Catálogo de publicaciones - libros

Compartir en
redes sociales

Essentials of Mathematica: With Applications to Mathematics and Physics

Nino Boccara

Resumen/Descripción – provisto por la editorial

No disponible.

Palabras clave – provistas por la editorial

No disponibles.

Disponibilidad

Institución detectada	Año de publicación	Navegá	Descargá	Solicitá
No detectada	2007	SpringerLink

Información

Tipo de recurso:

libros

ISBN impreso

978-0-387-49513-2

ISBN electrónico

978-0-387-49514-9

Editor responsable

Springer Nature

País de edición

Reino Unido

Fecha de publicación

2007

Información sobre derechos de publicación

Cobertura temática

Ciencias físicas

Tabla de contenidos

Verificá que desde tu institución tengas acceso para descargar o solicitar el libro completo o alguno de sus capítulos.

doi: 10.1007/978-0-387-49514-9_1

A Panorama of Mathematica

This rather long chapter presents an overview of the most frequently used Mathematica commands.

Palabras clave: Periodic Sequence; Internal Form; Intermediate Expression; Decimal Logarithm; Pure Function.

Part I - Essential Commands | Pp. 5-54

doi: 10.1007/978-0-387-49514-9_2

Numbers

The command NumberQ [expression] gives True if expression is a number, and False otherwise

Part I - Essential Commands | Pp. 55-75

doi: 10.1007/978-0-387-49514-9_3

Algebra

Expand [expression] expands products and positive integer powers in expression.

Part I - Essential Commands | Pp. 77-102

doi: 10.1007/978-0-387-49514-9_4

Analysis

The function D[f[a,x,y],x] does partial differentiation with respect to a variable (here x).

Palabras clave: Singular Point; Power Series; Discrete Fourier Transform; Recurrence Equation; Laurent Series.

Part I - Essential Commands | Pp. 103-149

doi: 10.1007/978-0-387-49514-9_5

Lists

Mathematica lists are powerful objects. They provide an efficient way of manipulating groups of expressions as a whole.

Part I - Essential Commands | Pp. 151-172

doi: 10.1007/978-0-387-49514-9_6

Graphics

Graphics are important components of many applications, and Mathematica provides powerful graphics capabilities. This chapter is rather detailed but a lot more can be found in [66] and [55].

Palabras clave: Bessel Function; Package Graphic; Golden Ratio; Random Integer; Parametric Plot.

Part I - Essential Commands | Pp. 173-218

doi: 10.1007/978-0-387-49514-9_7

Statistics

Random [] gives a pseudorandom number lying in the interval [0,1]

Part I - Essential Commands | Pp. 219-233

doi: 10.1007/978-0-387-49514-9_8

Basic Programming

Everything you type in Mathematica is an expression. An expression is of the form f [arguments] where f is the Head of the expression which identifies its type. Expressions look like functions (or functions are expressions).

Palabras clave: Basic Programming; Fibonacci Number; Fibonacci Sequence; Replacement Rule; Longe Change.

Part I - Essential Commands | Pp. 235-268

doi: 10.1007/978-0-387-49514-9_9

Axially Symmetric Electrostatic Potential

Consider a conducting sphere of radius R held at potential zero and placed in a uniform electric field E_0 directed along the Oz -axis oriented upward. If we use spherical coordinates, the symmetry of the system implies that the potential V depends only upon r and θ but not on ϕ , and can, therefore, be written as a sum of Legendre polynomials: LegendreP[n,Cos[ θ ]]. We first briefly review how to solve the Laplace equation in this case (for more details see Vvedensky [63], Chapter 6).

Part II - Applications | Pp. 273-277

doi: 10.1007/978-0-387-49514-9_10

Motion of a Bead on a Rotating Circle

A bead of mass m is constrained to move without friction on a circular wire of radius R . The circular wire rotates with constant angular velocity ω around its vertical diameter. This system has two degrees of freedom. If, to describe the motion of the bead, we use the two spherical coordinates θ and ϕ , the Cartesian coordinates of the bead in terms of these generalized coordinates are x = R sin θ cos ϕ, y = R sin θ sin ϕ , and z = R cos θ , if we take θ = 0 at the bottom of the circular wire. Let us draw the figure.

Part II - Applications | Pp. 279-283