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內容簡介

　　《張量分析及其在力學中的應用》張量分析是研究連續介質力學的重要數學工具。張量分析及其在連續介質力學中的應用緊密結閤工程力學來介紹張量分析的基本理論和實用計算。《張量分析及其在力學中的應用》共分七章，內容包括：矢量與張量，笛卡爾張量，張量場論，張量場函數的導數，張量分析在綫彈性理論中的應用，張量分析在流體力學中的應用。

內頁插圖

目錄

Foreword
Preface
Tensor Analysis
1.Preliminaries
1.1 The Vector Concept Revisited
1.2 A First Look at Tensors
1.3 Assumed Background
1.4 More on the Notion of a Vector
1.5 Problems

2.Transformations and Vectors
2.1 Change of Basis
2.2 Dual Bases
2.3 Transformation to the Reciprocal Frame
2.4 Transformation Between General Frames
2.5 Covariant and Contravariant Components
2.6 The Cross Product in Index Notation
2.7 Norms on the Space of Vectors
2.8 Closing Remarks
2.9 Problems

3.Tensors
3.1 Dyadic Quantities and Tensors
3.2 Tensors From an Operator Viewpoint
3.3 Dyadic Components Under Transformation
3.4 More Dyadic Operations
3.5 Properties of Second—Order Tensors
3.6 Eigenvalues and Eigenvectors of a Second—Order Symmel ricTensor
3.7 The Cayley—Hamilton Theorem
3.8 Other Properties of Second—Order Tensors
3.9 Extending the Dyad Idea
3.10 Tensors of the Fourth and Higher Orders
3.11 Functions of Tensorial Arguments
3.12 Norms for Tensors， and Some Spaces
3.13 Differentiation of Tensorial Functions
3.14 Problems

4.Tensor Fields
4.1 Vector Fields
4.2 Differentials and the Nabla Operator
4.3 Differentiation of a Vector Function
4.4 Derivatives of the Frame Vectors
4.5 Christoffel Coefficients and their Properties
4.6 Covariant Differentiation
4.7 Covariant Derivative of a Second—Order Tensor
4.8 Differential Operations
4.9 Orthogonal Coordinate Systems
4.10 Some Formulas oflntegration
4.11 Problems

5.Elements of Differential Geometry
5.1 Elementary Facts from the Theory of Curves
5.2 The Torsion of a Curve
5.3 Frenet—Serret Equations
5.4 Elements of the Theory of Surfaces
5.5 The Second Fundamental Form of a Surface
5.6 Derivation Formulas
5.7 Implicit R，epresentation of a Curve； Contact of Curves
5.8 Osculating Paraboloid
5.9 The Principal Curvatures of a Surface
5.10 Surfaces of Revolution
5.11 Natural Equations of a Curve
5.12 A Word About Rigor
5.13 Conclusion
5.14 Problems
Applications in Mechanics

6.Linear Elasticity
6.1 Stress Tensor
6.2 StrainTensor
6.3 Equation of Motion
6.4 Hooke's Law
6.5 Eqrulibrium Equations in Displacements
6.6 Boundary Conditions and Boundary Value Problems
6.7 Equilibrium Equations in Stresses
6.8 Uniqueness of Solution for the Boundary Value Problems of Elasticity
6.9 Betti's Reciprocity Theorem
6.10 Muumum Total Energy Principle
6.11 Ritz's Method
6.12 Rayleigh's Variational Principle
6.13 Plane Waves
6.14 Plane Problems of Elasticity
6.15 Problems

7.Linear Elastic Shells
7.1 Some Useful Formulas of Surface Theory
7.2 Kinematics in a Neighborhood of ∑
7.3 Shell Eqrulibrium Equations
7.4 Shell Deformation and Strains； Kirchhoff's Hypotheses
7.5 Shell Energy
7.6 Boundary Conditions
7.7 A Few Remarks on the Kirchhoff—Love Theory
7.8 PlateTheory
7.9 On Non—Classical Theories of Plates and Shells
Appendix A Formulary
Appendix B Hints and Answers
Bibliography
Index

前言/序言

張量分析及其在力學中的應用 [Tensor Analysis With Applications in Mechanics] 下載 mobi epub pdf txt 電子書

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書包裝不錯是正品~看完再追評

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適閤工科教學。

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非常不錯的書，內容、包裝、快遞都很好......

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張量經典著作，值得好好看看！

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不錯

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我為什麼喜歡在京東買東西，因為今天買明天就可以送到。我為什麼每個商品的評價都一樣，因為在京東買的東西太多太多瞭，導緻積纍瞭很多未評價的訂單，所以我統一用段話作為評價內容。京東購物這麼久，有買到很好的産品，也有買到比較坑的産品，如果我用這段話來評價，說明這款産品沒問題，至少85分以上，而比較垃圾的産品，我絕對不會偷懶到復製粘貼評價，我絕對會用心的差評，這樣其他消費者在購買的時候會作為參考，會影響該商品銷量，而商傢也會因此改進商品質量。

評分☆☆☆☆☆

張量經典著作，值得好好看看！

評分☆☆☆☆☆

雙11活動買的，很劃算，希望能看一遍。

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