Maple : a primer /

Maple is a comprehensive symbolic mathematics application which is well suited for demonstrating physical science topics and solving associated problems. This book records the author's journey of discovery; he was familiar with SMath but not with Maple and set out to learn the more advanced app...

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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, [2019]
Colección:IOP (Series). Release 6.
IOP concise physics.
Temas:
Maple (Computer file)
Mathematical physics > Data processing.
Mathematical physics.
SCIENCE / Physics / Mathematical & Computational.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Starting Maple
  • 1.1. What is Maple?
  • 1.2. The Maple interface
  • 1.3. Entering simple expressions
  • 1.4. The use of evalf[d](term)
  • 1.5. Some handy algebraic commands
  • 1.6. Context menus
  • 1.7. Formatted output with printf
  • 1.8. Data structures
  • 1.9. Defining a function
  • 1.10. Debugging a worksheet
  • 2. Introductory examples
  • 2.1. Ammonia
  • 2.2. Water pump
  • 2.3. Telescope resolution
  • 2.4. Velocity of a bullet
  • 2.5. Solve puzzle
  • 2.6. Vertex form
  • 2.7. Classic inclined plane problem
  • 2.8. Baseball problem
  • 2.9. Center of mass
  • 2.10. Trough problem
  • 3. Plotting with Maple
  • 3.1. Starting with plot
  • 3.2. Plot tools
  • 3.3. Customizing with the context menu
  • 3.4. Customizing a plot with parameters
  • 3.5. A logarithmic plot
  • 3.6. Using display for multifunction plots
  • 3.7. Two plots side by side
  • 3.8. Plotting a family of curves
  • 3.9. Plotting digitalized data
  • 3.10. Parametric plots
  • 3.11. Using the coords = polar option
  • 3.12. Implicit plots
  • 3.13. Animated plots
  • 3.14. Exploring with the Explore command
  • 3.15. Plot with two axes
  • 3.16. Three-dimensional plots
  • 4. Solving equations and systems of equations
  • 4.1. The solve command
  • 4.2. Solving inequalities
  • 4.3. Stress analysis
  • 4.4. The assign command
  • 4.5. The fsolve command
  • 4.6. Systems of equations with fsolve
  • 4.7. Finding complex roots
  • 4.8. Restricting the root to a range
  • 4.9. Example of using isolve
  • 4.10. Off to Mars
  • 5. Using units and physical constants
  • 5.1. Some basic examples
  • 5.2. Examples of usage
  • 5.3. Using the Units command
  • 5.4. Temperature conversions
  • 5.5. Physical constants
  • 5.6. Gravity constants G and g
  • 5.7. Pump problem revisited
  • 6. Linear algebra
  • 6.1. Matrices and vectors
  • 6.2. Simple matrix and vector math
  • 6.3. Linear algebra
  • 6.4. Solving a system of equations
  • 6.5. Introduction to eigenvectors and eigenvalues
  • 6.6. Notes on Maple vector commands
  • 6.7. Some vector calculations
  • 7. Introduction to calculus
  • 7.1. Looking for the limit
  • 7.2. Some differentiation examples
  • 7.3. The D operator
  • 7.4. Implicit differentiation
  • 7.5. Examples of critical points
  • 7.6. Some integration examples
  • 7.7. Definite integrals
  • 7.8. The assume command
  • 7.9. Finding the area between two curves
  • 7.10. Introduction to ODEs
  • 8. Differential equations
  • 8.1. Initial value problems (IVPs)
  • 8.2. Entering ODEs and initial/boundary conditions
  • 8.3. Boundary value problems (BVPs)
  • 8.4. Family of solutions
  • 8.5. Numerical integration
  • 8.6. The simple pendulum
  • 8.7. Coupled ODEs
  • 8.8. Singular and general solutions
  • 8.9. Direction fields
  • 9. Procedures
  • 9.1. Programming structures
  • 9.2. Simple examples
  • 9.3. Procedures
  • 9.4. Several ways to find the GCD
  • 9.5. Further procedure examples
  • 9.6. Fourier expansion
  • 9.7. Common errors in procedures
  • 10. Working with external files
  • 10.1. Export and import a matrix
  • 10.2. Using fprintf
  • 10.3. Using readdata
  • 10.4. Read data from an Excel file
  • 10.5. Write data to an Excel worksheet
  • 10.6. The Task Assistant Import
  • 10.7. Copy and paste
  • 11. Regression and statistics
  • 11.1. Linear regression
  • 11.2. Non-linear regression
  • 11.3. Descriptive statistics
  • 11.4. Sample or population?
  • 11.5. Hypothesis testing
  • 11.6. Combinations and permutations.

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