CRC standard curves and surfaces with Mathematica. (2016)

• Record Type: Book
• Further Information: Note: David H. von Seggern.
• Authors: Von Seggern, David H (David Henry)
• Contents: 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 (2π ax) and cosm (2πbx)(n, m integers); Functions with 1 ± sinn (2π ax) and 1 ±} cosm (2πbx); 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
• Edition: Third edition
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2016
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 516.352; Curves on surfaces -- Handbooks, manuals, etc; Mathematica (Computer program language) -- Handbooks, manuals, etc
• Languages: English
• ISBNs: 9781482250220
• Notes: Note: Includes bibliographical references and index.; Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.