MATLAB numerical calculations /
MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
[Berkeley, CA] :
Apress,
2014.
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Colección: | MATLAB solutions series
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Temas: | |
Acceso en línea: | Texto completo (Requiere registro previo con correo institucional) |
Tabla de Contenidos:
- At a Glance; 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 Numbers3.4 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 Operators4.7.3 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. Loops6.4 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; 7.5 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 Loops7.10 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.