- Cover
- Title
- Copyright
- Contents at a Glance
- Contents
- About the Author
- About the Technical Reviewer
- Introduction
- Also Available
- Chapter 1: MATLAB Introduction and Working Environment
- Chapter 2: Numbers, Operators, Variables and Functions
- Numbers
- Integers and Integer Variable Functions
- Real Numbers and Functions of Real Variables
- Trigonometric Functions
- Hyperbolic Functions
- Exponential and Logarithmic Functions
- Numeric Variable-Specific Functions
- One-Dimensional, Vector and Matrix Variables
- Elements of Vector Variables
- Elements of Matrix Variables
- Specific Matrix Functions
- Random Numbers
- Operators
- Symbolic Variables
- Symbolic Functions and Functional Operations: Composite and Inverse Functions
- Commands that Handle Variables in the Workspace and Store them in Files
- Chapter 3: Complex Numbers and Functions of Complex Variables
- Chapter 4: Graphics in MATLAB. Curves, Surfaces and Volumes
- Chapter 5: Limits of Sequences and Functions. Continuity in One and Several Variables
- Chapter 6: Numerical Series and Power Series
- Chapter 7: Derivatives. One and Several Variables
- Derivatives
- Partial Derivatives
- Applications of Differentiation. Tangents, Asymptotes, Extreme Points and Points of Inflection
- Differentiation in Several Variables
- Extreme Points in Several Variables
- Conditional minima and maxima. The method of “Lagrange multipliers”
- Vector Differential Calculus
- The Composite Function Theorem
- The Implicit Function Theorem
- The Inverse Function Theorem
- The Change of Variables Theorem
- Series Expansions in Several Variables
- Curl, Divergence and the Laplacian
- Rectangular, Spherical and Cylindrical Coordinates
- Chapter 8: Integration in One and Several Variables. Applications
- Integrals
- Indefinite Integrals, Change of Variables and Integration by Parts
- Integration by Reduction and Cyclic Integration
- Rational and Irrational Integrals. Binomial Integrals
- Definite Integrals and Applications
- Curve Arc Length
- The Area between Two Curves
- Surfaces of Revolution
- Volumes of Revolution
- Curvilinear Integrals
- Improper Integrals
- Parameter Dependent Integrals
- Approximate Numerical Integration
- Special Integrals
- Definite Integrals and Applications. Several Variables
- Planar Areas and Double Integration
- Calculation of Surface Area by Double Integration
- Calculation of Volumes by Double Integration
- Calculation of Volumes and Triple Integrals
- Green’s Theorem
- The Divergence Theorem
- Stokes’ Theorem
- Chapter 9: Differential Equations
MATLAB Mathematical Analysis
César Pérez López
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