☆☆☆☆☆




點擊這裡下載

類似圖書 點擊查看全場最低價

---

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

評分☆☆☆☆☆

張量經典著作，值得好好看看！

評分☆☆☆☆☆

在書店看上瞭這本書一直想買可惜太貴又不打摺，迴傢決定上京東看看，果然有摺扣，毫不猶豫的買下瞭。京東速度果然非常快的，從配貨到送貨也很仔細，快遞非常好，很快收到書瞭。書的包裝非常好，非常新，可以說無論自己閱讀傢人閱讀，收藏還是送人都特彆有麵子，特彆精美；封麵和封底的設計、繪圖都十分好,推薦大傢購買。打開書本，書裝幀精美，紙張很乾淨，文字排版看起來非常舒服，讓人看得欲罷不能，每每捧起這本書的時候,作者深入淺齣的寫作手法讓本人猶如身臨其境一般，好似一杯美式咖啡，看似快餐，其實值得迴味無窮。最後再好評一下京東客服服務態度好，送貨相當快,包裝仔細！這個也值得贊美下，希望京東這樣保持下去。

評分☆☆☆☆☆

在書店看上瞭這本書一直想買可惜太貴又不打摺，迴傢決定上京東看看，果然有摺扣，毫不猶豫的買下瞭。京東速度果然非常快的，從配貨到送貨也很仔細，快遞非常好，很快收到書瞭。書的包裝非常好，非常新，可以說無論自己閱讀傢人閱讀，收藏還是送人都特彆有麵子，特彆精美；封麵和封底的設計、繪圖都十分好,推薦大傢購買。打開書本，書裝幀精美，紙張很乾淨，文字排版看起來非常舒服，讓人看得欲罷不能，每每捧起這本書的時候,作者深入淺齣的寫作手法讓本人猶如身臨其境一般，好似一杯美式咖啡，看似快餐，其實值得迴味無窮。最後再好評一下京東客服服務態度好，送貨相當快,包裝仔細！這個也值得贊美下，希望京東這樣保持下去。

評分☆☆☆☆☆

內容翔實，實用

評分☆☆☆☆☆

非常滿意！非常滿意！

評分☆☆☆☆☆

如果讀下來，英文和專業都能大長進

評分☆☆☆☆☆

書的質量不錯，正是需要的

評分☆☆☆☆☆

真的還可以，大神們的書，電子版看得纍人y

評分☆☆☆☆☆

雙11活動買的，很劃算，希望能看一遍。

類似圖書 點擊查看全場最低價

查看全網最低價