Tensor Analysis (Record no. 76510)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03684nam a22005175i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-030-03412-2 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20220801214600.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 181215s2019 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783030034122 |
| -- | 978-3-030-03412-2 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 620.105 |
| 100 1# - AUTHOR NAME | |
| Author | Irgens, Fridtjov. |
| 245 10 - TITLE STATEMENT | |
| Title | Tensor Analysis |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. 2019. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XXI, 385 p. 115 illus. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Mathematical Foundation -- Dynamics -- Tensors -- Deformation Analysis -- Constitutive Equations -- General Coordinates in Euclidean Space E3 -- Elements of Continuum Mechanics in General Coordinates -- Surface Geometry. Tensors in Riemannian Space R2 -- Integral Theorems -- Tensor Analysis in n-Dimensional Space -- Appendix Problems with Solutions. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book presents tensors and tensor analysis as primary mathematical tools for engineering and engineering science students and researchers. The discussion is based on the concepts of vectors and vector analysis in three-dimensional Euclidean space, and although it takes the subject matter to an advanced level, the book starts with elementary geometrical vector algebra so that it is suitable as a first introduction to tensors and tensor analysis. Each chapter includes a number of problems for readers to solve, and solutions are provided in an Appendix at the end of the text. Chapter 1 introduces the necessary mathematical foundations for the chapters that follow, while Chapter 2 presents the equations of motions for bodies of continuous material. Chapter 3 offers a general definition of tensors and tensor fields in three-dimensional Euclidean space. Chapter 4 discusses a new family of tensors related to the deformation of continuous material. Chapter 5 then addresses constitutive equations for elastic materials and viscous fluids, which are presented as tensor equations relating the tensor concept of stress to the tensors describing deformation, rate of deformation and rotation. Chapter 6 investigates general coordinate systems in three-dimensional Euclidean space and Chapter 7 shows how the tensor equations discussed in chapters 4 and 5 are presented in general coordinates. Chapter 8 describes surface geometry in three-dimensional Euclidean space, Chapter 9 includes the most common integral theorems in two- and three-dimensional Euclidean space applied in continuum mechanics and mathematical physics. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-030-03412-2 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Cham : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2019. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Mechanics, Applied. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Solids. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Algebras, Linear. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Physics. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Solid Mechanics. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Linear Algebra. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Classical and Continuum Physics. |
| 912 ## - | |
| -- | ZDB-2-ENG |
| 912 ## - | |
| -- | ZDB-2-SXE |
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