CRC Standard Curves and Surfaces with Mathematica

ISBN: 9781482250213 出版年：2017 页码：460 von Seggern David H CRC Press

Introduction Concept of a Curve Concept of a Surface Coordinate Systems Qualitative Properties of Curves and Surfaces Classification of Curves and Surfaces Basic Curve and Surface Operations Method of Presentation References Algebraic Functions Plotting Information for This Chapter Functions with xn/m Functions with xn and (a + bx)m Functions with (a2 + x 2) and xm Functions with (a2 x2) and xm Functions with (a3 + x3) and xm Functions with (a3 x3) and xm Functions with (a4 + x4) and xm Functions with (a4 x4) and xm Functions with a + bx and xm Functions with a2 x2 and xm Functions with x2 a2 and xm Functions with a2 + x2 and xm Miscellaneous Functions Functions Expressible in Polar Coordinates Functions Expressed Parametrically Transcendental Functions Plotting Information for This Chapter Functions with sinn (2 ax) and cosm(2 bx)(n,m integers) Functions with 1 +/- sinn (2 ax) and 1 +/-} cosm (2 bx) Functions with c sinn (ax) + d cosm (bx) Functions of More Complicated Arguments Inverse Trigonometric Functions Logarithmic Functions Exponential Functions Hyperbolic Functions Inverse Hyperbolic Functions Trigonometric Combined with Exponential Functions Trigonometric Functions Combined with Powers of x Logarithmic Functions Combined with Powers of x Exponential Functions Combined with Powers of x Hyperbolic Functions Combined with Powers of x Combined Trigonometric Functions, Exponential Functions, and Powers of x Miscellaneous Functions Functions Expressible in Polar Coordinates Functions Expressible Parametrically Polynomial Sets Plotting Information for This Chapter Orthogonal Polynomials Nonorthogonal Polynomials References Special Functions in Mathematical Physics Plotting Information for This Chapter Exponential and Related Integrals Sine and Cosine Integrals Gamma and Related Functions Error Functions Fresnel Integrals Legendre Functions Bessel Functions Modified Bessel Functions Kelvin Functions Spherical Bessel Functions Modified Spherical Bessel Functions Airy Functions Riemann Functions Parabolic Cylinder Functions Elliptic Integrals Jacobi Elliptic Functions References Green's Functions and Harmonic Functions Plotting Information for This Chapter Green's Function for the Poisson Equation Green's Function for the Wave Equation Green's Function for the Diffusion Equation Green's Function for the Helmholtz Equation Miscellaneous Green's Functions Harmonic Functions: Solutions to Laplace's Equation References Special Functions in Probability and Statistics Plotting Information for This Chapter Discrete Probability Densities Continuous Probability Densities Sampling Distributions Laplace Transforms Plotting Information for This Chapter Elementary Functions Algebraic Functions Exponential Functions Trigonometric Functions References Nondifferentiable and Discontinuous Functions Plotting Information for This Chapter Functions with a Finite Number of Discontinuities Functions with an Infinite Number of Discontinuities Functions with a Finite Number of Discontinuities in First Derivative Functions with an Infinite Number of Discontinuities in First Derivative Random Processes Plotting Information for This Chapter Elementary Random Processes General Linear Processes Integrated Processes Fractal Processes Poisson Processes References Polygons Plotting Information for This Chapter Polygons with Equal Sides Irregular Triangles Irregular Quadrilaterals Polyiamonds Polyominoes Polyhexes Miscellaneous Polygons Three-Dimensional Curves Plotting Information for This Chapter Helical Curves Sine Waves in Three Dimensions Miscellaneous 3-D Curves Knots Links References Algebraic Surfaces Plotting Information for This Chapter Functions with ax + by Functions with x2/a2 +/- y2/b2 Functions with x2/a2 + y2/b2 +/-c2)1/2 Functions with x3/a3 +/- y3/b3 Functions with x4/a4 +/- y4/b4 Miscellaneous Functions Miscellaneous Functions Expressed Parametrically Transcendental Surfaces Plotting Information for This Chapter Trigonometric Functions Logarithmic Functions Exponential Functions Trigonometric and Exponential Functions Combined Surface Spherical Harmonics Complex Variable Surfaces Plotting Information for This Chapter Algebraic Functions Transcendental Functions Minimal Surfaces Plotting Information for This Chapter Elementary Minimal Surfaces Complex Minimal Surfaces References Regular and Semi-Regular Solids with Edges Plotting Information for This Chapter Platonic Solids Archimedean Solids Duals of Platonic Solids Stellated (Star) Polyhedra References Irregular and Miscellaneous Solids Plotting Information for This Chapter Irregular Polyhedra Miscellaneous Closed Surfaces with Edges Index