SMath for physics : a primer /
| Main Author: | |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) :
Morgan & Claypool Publishers,
[2015]
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| Series: | IOP concise physics.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Preface
- Acknowledgements
- Author biography
- An overview of SMath Suite
- What is SMath Suite?
- How do I get SMath Suite?
- How can I get help with SMath?
- The SMath interface
- Constructing regions
- Greek characters
- Option settings
- Scratchpad calculations
- Simple algebraic calculations
- Subscripted variables
- Working with units
- Physical and mathematical constants
- SMath functions
- Matrices and vectors
- Drawing graphs
- Solving equations and finding roots
- Symbolic differentiation
- Programming
- Snippets
- Appendix A. SMath functions
- Introductory physics : some simple problems
- Mass on a string
- Kinetic energy of a merry-go-round
- Telescope resolution
- Dimensional analysis
- Solving a cubic equation with polyroots
- Conservation of energy
- Stone dropped down a well (solve function)
- Roller-coaster problem (function solve)
- Bullet velocity
- Water depth
- Balmer series
- Uncertainty calculation
- Calculate the age of a rock
- The ladder problem : search method
- The ladder problem : solved with differentiation
- Circuit analysis : matrix math
- Thermistor quality control
- Fourier series
- Self-test projects
- Trajectory of a projectile
- A simple calculation
- An improved plot
- Trajectory when drag is considered
- Did we use a small enough [delta]t increment?
- What is the purpose of the Eval function?
- Linear regression
- Simple linear regression
- Zero intercept
- Multiple linear regression
- Multiple linear regression using a vector function
- Multiple regression : some exercises
- Root finding
- Fixed point iteration
- Bisection method
- The secant method
- Newton-Raphson method
- Self-test
- Numerical integration
- Simpson's 1/3 rule
- Simpson's 1/3 rule with tabular data
- Numerical integration using a Monte Carlo method
- Solving differential equations
- The Euler approximation
- Runge-Kutta method
- Cooling by radiation
- Runge-Kutta for systems of equations
- Second-order differential equations
- The SMath Viewer
- The basic steps
- A better GUI
- Working with units
- Adding tabs
- Data exchange with external files
- Wfile and rfile functions
- The importData(9) function
- SMath with Maxima
- Saving options
- The XY plot feature
- Maxima's equation solving functions
- Golden section search
- Linear regression
- Symbolic integration
- Data exchange (wfile and rfile)
- Data exchange with Microsoft Excel(R)
- Differential equations
- Statistics.