Comments:

448 pages, 2008

Abstract:

Cited from author's Contents: "Bibliography . . . . . . . . . . . . . . . v 1 Basic Studies . . . . . . . . . . . . . . . 1 Trigonometry Parametric Differentiation Gaussian Integrals erf and Gamma Differentiating Integrals Polar Coordinates Sketching Graphs 2 Infinite Series . . . . . . . . . . . . . 24 The Basics Deriving Taylor Series Convergence Series of Series Power series, two variables Stirling's Approximation Useful Tricks Diffraction Checking Results 3 Complex Algebra . . . . . . . . . . . . 52 Complex Numbers Some Functions Applications of Euler's Formula Geometry Series of cosines Logarithms Mapping 4 Differential Equations . . . . . . . . . . 67 Linear Constant-Coefficient Forced Oscillations Series Solutions Some General Methods Trigonometry via ODE's Green's Functions Separation of Variables Circuits Simultaneous Equations Simultaneous ODE's Legendre's Equation Asymptotic Behavior 5 Fourier Series . . . . . . . . . . . . . 100 Examples Computing Fourier Series Choice of Basis Musical Notes Periodically Forced ODE's Return to Parseval Gibbs Phenomenon 6 Vector Spaces . . . . . . . . . . . . . 123 The Underlying Idea Axioms Examples of Vector Spaces Linear Independence Norms Scalar Product Bases and Scalar Products Gram-Schmidt Orthogonalization Cauchy-Schwartz inequality Infinite Dimensions 7 Operators and Matrices . . . . . . . . . 143 The Idea of an Operator Definition of an Operator Examples of Operators Matrix Multiplication Inverses Rotations, 3-d Areas, Volumes, Determinants Matrices as Operators Eigenvalues and Eigenvectors Change of Basis Summation Convention Can you Diagonalize a Matrix? Eigenvalues and Google Special Operators 8 Multivariable Calculus . . . . . . . . . 179 Partial Derivatives Chain Rule Differentials Geometric Interpretation Gradient Electrostatics Plane Polar Coordinates Cylindrical, Spherical Coordinates Vectors: Cylindrical, Spherical Bases..." See also: "Mathematics of Classical and Quantum Physics". by Frederick W. Byron, Jr., Robert W. Fuller; Dover Publications

Rights:

http://www.physics.miami.edu/~nearing/mathmethods/ www.physics.miami.edu/nearing/mathmethods/ http://www.doverpublications.com/zb/samples/48212x/sample83.htm

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