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Scientific programming : numeric, symbolic, and graphical computing with maxima /
This book offers an introduction to computer programming, numerical analysis, and other mathematical ideas that extend the basic topics learned in calculus. It illustrates how mathematicians and scientists write computer programs, covering the general building blocks of programming languages and a d...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Newcastle upon Tyne, UK :
Cambridge Scholars Publishing,
2018.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Intro; Table of Contents; Foreword; Chapter 1; 1.1. Getting Started with Maxima; 1.2. Symbolic Computation; 1.3. User-Defined Functions; 1.4. Repetition and Iteration; 1.5. Leibniz's Series; 1.6. Archimedes' Sequence; 1.7. Computational Error; Chapter 2; 2.1. Fibonacci's Rabbits; 2.2. The Babylonian Algorithm; 2.3. Detecting Prime Numbers; 2.4. Lists and Other Data Structures; 2.5. Gaussian Elimination; 2.6. Partial Pivoting; 2.7. Binary Codes; 2.8. Floating-Point Numbers; Chapter 3; 3.1. Celestial Mechanics; 3.2. An Epitaph for Archimedes; 3.3. Rabbits Revisited; 3.4. Projectiles in Motion
- 3.5. Fourier Likes It Hot3.6. Plotting Curves by Sampling; 3.7. Plotting Lines with Pixels; Chapter 4; 4.1. Lagrange's Formula; 4.2. Piecewise Linear Interpolation; 4.3. Cubic Splines; 4.4. Smooth Splines; 4.5. Approximation with Splines; 4.6. Interpolating Curves; 4.7. Interpolating Surfaces; Chapter 5; 5.1. Riemann Sums; 5.2. Trapezoids and Parabolas; 5.3. Smooth Splines Revisited; 5.4. Gaussian Quadrature; 5.5. Monte Carlo Simulation; Epilogue; References; Index