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