CRC standard curves and surfaces with Mathematica. (2016)

• Record Type: Book
• Further Information: Note: David H. von Seggern.
• Other Names: Von Seggern, David H (David Henry); 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 CURVES; Functions with xn/m; Functions with xn and (a+bx)m; Functions with a2+x2 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)1/2 and xm; Functions with (a2-x2) 1/2 and xm; Functions with (x2- a2) 1/2 and xm; Functions with (a2C x2) 1/2 and xm; Miscellaneous Functions; Functions Expressible in Polar Coordinates; Functions Expressed Parametrically; ; TRANSCENDENTAL FUNCTIONS; Functions with sinn(ax) and cosm(bx) (n, m integers); Functions with 1±a sinn(cx) and 1±b cosm(cx); Functions with a sinn(cx)+b cosm(cx); Functions of More Complicated Arguments; Inverse Trigonometric Functions; Logarithmic Functions; Exponential Functions; Hyperbolic Functions; Inverse Hyperbolic Functions; Trigonometric and Exponential Functions Combined; 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; Combinations of Trigonometric Functions, Exponential Functions, and Powers of x; Miscellaneous Functions; Functions Expressible in Polar Coordinates; Functions Expressed Parametrically; ; POLYNOMIAL SETS; Orthogonal Polynomials; Nonorthogonal Polynomials; References; ; SPECIAL FUNCTIONS IN MATHEMATICAL PHYSICS; 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; 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; Discrete Probability Densities; Continuous Probability Densities; Sampling Distributions; ; NONDIFFERENTIALBE AND DISCONTINUOUS FUNCTIONS; 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; Elementary Random Processes; General Linear Processes; Integrated Processes; Fractal Processes; Poisson Processes; References; ; POLYGONS; Regular Polygons; Star Polygons; Irregular Triangles; Irregular Quadrilaterals; Polyiamonds; Polyominoes; Polyhexes; Miscellaneous Polygons; ; THREE-DIMENSIONAL CURVES; Helical Curves; Sine Waves in Three Dimensions; Miscellaneous 3-D Curves; Knots; Links; References; ; ALGEBRAIC SURFACES; 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; Trigonometric Functions; Logarithmic Functions; Exponential Functions; Trigonometric and Exponential Functions Combined; Surface Spherical Harmonics; ; COMPLEX VARIABLE SURFACES; Algebraic Functions; Transcendental Functions; ; MINIMAL SURFACES; Elementary Minimal Surfaces; Complex Minimal Surfaces; References; ; REGULAR AND SEMI-REGULAR SOLIDS WITH EDGES; Platonic Solids; Archimedean Solids; Duals of Platonic Solids; Stellated (Star) Polyhedra; References; ; IRREGULAR AND MISCELLANEOUS SOLIDS; Irregular Polyhedra; Miscellaneous Closed Surfaces with Edges; ; INDEX
• Edition: 2nd ed
• Publisher Details: Place of publication not identified : Chapman and Hall/CRC
• Publication Date: 2016
• Extent: 1 online resource (556 pages), (938 illustrations)
• Subjects: 516.352; Curves on surfaces -- Handbooks, manuals, etc; Mathematica (Computer program language) -- Handbooks, manuals, etc
• Languages: English
• ISBNs: 9781420011104; 1420011103
• 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.