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MATLAB Numerical Calculations

✍ Scribed by López, César


Publisher
Apress
Year
2015
Tongue
English
Leaves
324
Series
EBL-Schweitzer
Edition
Online-ausg
Category
Library

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✦ Synopsis


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.

7.27 Partial Differential Equations.

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 a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java. This book is designed for use as a scientific/business calculator so that you can get numerical solutions to problems involving a wide array of mathematics using MATLAB. Just look up the function y.

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