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CRC Standard Curves and Surfaces with Mathematica, Third Edition - ISBN 9781482250213

CRC Standard Curves and Surfaces with Mathematica, Third Edition

ISBN 9781482250213

Autor: David H. von Seggern

Wydawca: CRC Press

Dostępność: Wysyłka w ciągu 2-3 dni

Cena: 414,75 zł


ISBN13:      

9781482250213

ISBN10:      

1482250217

Autor:      

David H. von Seggern

Oprawa:      

Hardback

Rok Wydania:      

2016-06-20

Numer Wydania:      

3

Ilość stron:      

474

Since the publication of this book's bestselling predecessor, Mathematica(R) has matured considerably and the computing power of desktop computers has increased greatly. The Mathematica(R) typesetting functionality has also become sufficiently robust that the final copy for this edition could be transformed directly from Mathematica R notebooks to LaTex input. Incorporating these aspects, CRC Standard Curves and Surfaces with Mathematica(R), Third Edition is a virtual encyclopedia of curves and functions that depicts nearly all of the standard mathematical functions and geometrical figures in use today. The overall format of the book is largely unchanged from the previous edition, with function definitions and their illustrations presented closely together. New to the Third Edition: * A new chapter on Laplace transforms * New curves and surfaces in almost every chapter * Several chapters that have been reorganized * Better graphical representations for curves and surfaces throughout * A CD-ROM, including the entire book in a set of interactive CDF (Computable Document Format) files The book presents a comprehensive collection of nearly 1,000 illustrations of curves and surfaces often used or encountered in mathematics, graphics design, science, and engineering fields. One significant change with this edition is that, instead of presenting a range of realizations for most functions, this edition presents only one curve associated with each function. The graphic output of the Manipulate function is shown exactly as rendered in Mathematica, with the exact parameters of the curve's equation shown as part of the graphic display. This enables readers to gauge what a reasonable range of parameters might be while seeing the result of one particular choice of parameters.

Author Biography: David H. von Seggern, PhD, worked for Teledyne Geotech from 1967 to 1982 in Alexandria, Virginia, almost exclusively on analysis of seismic data related to underground nuclear explosions. This effort was supported by the Air Force Office of Scientific Research (AFOSR) and by the Defense Advanced Research Projects Agency (DARPA). His research there addressed detection and discrimination of explosions, physics of the explosive source, explosive yield estimation, wave propagation, and application of statistical methods. Dr. von Seggern earned his PhD at Pennsylvania State University in 1982. He followed that with a 10-year position in geophysics research at Phillips Petroleum Company, where he became involved with leading-edge implementation of seismic imaging of oil and gas prospects and with seismic-wave modeling.

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 (2pi ax) and cosm(2pibx)(n,m integers) Functions with 1 +- sinn (2pi ax) and 1 +-} cosm (2pibx) 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

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