Cesar Perez Lopez, 2016. — 223 p. — ASIN: B01AOOGXMAThis book provides all the material needed to work on Integral Calculus and Differential Equations using Mathematica. It includes techniques for solving all kinds of integral and its applications for calculating lengths of curves, areas, volumes, surfaces of revolution… With Mathematica is possible solve ordinary and partial differential equations of various kinds, and systems of such equations, either symbolically or using numerical methods (Euler's method,, the Runge–Kutta method,…). It also describes how to implement mathematical tools such as the Laplace transform, orthogonal polynomials, and special functions (Airy and Bessel functions), and find solutions of differential equations in partial derivatives.Practical Introduction To Mathematica Calculation Numeric With Mathematica Symbolic Calculation With Mathematica Graphics With Mathematica Mathematica And The Programming Integration And Applications Indefinite Integrals Integration By Substitution (Or Change Of Variables) Integration By Parts Integration By Reduction And Cyclic Integration Definite Integrals. Curve Arc Length, Areas, Volumes And Surfaces Of Revolution. Improper Integrals Definite Integrals Curve Arc Length The Area Enclosed Between Curves Surfaces Of Revolution Volumes Of Revolution Curvilinear Integrals Improper Integrals Parameter Dependent Integrals The Riemann Integral Integration In Several Variables And Applications. Areas And Volumes. Divergence, Stokes And Green’s Theorems Areas And Double Integrals Surface Area By Double Integration Volume Calculation By Double Integrals Volume Calculation And Triple Integrals Green’s Theorem The Divergence Theorem Stokes’ Theorem First Order Differential Equations. Separates Variables, Exact Equations, Linear And Homogeneous Equations. Numeriacal Methods Separation Of Variables Homogeneous Differential Equations Exact Differential Equations Linear Differential Equations Numerical Solutions To Differential Equations Of The First Order High-Order Differential Equations And Systems Of Differential Equations Ordinary High-Order Equations Higher-Order Linear Homogeneous Equations With Constant Coefficients Non-Homogeneous Equations With Constant Coefficients. Variation Of Parameters Non-Homogeneous Linear Equations With Variable Coefficients. Cauchy-Euler Equations 6 The Laplace Transform Systems Of Linear Homogeneous Equations With Constant Coefficients Systems Of Linear Non-Homogeneous Equations With Constant Coefficients Higher Orden Differential Equations And Systems Using Approximation Methods. Differential Equations In Partial Derivatives Higher Order Equations And Approximation Methods The Euler Method The Runge–Kutta Method Differential Equations Systems By Approximate Methods Differential Equations In Partial Derivatives Orthogonal Polynomials Airy And Bessel Functions
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