUBJECT

Calculus of tensors.
Relativity (Physics)
Tensor algebra.
Calculus of tensors.
Relativity (Physics)
Tensor algebra.

(SUBJECT CATEGORY (Provisional

PHU
PHU
SCI040000

DEWEY DECIMAL CLASSIFICATION

Number
515/
.
63
Edition
23

LIBRARY OF CONGRESS CLASSIFICATION

Class number
QC20
.
7
.
C28
Book number
S53
2019eb

PERSONAL NAME - PRIMARY RESPONSIBILITY

Shapiro, I. L., (Ilya Lvovitch)

ORIGINATING SOURCE

Date of Transaction
20200823093641.0
Cataloguing Rules (Descriptive Conventions))
pn

ELECTRONIC LOCATION AND ACCESS

Electronic name
 مطالعه متن کتاب 

[Book]

Y

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