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E-book
Author Pérez López, César, author.

Title MATLAB programming for numerical analysis / César Pérez López
Published Berkeley, CA : Apress, 2014
New York, NY : Distributed to the Book trade worldwide by Springer
©2014

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Description 1 online resource (viii, 229 pages) : illustrations
Series MATLAB Solutions Series
MATLAB solutions series.
Contents Machine generated contents note: ch. 1 MATLAB Environment -- Starting MATLAB on Windows. The MATLAB working environment -- MATLAB Command Window -- Escape and exit to DOS environment commands -- Preferences for the Command Window -- Command History window -- Launch Pad window -- Current Directory window -- help browser -- Workspace window -- Editor and Debugger for M-files -- Help in MATLAB -- ch. 2 MATLAB Language: Variables, Numbers, Operators and Functions -- Variables -- Vector variables -- Matrix variables -- Character variables -- Numbers -- Integers -- Functions of integers and divisibility -- Alternative bases -- Real numbers -- Functions with real arguments -- Complex numbers -- Functions with complex arguments -- Elementary functions that support complex vector arguments -- Elementary functions that support complex matrix arguments -- Random numbers -- Operators -- Arithmetic operators -- Relational operators -- Logical operators -- Logical functions -- ch. 3 MATLAB Language: Development Environment Features -- General Purpose Commands -- Commands that Handle Variables in the Workspace -- Commands that Work with Files in the Operational Environment -- Commands that Handle Functions -- Commands that Control the Command Window -- Start and Exit Commands -- File Input/Output Commands -- Opening and Closing Files -- Reading and Writing Binary Files -- Reading and Writing Formatted ASCII Text Files -- Control Over the File Position -- Exporting and Importing Data to Lotus 123 and Delimited ASCII String and Graphic Formats -- Sound Processing Functions -- ch. 4 MATLAB Language: M-Files, Scripts, Flow Control and Numerical Analysis Functions -- MATLAB and Programming -- Text Editor -- Scripts -- Functions and M-files. Eval and Feval -- Local and Global Variables -- Data Types -- Ordinary Differential Equations with Boundary Conditions -- ch. 5 Numerical Algorithms: Equations, Derivatives and Integrals -- Solving Non-Linear Equations -- Fixed Point Method for Solving X = G (x) -- Newton's Method for Solving the Equation F (x) =0 -- Schroder's Method for Solving the Equation F (x) =0 -- Systems of Non-Linear Equations -- Seidel Method -- Newton -- Raphson Method -- Interpolation Methods -- Lagrange Polynomial Interpolation -- Newton Polynomial Interpolation -- Numerical Derivation Methods -- Numerical Derivation via Limits -- Richardson's Extrapolation Method -- Derivation Using Interpolation (n + 1 nodes) -- Numerical Integration Methods -- Trapezium Method -- Simpson's Method -- Ordinary Differential Equations -- Euler's Method -- Heun's Method -- Taylor Series Method
Summary 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. Programming MATLAB for Numerical Analysis introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. You will first become familiar with the MATLAB environment, and then you will begin to harness the power of MATLAB. You will learn the MATLAB language, starting with an introduction to variables, and how to manipulate numbers, vectors, matrices, arrays and character strings. You will learn about MATLAB?s high-precision capabilities, and how you can use MATLAB to solve problems, making use of arithmetic, relational and logical operators in combination with the common functions and operations of real and complex analysis and linear algebra. You will learn to implement various numerical methods for optimization, interpolation and solving non-linear equations. You will discover how MATLAB can solve problems in differential and integral calculus, both numerically and symbolically, including techniques for solving ordinary and partial differential equations, and how to graph the solutions in brilliant high resolution. You will then expand your knowledge of the MATLAB language by learning how to use commands which enable you to investigate the convergence of sequences and series, and explore continuity and other analytical features of functions in one and several variables
Notes Online resource; title from PDF title page (SpringerLink, viewed September 29, 2014)
SUBJECT MATLAB. http://id.loc.gov/authorities/names/n92036881
MATLAB fast
Subject Numerical analysis -- Data processing
MATHEMATICS -- Essays.
MATHEMATICS -- Pre-Calculus.
MATHEMATICS -- Reference.
Numerical analysis -- Data processing
Form Electronic book
ISBN 9781484202951
1484202953