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Vector analysis / Murray R. Spiegel, Seymour Lipschutz, Dennis Spellman

By: Spiegel, Murray R.
Contributor(s): Lipschutz, Seymour | Spellman, Dennis.
Material type: TextTextSeries: Schaum's outline series. Publisher: New York: McGraw-Hill; 2009Edition: 2nd.Description: 238 p.ISBN: 9780071615457.Subject(s): Functions of complex variables | Functions of several complex variablesDDC classification: 515.9
Contents:
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
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Book Book KCST Library
519.9 Sp Ve (Browse shelf) Available 1000001253
Total holds: 0

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

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