An Introduction to Tensor Analysis. (Record no. 23546)
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| fixed length control field | 05087nam a22004453i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC6450277 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240724114820.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s2020 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781000795912 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9788770225816 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC6450277 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL6450277 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)1229923914 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA200 .K673 2020 |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.63 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Koranga, Bipin Singh. |
| 245 13 - TITLE STATEMENT | |
| Title | An Introduction to Tensor Analysis. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Milton : |
| Name of producer, publisher, distributor, manufacturer | River Publishers, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2020. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2020. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (127 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Preface -- Syllabus -- Table of Contents -- 1: Introduction -- 1.1 Symbols Multi-Suffix -- 1.2 Summation Convention -- 2: Cartesian Tensor -- 2.1 Introduction -- 2.2 Transformation of Coordinates -- 2.3 Relations Between the Direction Cosines -- 2.4 Transformation of Velocity Components -- 2.5 First-Order Tensors -- 2.6 Second-Order Tensors -- 2.7 Notation for Tensors -- 2.8 Algebraic Operations on Tensors -- 2.8.1 Sum and Difference of Tensors -- 2.8.2 Product of Tensors -- 2.9 Quotient Law of Tensors -- 2.10 Contraction Theorem -- 2.11 Symmetric and Skew-Symmetric Tensor -- 2.12 Alternate Tensor -- 2.13 Kronecker Tensor -- 2.14 Relation Between Alternate and Kronecker Tensors -- 2.15 Matrices and Tensors of First and Second Orders -- 2.16 Product of Two Matrices -- 2.17 Scalar and Vector Inner Product -- 2.17.1 Two Vectors -- 2.17.2 Scalar Product -- 2.17.3 Vector Product -- 2.18 Tensor Fields -- 2.18.1 Gradient of Tensor Field -- 2.18.2 Divergence of Vector Point Function -- 2.18.3 Curl of Vector Point Function -- 2.19 Tensorial Formulation of Gauss's Theorem -- 2.20 Tensorial Formulation of Stoke's Theorem -- 2.21 Exercise -- 3: Tensor in Physics -- 3.1 Kinematics of Single Particle -- 3.1.1 Momentum -- 3.1.2 Acceleration -- 3.1.3 Force -- 3.2 Kinetic Energy and Potential Energy -- 3.3 Work Function and Potential Energy -- 3.4 Momentum and Angular Momentum -- 3.5 Moment of Inertia -- 3.6 Strain Tensor at Any Point -- 3.7 Stress Tensor at any Point P -- 3.7.1 Normal Stress -- 3.7.2 Simple Stress -- 3.7.3 Shearing Stress -- 3.8 Generalised Hooke's Law -- 3.9 Isotropic Tensor -- 3.10 Exercises -- 4: Tensor in Analytic Solid Geometry -- 4.1 Vector as Directed Line Segments -- 4.2 Geometrical Interpretation of the Sum of Two Vectors -- 4.3 Length and Angle between Two Vectors. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 4.4 Geometrical Interpretation of Scalar and Vector Products -- 4.4.1 Scalar Triple Product -- 4.4.2 Vector Triple Products -- 4.5 Tensor Formulation of Analytical Solid Geometry -- 4.5.1 Distance Between Two Points P(xi) and Q(yi) -- 4.5.2 Angle Between Two Lines with Direction Cosines -- 4.5.3 The Equation of Plane -- 4.5.4 Condition for Two Line Coplanar -- 4.6 Exercises -- 5: General Tensor -- 5.1 Curvilinear Coordinates -- 5.2 Coordinate Transformation Equation -- 5.3 Contravariant and Covariant Tensor -- 5.4 Contravariant Vector or Contravariant Tensor of Order-One -- 5.5 Covariant Vector or Covariant Tensor of Order-One -- 5.6 Mixed Second-Order Tensor -- 5.7 General Tensor of Any Order -- 5.8 Metric Tensor -- 5.9 Associate Contravariant Metric Tensor -- 5.10 Associate Metric Tensor -- 5.11 Christoffel Symbols of the First and Second-Kind -- 5.12 Covariant Derivative of a Covariant Vector -- 5.13 Covariant Derivative of a Contravariant Vector -- 5.14 Exercises -- 6: Tensor in Relativity -- 6.1 Special Theory of Relativity -- 6.2 Four-Vectors in Relativity -- 6.3 Maxwell's Equations -- 6.4 General Theory of Relativity -- 6.5 Spherically Symmetrical Metric -- 6.6 Planetary Motion -- 6.7 Exercises -- 7: Geodesics and Its Coordinate -- 7.1 Families of Curves -- 7.2 Euler's Form -- 7.3 Geodesics -- 7.4 Geodesic Form of the Line Elements -- 7.5 Geodesic Coordinate -- 7.6 Exercise -- Index -- About the Authors. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | he primary purpose of this book is the study of the invariance form of equation relative to the totally of the rectangular co-ordinate system in the three-dimensional Euclidean space. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Tensor algebra. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Padaliya, Sanjay Kumar. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Koranga, Bipin Singh |
| Title | An Introduction to Tensor Analysis |
| Place, publisher, and date of publication | Milton : River Publishers,c2020 |
| International Standard Book Number | 9788770225816 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=6450277">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=6450277</a> |
| Public note | Click to View |
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