Spiegel, Murray R
Vector analysis / Murray R. Spiegel, Seymour Lipschutz, Dennis Spellman - 2nd - New York: McGraw-Hill; 2009. - 238 p. - Schaum's outline series .
Vectors And Scalars
1 (20)
Introduction
Vector Algebra
Unit Vectors
Rectangular Unit Vectors i, j, k
Linear Dependence and Linear Independence
Scalar Field
Vector Field
Vector Space Rn
The Dot and Cross Product
21 (23)
Introduction
Dot or Scalar Product
Cross Product
Triple Products
Reciprocal Sets of Vectors
Vector Differentiation
44 (25)
Introduction
Ordinary Derivatives of Vector-Valued Functions
Continuity and Differentiability
Partial Derivative of Vectors
Differential Geometry
Gradient, Divergence, Curl
69 (28)
Introduction
Gradient
Divergence
Curl
Formulas Involving δ
Invariance
Vector Integration
97 (29)
Introduction
Ordinary Integrals of Vector Valued Functions
Line Integrals
Surface Integrals
Volume Integrals
Divergence Theorem, Stokes' Theorem, and Related Integral Theorems
126 (31)
Introduction
Main Theorems
Related Integral Theorems
Curvilinear Coordinates
157 (32)
Introduction
Transformation of Coordinates
Orthogonal Curvilinear Coordinates
Unit Vectors in Curvilinear Systems
Arc Length and Volume Elements
Gradient, Divergence, Curl
Special Orthogonal Coordinate Systems
Tensor Analysis
189 (46)
Introduction
Spaces of N Dimensions
Coordinate Transformations
Contravariant and Covariant Vectors
Contravariant, Covariant, and Mixed Tensors
Tensors of Rank Greater Than Two, Tensor Fields
Fundamental Operations with Tensors
Matrices
Line Element and Metric Tensor
Associated Tensors
Christoffel's Symbols
Length of a Vector, Angle between Vectors, Geodesics
Covariant Derivative
Permutation Symbols and Tensors
Tensor Form of Gradient, Divergence, and Curl
Intrinsic or Absolute Derivative
Relative and Absolute Tensors
Index 235
9780071615457
Functions of complex variables
Functions of several complex variables
515.9 / Sp Ve
Vector analysis / Murray R. Spiegel, Seymour Lipschutz, Dennis Spellman - 2nd - New York: McGraw-Hill; 2009. - 238 p. - Schaum's outline series .
Vectors And Scalars
1 (20)
Introduction
Vector Algebra
Unit Vectors
Rectangular Unit Vectors i, j, k
Linear Dependence and Linear Independence
Scalar Field
Vector Field
Vector Space Rn
The Dot and Cross Product
21 (23)
Introduction
Dot or Scalar Product
Cross Product
Triple Products
Reciprocal Sets of Vectors
Vector Differentiation
44 (25)
Introduction
Ordinary Derivatives of Vector-Valued Functions
Continuity and Differentiability
Partial Derivative of Vectors
Differential Geometry
Gradient, Divergence, Curl
69 (28)
Introduction
Gradient
Divergence
Curl
Formulas Involving δ
Invariance
Vector Integration
97 (29)
Introduction
Ordinary Integrals of Vector Valued Functions
Line Integrals
Surface Integrals
Volume Integrals
Divergence Theorem, Stokes' Theorem, and Related Integral Theorems
126 (31)
Introduction
Main Theorems
Related Integral Theorems
Curvilinear Coordinates
157 (32)
Introduction
Transformation of Coordinates
Orthogonal Curvilinear Coordinates
Unit Vectors in Curvilinear Systems
Arc Length and Volume Elements
Gradient, Divergence, Curl
Special Orthogonal Coordinate Systems
Tensor Analysis
189 (46)
Introduction
Spaces of N Dimensions
Coordinate Transformations
Contravariant and Covariant Vectors
Contravariant, Covariant, and Mixed Tensors
Tensors of Rank Greater Than Two, Tensor Fields
Fundamental Operations with Tensors
Matrices
Line Element and Metric Tensor
Associated Tensors
Christoffel's Symbols
Length of a Vector, Angle between Vectors, Geodesics
Covariant Derivative
Permutation Symbols and Tensors
Tensor Form of Gradient, Divergence, and Curl
Intrinsic or Absolute Derivative
Relative and Absolute Tensors
Index 235
9780071615457
Functions of complex variables
Functions of several complex variables
515.9 / Sp Ve