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CRC Standard Curves and Surfaces with Mathematica

Edition: 
2
Publisher: 
Chapman & Hall/CRC
Number of Pages: 
556
Price: 
79.95
ISBN: 
1584885998
Date Received: 
Thursday, November 2, 2006
Reviewable: 
No
Include In BLL Rating: 
No
Reviewer Email Address: 
David H. von Seggern
Series: 
Chapman & Hall/CRC Applied Mathematics & Nonlinear Science 8
Publication Date: 
2007
Format: 
Hardcover with CDROM
Category: 
Monograph

 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
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
Euler Polynomials En(x)
Neumann Polynomials On(x)
Schlafli Polynomials Sn(x)
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

Publish Book: 
Modify Date: 
Tuesday, February 20, 2007

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