Richard H. Crowell (1928–2006)

Indeholder "Preface", "Possible Courses of Study", "Introduction", "Chapter 1 Vectors and Linearity", " 1 Vectors", " 2 Geometric interpretations", " 3 Matrices", " 4 Linear functions", " 5 Dot products", " 6 Euclidean geometry", " 7 Determinants", " 8 Determinant expansions", "Chapter 2 Linear Algebra", " 1 Linear equations, inverse matrices", " 2 Some applications", " 3 Theory of linear equations", " 4 Vector spaces, subspaces, dimension", " 5 Linear functions", " 6 Differential operators", " 7 Complex vector spaces", " 8 Orthonormal bases", " 9 Eigenvectors", " 10 Coordinates", "Chapter 3 Derivatives", " 1 Vector functions", " 2 Functions of one variable", " 3 Arc length", " 4 Line integrals", " 5 Partial derivatives", " 6 Vector partial derivatives", " 7 Limits and continuity", " 8 Differentials", " 9 Newton's method", "Chapter 4 Vector Calculus", " 1 Directional derivatives", " 2 The gradient", " 3 The chain rule", " 4 Implicitly defined functions", " 5 Curvilinear coordinates", " 6 Inverse and implicit function theorems", " 7 Surfaces and tangents", "Chapter 5 Real-Valued Functions", " 1 Extreme values", " 2 Quadratic polynomials", " 3 Taylor expansions", " 4 Taylor expansions and extreme values", " 5 Fourier series", " 6 Modified Fourier expansions", " 7 Heat and wave equations", " 8 Uniform convergence", " 9 Orthogonal functions", "Chapter 6 Multiple Integration", " 1 Iterated integrals", " 2 Multiple integrals", " 3 Change of variable", " 4 Improper integrals", " 5 Estimates of integrals", " 6 Numerical integration", "Chapter 7 Vector Field Theory", " 1 Green's theorem", " 2 Conservative vector fields", " 3 Surface integrals", " 4 Stokes's theorem", " 5 Gauss's theorem", " 6 The operators V, Vx, and V.", " 7 Differential forms", " 8 The exterior derivative", "Appendix", " 1 Introduction", " 2 The chain rule", " 3 Arc length formula", " 4 Convergence of Fourier series", " 5 Proof of the inverse and implicit function theorems", " 6 Proof of Lagrange's theorem", " 7 Proof of Taylor's theorem", " 8 Existence of the Riemann integral", " 9 The change-of-variable formula for integrals", "Index".

Udmærket indføring i lineær algebra. Kendt som WCT-bogen, da jeg havde lineær algebra i 1979/1980.… (més)