LitArk » Books » Home and family

López - MATLAB Mathematical Analysis

Here you can read online López - MATLAB Mathematical Analysis full text of the book (entire story) in english for free. Download pdf and epub, get meaning, cover and reviews about this ebook. year: 2014, publisher: Apress, genre: Home and family. Description of the work, (preface) as well as reviews are available. Best literature library LitArk.com created for fans of good reading and offers a wide selection of genres:

Romance novel Science fiction Adventure Detective Science History Home and family Prose Art Politics Computer Non-fiction Religion Business Children Humor

Choose a favorite category and find really read worthwhile books. Enjoy immersion in the world of imagination, feel the emotions of the characters or learn something new for yourself, make an fascinating discovery.

Book:
MATLAB Mathematical Analysis
Author:
Lpez / Csar Prez
Publisher:
Apress
Genre:
Books / Home and family
Year:
2014
Rating:
3 / 5
Favourites:
Add to favourites
Your mark:
- 60
- 1
- 2
- 3
- 4
- 5

Description
Author's other books
Similar books

MATLAB Mathematical Analysis: summary, description and annotation

We offer to read an annotation, description, summary or preface (depends on what the author of the book "MATLAB Mathematical Analysis" wrote himself). If you haven't found the necessary information about the book — write in the comments, we will try to find it.

MATLAB Mathematical Analysis is a reference book that presents the techniques of mathematical analysis through examples and exercises resolved with MATLAB software. The purpose is to give you examples of the mathematical analysis functions offered by MATLAB so that you can use them in your daily work regardless of the application. The book supposes proper training in the mathematics and so presents the basic knowledge required to be able to use MATLAB for calculational or symbolic solutions to your problems for a vast amount of MATLAB functions.

The book begins by introducing the reader to the use of numbers, operators, variables and functions in the MATLAB environment. Then it delves into working with complex variables. A large section is devoted to working with and developing graphical representations of curves, surfaces and volumes. MATLAB functions allow working with two-dimensional and three-dimensional graphics, statistical graphs, curves and surfaces in explicit, implicit, parametric and polar coordinates. Additional work implements twisted curves, surfaces, meshes, contours, volumes and graphical interpolation.

The following part covers limits, functions, continuity and numerical and power series. Then differentiation is addressed in one and several variables including differential theorems for vector fields. Thereafter the topic of integration is handled including improper integrals, definite and indefinite integration, integration in multiple variables and multiple integrals and their applications.

Differential equations are exemplified in detail, Laplace transforms, Tayor series, and the Runga-Kutta method and partial differential equations.

Type : Math

López: author's other books

Who wrote MATLAB Mathematical Analysis? Find out the surname, the name of the author of the book and a list of all author's works by series.

MATLAB Mathematical Analysis — read online for free the complete book (whole text) full work

Below is the text of the book, divided by pages. System saving the place of the last page read, allows you to conveniently read the book "MATLAB Mathematical Analysis" online for free, without having to search again every time where you left off. Put a bookmark, and you can go to the page where you finished reading at any time.

Light

Font size:

↓

↑

Reset

Interval:

↓

↑

Bookmark:

Make

Csar Prez Lpez 2014

Csar Prez Lpez MATLAB Mathematical Analysis 10.1007/978-1-4842-0349-1_1

1. MATLAB Introduction and Working Environment

Csar Prez Lpez 1

(1)

Madrid, Spain

Introduction to Working with MATLAB

Whenever you use a program of this type, it is necessary to know the general characteristics of how the program interprets notation. This chapter will introduce you to some of the practices used in the MATLAB environment. If you are familiar with using MATLAB, you may wish to skip over this chapter.

The best way to learn MATLAB is to use the program. Each example in the book consists of the header with the prompt for user input >> and the response from MATLAB appears on the next line. See Figure .

Figure 1-1.

At other times, depending on the type of user input used, MATLAB returns the response using the expression ans = . See Figure .

Figure 1-2.

In a program like MATLAB it is always necessary to pay attention to the difference between uppercase and lowercase letters, types of parentheses or square brackets, the amount of spaces used in your input and your choice of punctuation (e.g., commas, semicolons). Different uses will produce different results. We will go over the general rules now.

Any input to run MATLAB should be written to the right of the header (the prompt for user input >>). You then obtain the response in the lines immediately below the input.

Figure 1-3.

When an input is proposed to MATLAB in the command window that does not cite a variable to collect the result, MATLAB returns the response using the expression ans = .

If at the end of the input we put a semicolon, the program runs the calculation(s) and keeps them in memory ( Workspace ), but does not display the result on the screen (see the first input in Figure as an example).

The input prompt appears >> to indicate that you can enter a new entry.

If you enter and define a variable that can be calculated, you can then use that variable as the argument for subsequent entries. This is the case for the variable v in Figure , which is subsequently used as an input in the exponential function.

Like the C programming language, MATLAB is sensitive to the difference between uppercase and lowercase letters; for example, Sin (x) is different from sin (x) . The names of all built-in functions begin with lowercase. There should be no spaces in the names of symbols of more than one letter or in the names of functions. In other cases, spaces are simply ignored. They can be used in some cases to make input more readable. Multiple entries in the same line of command, separated by commas, can also be used. In this case, press Enter at the end of the last entry (see Figure ). If you use a semicolon at the end of one of the entries of the line, as we stated before, its corresponding output is ignored.

Figure 1-4.

It is possible to enter descriptive comments in a command input line by starting the comment with the % sign. When you run the input, MATLAB ignores the rest of the line to the right of the % sign:

>> L = log (123) % L is a natural logarithm

L =

4.8122

To simplify the introduction of a script to be evaluated by the MATLAB interpreter (via the command window), you can use the arrow computer keys. For example, if you press the up arrow once, MATLAB will recover the last entry submitted in MATLAB. If you press the up arrow key twice, MATLAB recovers the prior entry submitted, and so on. This can save you the headache of re-entering complicated formulae.

Similarly, if you type a sequence of characters in the input area and then click the up arrow, MATLAB recovers the last entry that begins with the specified string.

Commands entered during a MATLAB session are temporarily stored in the buffer ( Workspace ) until you end the session with the program, at which time they can be permanently stored in a file or you lose them permanently.

Below is a summary of the keys that can be used in the input area of MATLAB (command line), as well as their functions:

Up arrow (Ctrl-P)	Retrieves the previous line.
Arrow down (Ctrl-N)	Retrieves the following entry.
Arrow to the left (Ctrl-B)	Takes the cursor to the left, a character.
Arrow to the right (Ctrl-F)	Takes the cursor to the right, a character.
CTRL-arrow to the left	Takes the cursor to the left, a word.
CTRL-arrow to the right	Takes the cursor to the right, a word.
Home (Ctrl-A)	Takes the cursor to the beginning of the line.
End (Ctrl-E)	Takes the cursor at the end of the current line.
Exhaust	Clears the command line.
Delete (Ctrl-D)	Deletes the character indicated by the cursor.
BACKSPACE	Deletes the character to the left of the cursor.
CTRL-K	Deletes all of the current line.

The command clc clears the command window, but does not delete the content of the Workspace (that content remains in memory).

Numerical Calculations with MATLAB

You can use MATLAB as a powerful numerical calculator. Most calculators handle numbers only with a preset degree of precision, however MATLAB performs exact calculations with the necessary precision. In addition, unlike calculators, we can perform operations not only with individual numbers, but also with objects such as arrays.

Most of the themes in classical numerical calculations, are treated in this software. It supports matrix calculations, statistics, interpolation, fit by least squares, numerical integration, minimization of functions, linear programming, numerical algebraic and resolution of differential equations and a long list of processes of numerical analysis that well see later in this book.

Here are some examples of numerical calculations with MATLAB. (As we all know, for results it is necessary to press Enter once you have written the corresponding expressions next to the prompt >>)

We can simply calculate 4 + 3 and get as a result 7. To do this, just type 4 + 3, and then Enter.

>> 4 + 3

Ans =

Also we can get the value of 3 to the 100th power, without having previously set the level of precision. For this purpose press 3 ^ 100.

>> 3 ^ 100

Light

Font size:

↓

↑

Reset

Interval:

↓

↑

Bookmark:

Make

Similar books «MATLAB Mathematical Analysis»

Look at similar books to MATLAB Mathematical Analysis. We have selected literature similar in name and meaning in the hope of providing readers with more options to find new, interesting, not yet read works.

Toshinori Fujii

The Best Way to start MATLAB Simulink: - Written by a MATLAB Simulink beginner

Albert Danial

Python for MATLAB Development: Extend MATLAB with 300,000+ Modules from the Python Package Index

López

MATLAB Graphical Programming

Kattan

MATLAB for beginners: a gentle approach

Ishchenko Anna

MATLAB Differential Equations

César Pérez López

MATLAB Mathematical Analysis

Irfan Turk

Practical MATLAB: With Modeling, Simulation, and Processing Projects

Brian H. Hahn

Essential MATLAB for Engineers and Scientists

César Pérez López

MATLAB Differential and Integral Calculus

César Pérez López

MATLAB Symbolic Algebra and Calculus Tools

César Pérez López

MATLAB Numerical Calculations

Lopez C.P.

Mathematical Methods Using Matlab Programming Language: Applications to Integral Calculus, Equations, Derivatives and Differential Equations

Reviews about «MATLAB Mathematical Analysis»

Discussion, reviews of the book MATLAB Mathematical Analysis and just readers' own opinions. Leave your comments, write what you think about the work, its meaning or the main characters. Specify what exactly you liked and what you didn't like, and why you think so.