- Cover
- Title
- Copyright
- Contents
- List of Figures
- List of Tables
- Preface
- Chapter 1. Introduction
- PART 1. MAPLE (OR MATHEMATICA) BY DOING
- Chapter 2. Getting Started with Maple
- Chapter 3. Numbers, Expressions, Functions; Rocket Golf
- 3.1 Problem: Viewing Rocket Golf
- 3.2 Theory: Einstein’s Special Relativity
- 3.3 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 Energy
- 4.4 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 Challenges
- 5.4 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)
- 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
- PART 2. JAVA (OR FORTRAN90) BY DOING
- Chapter 9. Getting Started with Java
- Chapter 10. Data Types, Limits, Methods; Rocket Golf
- Chapter 11. Visualization with Java, Classes, Packages
- Chapter 12. Flow Control via Logic; Projectiles
- Chapter 13. Java Input and Output*
- Chapter 14. Numerical Integration; Power and Energy Usage
- Chapter 15. Differential Equations with Java and Maple*
- 15.1 Problem: Projectile Motion with Drag
- 15.2 Model: Velocity-Dependent Drag
- 15.3 Algorithm: Numerical Differentiation
- 15.4 Math: Solving Differential Equations
- 15.5 Assessment: Balls Falling Out of the Sky?
- 15.6 Maple: Differential-Equation Tools
- 15.7 Maple Solution: Drag ∝ Velocity
- 15.8 Extract Operands
- 15.9 Drag ∝v2 (Exercise)
- 15.10 Drag ∝v3/2
- 15.11 Exploration: Planetary Motion*
- 15.12 Key Words
- 15.13 Supplementary Exercises
- Chapter 16. Object-Oriented Programming; Complex Currents
- 16.1 Problem: Resonance in RLC Circuit
- 16.2 Math: Complex Numbers
- 16.3 Theory: Resistance Becomes Impedance
- 16.4 CS: Abstract Data Types, Objects
- 16.5 Java Solution: Complex Currents
- 16.6 Maple Solution: Complex Currents
- 16.7 Explorations: OOP Worked Examples*
- 16.8 Key Words
- 16.9 Java and Maple Exercises
- Chapter 17. Arrays: Vectors, Matrices; Rigid-Body Rotations
- Chapter 18. Advanced Objects; Baton Projectiles*
- Chapter 19. Discrete Math, Arrays as Bins; Bug Dynamics*
- Chapter 20. 2-D Arrays: File I/O, PDEs; Realistic Capacitor
- Chapter 21. Web Computing, Applets, Primitive Graphics
- 21.1 What Is Web Computing?
- 21.2 Implementation: Get This to Work First
- 21.3 Exploration: Modify Applet1.java
- 21.4 Extension: PtPlot as Applet*
- 21.5 Extension: Applet with Button Input*
- 21.6 Extension: AWT, JFC, and Swing*
- 21.7 Example: Baton Applet, Jparabola.java*
- 21.8 Key Words
- 21.9 Supplementary Exercises
- PART 3. LATEX SURVIVAL GUIDE
- Chapter 22. LATEX for Text
- Chapter 23. LAT X for Mathematics E
- 23.1 Entering Mathematics: Math Mode
- 23.2 Mathematical Symbols and Greek
- 23.3 Math Accents
- 23.4 Superscripts and Subscripts
- 23.5 Calculus and Sums
- 23.6 Changing Math Fonts
- 23.7 Math Functions
- 23.8 Fractions
- 23.9 Roots
- 23.10 Brackets (Delimiters)
- 23.11 Multiline Equations
- 23.12 Matrices and Math Arrays
- 23.13 Including Graphics
- 23.14 Exercise: Putting It All Together
- Appendix A. Glossary
- Appendix B. Maple Quick Reference, Debugging Help
- Appendix C. Java Quick Reference and Installing Software
- Bibliography
- Index
A First Course in Scientific Computing
Symbolic, Graphic, and Numeric Modeling Using Maple, Java, Mathematica, and Fortran90
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