SMath for physics : a primer /

SMath is a free mathematical notebook program similar to Mathcad that provides many options for studying and solving complex mathematical equations. This book is a primer providing a concise but thorough introduction that keeps physics at a fairly low level so readers can concentrate on understandi...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Liengme, Bernard V. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) : Morgan & Claypool Publishers, [2015]
Colección:IOP (Series). Release 1.
IOP concise physics.
Temas:
Mathematics physics > Software.
Mathematical notation > Software.
Mathematical physics.
SCIENCE / Physics / Mathematical & Computational.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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®
  • Differential equations
  • Statistics.

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