An Engineer's Guide to Mathematica

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Detalles Bibliográficos
Autor principal: Magrab, Edward B.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2014.
Colección:New York Academy of Sciences Ser.
Temas:
Electronic books.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Intro
  • Title Page
  • Copyright Page
  • Dedication
  • Preface
  • Table of Engineering Applications
  • Part 1 Introduction
  • 1 Mathematica® Environment and Basic Syntax
  • 1.1 Introduction
  • 1.2 Selecting Notebook Characteristics
  • 1.3 Notebook Cells
  • 1.4 Delimiters
  • 1.5 Basic Syntax
  • 1.6 Mathematical Constants
  • 1.7 Complex Numbers
  • 1.8 Elementary, Trigonometric, Hyperbolic, and a Few Special Functions
  • 1.9 Strings
  • 1.10 Conversions, Relational Operators, and Transformation Rule
  • 1.11 Engineering Units and Unit Conversions: Quantity[] and UnitConvert[]
  • 1.12 Creation of CDF Documents and Documents in Other Formats
  • 1.13 Functions Introduced in Chapter 1
  • Exercises
  • Notes
  • 2 List Creation and Manipulation: Vectors and Matrices
  • 2.1 Introduction
  • 2.2 Creating Lists and Vectors
  • 2.3 Creating Matrices
  • 2.4 Matrix Operations on Vectors and Arrays
  • 2.5 Solution of a Linear System of Equations: LinearSolve[]
  • 2.6 Eigenvalues and Eigenvectors: EigenSystem[]
  • 2.7 Functions Introduced in Chapter 2
  • References
  • Exercises
  • 3 User-Created Functions, Repetitive Operations, and Conditionals
  • 3.1 Introduction
  • 3.2 Expressions and Procedures as Functions
  • 3.3 Find Elements of a List that Meet a Criterion: Select[]
  • 3.4 Conditionals
  • 3.5 Repetitive Operations
  • 3.6 Examples of Repetitive Operations and Conditionals
  • 3.7 Functions Introduced in Chapter 3
  • Exercises
  • Notes
  • 4 Symbolic Operations
  • 4.1 Introduction
  • 4.2 Assumption Options
  • 4.3 Solutions of Equations: Solve[]
  • 4.4 Limits: Limit[]
  • 4.5 Power Series: Series[], Coefficient[], and CoefficientList[]
  • 4.6 Optimization: Maximize[]/Minimize[]
  • 4.7 Differentiation: D[]
  • 4.8 Integration: Integrate[]
  • 4.9 Solutions of Ordinary Differential Equations: DSolve[]
  • 4.10 Solutions of Partial Differential Equations: DSolve[]
  • 4.11 Laplace Transform: LaplaceTransform[] and InverseLaplaceTransform[]
  • 4.12 Functions Introduced in Chapter 4
  • References
  • Exercises
  • 5 Numerical Evaluations of Equations
  • 5.1 Introduction
  • 5.2 Numerical Integration: NIntegrate[]
  • 5.3 Numerical Solutions of Differential Equations: NDSolveValue[] and ParametricNDSolveValue[]
  • 5.4 Numerical Solutions of Equations: NSolve[]
  • 5.5 Roots of Transcendental Equations: FindRoot[]
  • 5.6 Minimum and Maximum: FindMinimum[] and FindMaximum[]
  • 5.7 Fitting of Data: Interpolation[] and FindFit[]
  • 5.8 Discrete Fourier Transforms and Correlation: Fourier[], InverseFourier[], and ListCorrelate[]
  • 5.9 Functions Introduced in Chapter 5
  • References
  • Exercises
  • Notes
  • 6 Graphics
  • 6.1 Introduction
  • 6.2 2D Graphics
  • 6.3 3D Graphics
  • 6.4 Summary of Functions Introduced in Chapter 6
  • References
  • Exercises
  • 7 Interactive Graphics
  • 7.1 Interactive Graphics: Manipulate[]
  • References
  • Exercises
  • Part 2 Engineering Applications

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