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A First Course in Scientific Computing : Symbolic, Graphic, and Numeric Modeling Using Maple, Java, Mathematica, and Fortran90.
This book offers a new approach to introductory scientific computing. It aims to make students comfortable using computers to do science, to provide them with the computational tools and knowledge they need throughout their college careers and into their professional careers, and to show how all the...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
2011.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Title; Copyright; Contents; List of Figures; List of Tables; Preface; Chapter 1 Introduction; 1.1 Nature of Scientific Computing; 1.2 Talking to Computers; 1.3 Instructional Guide; 1.4 Exercises to Come Back To; PART 1: MAPLE (OR MATHEMATICA) BY DOING; Chapter 2 Getting Started with Maple; 2.1 Setting Up Your Work Space; 2.2 Maple's Problem-Solving Environment; 2.3 Maple's Command Structure; 2.4 Sums and sums; 2.5 Execution Groups; 2.6 Key Words and Concepts; 2.7 Supplementary Exercises; Chapter 3 Numbers, Expressions, Functions; Rocket Golf; 3.1 Problem: Viewing Rocket Golf.
- 3.2 Theory: Einstein's Special Relativity3.3 Math: Integer, Rational and Irrational Numbers; 3.4 CS: Floating-Point Numbers; 3.5 Complex Numbers; 3.6 Expressions; 3.7 Assignment Statements; 3.8 Equality (rhs, lhs); 3.9 Functions; 3.10 User-Defined Functions; 3.11 Reexpressing Answers; 3.12 CS: Overflow, Underflow, and Round-Off Error; 3.13 Solution: Viewing Rocket Golf; 3.14 Extension: Tachyons*; 3.15 Key Words and Concepts; 3.16 Supplementary Exercises; Chapter 4 Visualizing Data, Abstract Types; Electric Fields; 4.1 Why Visualization?; 4.2 Problem: Stable Points in Electric Fields.
- 4.3 Theory: Stability Criteria and Potential Energy4.4 Basic 2-D Plots: plot; 4.5 Compound (Abstract) Data Types: [Lists] and {Sets}; 4.6 3-D (Surface) Plots of Analytic Functions; 4.7 Solution: Dipole and Quadrupole Fields; 4.8 Exploration: The Tripole; 4.9 Extension: Yet More Plot Types*; 4.10 Visualizing Numerical Data; 4.11 Plotting a Matrix: matrixplot*; 4.12 Animations of Data*; 4.13 Key Words and Concepts; 4.14 Supplementary Exercises; Chapter 5 Solving Equations, Differentiation; Towers; 5.1 Problem: Maximum Height of a Tower; 5.2 Model: Block Stacking.
- 5.3 Math: Equations as Challenges5.4 Solving a Single Equation: solve, fsolve; 5.5 Solving Simultaneous Equations (Sets); 5.6 Solution to Tower Problem; 5.7 Differentiation: limit, diff, D; 5.8 Numerical Derivatives*; 5.9 Alternate Solution: Maximum Tower Height; 5.10 Assessment and Exploration; 5.11 Auxiliary Problem: Nonlinear Oscillations; 5.12 Key Words and Concepts; 5.13 Supplementary Exercises; Chapter 6 Integration; Power and Energy Usage (Also 14); 6.1 Problem: Relating Power and Energy Usage; 6.2 Empirical Models; 6.3 Theory: Power and Energy Definitions.
- 6.4 Maple: Tools for Integration6.5 Problem Solution: Energy from Power; 6.6 Key Words and Concepts; 6.7 Supplementary Exercises; Chapter 7 Matrices and Vectors; Rotation; 7.1 Problem: Rigid-Body Rotation; 7.2 Math: Vectors and Matrices; 7.3 Theory: Angular Momentum Dynamics; 7.4 Maple: Linear Algebra Tools; 7.5 Matrix Arithmetic and Operations; 7.6 Solution: Rotating Rigid Bodies; 7.7 Exploration: Principal Axes of Rotation*; 7.8 Key Words and Concepts; 7.9 Supplementary Exercises; Chapter 8 Searching, Programming; Dipsticks; 8.1 Problem: Volume of Liquid in Spherical Tanks.