Tensor Analysis / by Fridtjov Irgens
| データ種別 | 電子書籍 |
|---|---|
| 版 | 1st ed. 2019. |
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2019 |
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| 書誌ID | OB01044173 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | 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. License restrictions may limit access Summary: 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 |
| 著者標目 | *Irgens, Fridtjov SpringerLink (Online service) |
| 件 名 | LCSH:Mechanics LCSH:Mechanics, Applied LCSH:Matrix theory LCSH:Algebra LCSH:Continuum physics FREE:Solid Mechanics FREE:Linear and Multilinear Algebras, Matrix Theory FREE:Classical and Continuum Physics |
| 分 類 | LCC:TA349-359 DC23:531 |
| 巻冊次 | ISBN:9783030034122 RefWorks出力（各巻） print ; ISBN:9783030034115 RefWorks出力（各巻） print ; ISBN:9783030034139 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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