Home Page Icon
Home Page
Table of Contents for
Cover
Close
Cover
by César Pérez López
MATLAB Numerical Calculations
Cover
Title
Copyright
Contents at a Glance
Contents
About the Author
Also Available
Introduction
Chapter 1: Introduction to MATLAB
1.1 Numerical Calculations with MATLAB
1.2 Symbolic Calculations with MATLAB
1.3 MATLAB and Maple
1.4 General Notation. The Command Window
1.5 MATLAB and Programming
1.6 Translating C, FORTRAN and TEX expressions
Chapter 2: Integers, Divisibility and Number Systems
2.1 Arithmetic Operations in MATLAB
2.2 Integers
2.3 Divisibility
2.4 Modular Arithmetic
2.5 Divisibility in Z[√n]
2.6 Diophantine Equations
2.7 Number Systems
Chapter 3: Real and Complex Numbers
3.1 Rational Numbers
3.2 Continued Fractions
3.3 Irrational Numbers
3.4 Algebraic Numbers
3.5 Real Numbers
3.6 Common Functions with Real Arguments
3.7 Complex Numbers
3.8 Common Functions with Complex Arguments
3.9 Divisibility in the Complex Field. The Ring of Gaussian Integers
3.10 Approximation and Precision
3.11 Types of Numbers and Expressions
3.12 Random Numbers
Chapter 4: Numerical Variables, Vectors and Matrices
4.1 Variables
4.2 Variables and Special Constants
4.3 Symbolic and Numeric Variables
4.4 Vector Variables
4.5 Matrix Variables
4.6 Character Variables
4.7 Operators
4.7.1 Arithmetic Operators
4.7.2 Relational Operators
4.7.3 Logical Operators
4.8 Logic Functions
4.9 Elementary Functions that Support Complex Matrix Arguments
4.10 Elementary Functions that Support Complex Vector Arguments
4.11 Vector Functions of Several Variables
4.12 Functions of One Variable
Chapter 5: Vectors and Matrices
5.1 Vectors and Matrices
5.2 Operations with Numeric Matrices
5.3 Eigenvalues and Eigenvectors
5.4 Matrix Decomposition
5.5 Similar Matrices and Diagonalization
5.6 Sparse Matrices
5.7 Special Matrices
Chapter 6: Functions
6.1 Custom Defined Functions
6.2 Functions and M-files
6.3 Functions and Flow Control. Loops
6.4 The FOR loop
6.5 The WHILE loop
6.6 IF ELSEIF ELSE END LOOP
6.7 Recursive Functions
6.8 Conditional Functions
6.9 Defining Functions Directly. Evaluating Functions
6.10 Functions of One Variable
6.11 Functions of Several Variables
6.12 Piecewise Functions
6.13 Functional Operations
Chapter 7: Programming and Numerical Analysis
7.1 MATLAB and Programming
7.2 The Text Editor
7.3 Scripts
7.4 Functions and M-files. Eval and feval
7.4.1 A Simple Function Definition
7.5 Local and Global Variables
7.6 Data Types
7.7 Flow Control: FOR, WHILE and IF ELSEIF Loops
7.8 FOR Loops
7.9 WHILE Loops
7.10 IF ELSEIF ELSE END Loops
7.11 SWITCH and CASE
7.12 CONTINUE
7.13 BREAK
7.14 TRY ... CATCH
7.15 RETURN
7.16 Subfunctions
7.17 Commands in M-files
7.18 Functions relating to Arrays of Cells
7.19 Functions of Multidimensional Arrays
7.20 Numerical Analysis Methods in MATLAB
7.21 Zeros of Functions and Optimization
7.22 Numerical Integration
7.23 Numerical Differentiation
7.24 Approximate Solutions of Differential Equations
7.25 Ordinary Differential Equations with Initial Values
7.26 Ordinary Differential Equations with Boundary Conditions
7.27 Partial Differential Equations
Chapter 8: Numerical Algorithms: Equations, Derivatives, Integrals and Differential Equations
8.1 Solving Non-Linear Equations
8.1.1 The Fixed Point Method for Solving x = g(x)
8.1.2 Newton’s Method for Solving the Equation f(x) = 0
8.1.3 Schröder’s Method for Solving the Equation f(x)=0
8.2 Systems of Non-Linear Equations
8.2.1 The Seidel Method
8.2.2 The Newton-Raphson Method
8.3 Interpolation Methods
8.3.1 Lagrange Polynomial Interpolation
8.3.2 Newton Polynomial Interpolation
8.4 Numerical Derivation Methods
8.4.1 Numerical Derivation via Limits
8.4.2 Richardson’s Extrapolation Method
8.4.3 Derivation Using Interpolation (n + 1 Nodes)
8.5 Numerical Integration Methods
8.5.1 The Trapezium Method
8.5.2 Simpson’s Method
8.6 Ordinary Differential Equations
8.6.1 Euler’s Method
8.6.2 Heun’s Method
8.6.3 The Taylor Series Method
Search in book...
Toggle Font Controls
Playlists
Add To
Create new playlist
Name your new playlist
Playlist description (optional)
Cancel
Create playlist
Sign In
Email address
Password
Forgot Password?
Create account
Login
or
Continue with Facebook
Continue with Google
Sign Up
Full Name
Email address
Confirm Email Address
Password
Login
Create account
or
Continue with Facebook
Continue with Google
Next
Next Chapter
Title
Add Highlight
No Comment
..................Content has been hidden....................
You can't read the all page of ebook, please click
here
login for view all page.
Day Mode
Cloud Mode
Night Mode
Reset