Matlab Mathematical Analysis Examples And Exercises
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Matlab Mathematical Analysis Examples And Exercises
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Author : Cesar Perez Lopez
language : en
Publisher: Lulu.com
Release Date : 2018-11-30
Matlab Mathematical Analysis Examples And Exercises written by Cesar Perez Lopez and has been published by Lulu.com this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-30 with Technology & Engineering categories.
This book develops the most common mathematical analysis topics: Limits, continuity, derivatives, integrals, differential equations, numerical series. series of powers and other important topics of mathematical analysis. The books complete the concepts with practical exercises and examples that enrich the topics studied. The software used is MATLAB, one of the most used scientific calculations pltyafaormas currently
Matlab Mathematical Analysis Examples And Exercises
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Author : Cesar Perez Lopez
language : en
Publisher: CreateSpace
Release Date : 2013-11
Matlab Mathematical Analysis Examples And Exercises written by Cesar Perez Lopez and has been published by CreateSpace this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11 with Mathematics categories.
This book presents the techniques of mathematical analysis through examples and exercises resolved with MATLAB software. The sections of your content are as follows:Introduction And MATLAB environmentNumerical calculus with MatlabSymbolic calculus with MatlabMatlab and mapleGraphics with MatlabEnvironment and general notationHelp with commandsEscape and exit commands to the MS-DOS environmentMatlab and programmingLimits and continuity. One and several variablesLimits of successionsFunctions limits. Lateral limitsSuccessions functionsContinuitySeveral variables: limits and continuity. Characterization theoremsIterated and directional limitsContinuity in several variablesNumerical series and power seriesSeries. Convergence criteriaNumerical series with not negative termsNumerical alternate seriesPowers seriesFormal powers seriesDevelopment power series and functionsDevelopments in Taylor, Laurent, Pade and Chebyshev seriesDerivatives And applications, one and several VARIABLESDerivative conceptCalculation derivativeTangents, asymptotes, concavity, convexity, maximum, minimum, inflection points and growthApplications to practical problemsPartial derivativesImplicit derivativeDifferentiation in several variablesMaximum and minima of functions of several variablesMaximum and conditioned minima. The method of "Lagrange multipliers"Some applications of the maxima and minima in several variablesVector differential calculus and theorems in several variablesVector differential calculus conceptsThe chain ruleTheorem implicit functionInverse function theoremChange of variable theoremTaylor to n variables theoremFields vector. Rotational, divergence and laplacianTransformation coordinateIntegration and applicationsImmediate integralsIntegration by substitution (or change of variable)Integration by partiesIntegration reduction and cyclic integrationDefinite integralArc of curve lengthArea including between curvesRevolution surfacesVolumes of revolutionCurvilinear integralsIntegration approximate numericImproper integralsParameter –dependent integralsRiemann integralIntegration in several variables and applicationsRegions area and double integrationArea surface by double integrationCalculation volume by double integralsCalculation volumes and triple integralsGreen theoremDivergence theoremStokes theoremDifferential equationsEquations in separated variablesHomogeneous differential equationsExact differential equationsLinear differential equationsOrdinary high –order equationsLinear higher-order homogeneous in constant coefficients equationsHomogeneous equations in constant coefficients, variation of parametersNon-homogeneous equations with variable coefficients. Cauchy -Euler equationsLaplace transformedSystems homogeneous linear equations with constant coefficientsSystems of non-homogeneous linear equations with constant coefficientsEquations order and top grade one, linear and nonlinear, approximate methodsTaylor series methodThe Runge -Kutta methodPartial derivative equationsEquations in finite differences
Matlab Mathematical Analysis
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Author : Cesar Lopez
language : en
Publisher: Apress
Release Date : 2014-12-23
Matlab Mathematical Analysis written by Cesar Lopez and has been published by Apress this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-23 with Computers categories.
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.
Matlab Mathematical Analysis
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Author : Cesar Lopez
language : en
Publisher: Apress
Release Date : 2014-12-24
Matlab Mathematical Analysis written by Cesar Lopez and has been published by Apress this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-24 with Computers categories.
MATLAB Mathematical Analysis presents the techniques of mathematical analysis through examples and exercises resolved with MATLAB software. The purpose is to give you examples of all the mathematical analysis functions offered by MATLAB so that you can use them in your daily work regardless of the application. 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.
Exercises In Computational Mathematics With Matlab
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Author : Tom Lyche
language : en
Publisher: Springer
Release Date : 2014-09-02
Exercises In Computational Mathematics With Matlab written by Tom Lyche and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-02 with Mathematics categories.
Designed to provide tools for independent study, this book contains student-tested mathematical exercises joined with MATLAB programming exercises. Most chapters open with a review followed by theoretical and programming exercises, with detailed solutions provided for all problems including programs. Many of the MATLAB exercises are presented as Russian dolls: each question improves and completes the previous program and results are provided to validate the intermediate programs. The book offers useful MATLAB commands, advice on tables, vectors, matrices and basic commands for plotting. It contains material on eigenvalues and eigenvectors and important norms of vectors and matrices including perturbation theory; iterative methods for solving nonlinear and linear equations; polynomial and piecewise polynomial interpolation; Bézier curves; approximations of functions and integrals and more. The last two chapters considers ordinary differential equations including two point boundary value problems, and deal with finite difference methods for some partial differential equations. The format is designed to assist students working alone, with concise Review paragraphs, Math Hint footnotes on the mathematical aspects of a problem and MATLAB Hint footnotes with tips on programming.
Intelligent Routines
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Author : George A. Anastassiou
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-07-28
Intelligent Routines written by George A. Anastassiou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-28 with Technology & Engineering categories.
Real Analysis is a discipline of intensive study in many institutions of higher education, because it contains useful concepts and fundamental results in the study of mathematics and physics, of the technical disciplines and geometry. This book is the first one of its kind that solves mathematical analysis problems with all four related main software Matlab, Mathcad, Mathematica and Maple. Besides the fundamental theoretical notions, the book contains many exercises, solved both mathematically and by computer, using: Matlab 7.9, Mathcad 14, Mathematica 8 or Maple 15 programming languages. The book is divided into nine chapters, which illustrate the application of the mathematical concepts using the computer. Each chapter presents the fundamental concepts and the elements required to solve the problems contained in that chapter and finishes with some problems left to be solved by the readers. The calculations can be verified by using a specific software such as Matlab, Mathcad, Mathematica or Maple.
Dynamical Systems With Applications Using Matlab
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Author : Stephen Lynch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Dynamical Systems With Applications Using Matlab written by Stephen Lynch and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Technology & Engineering categories.
This introduction to dynamical systems theory guides readers through theory via example and the graphical MATLAB interface; the SIMULINK® accessory is used to simulate real-world dynamical processes. Examples included are from mechanics, electrical circuits, economics, population dynamics, epidemiology, nonlinear optics, materials science and neural networks. The book contains over 330 illustrations, 300 examples, and exercises with solutions.
Intelligent Routines
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Author : George Anastassiou
language : en
Publisher: Springer
Release Date : 2012-07-28
Intelligent Routines written by George Anastassiou and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-28 with Computers categories.
Real Analysis is a discipline of intensive study in many institutions of higher education, because it contains useful concepts and fundamental results in the study of mathematics and physics, of the technical disciplines and geometry. This book is the first one of its kind that solves mathematical analysis problems with all four related main software Matlab, Mathcad, Mathematica and Maple. Besides the fundamental theoretical notions, the book contains many exercises, solved both mathematically and by computer, using: Matlab 7.9, Mathcad 14, Mathematica 8 or Maple 15 programming languages. The book is divided into nine chapters, which illustrate the application of the mathematical concepts using the computer. Each chapter presents the fundamental concepts and the elements required to solve the problems contained in that chapter and finishes with some problems left to be solved by the readers. The calculations can be verified by using a specific software such as Matlab, Mathcad, Mathematica or Maple.
Methods Of Applied Mathematics With A Software Overview
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Author : Jon H. Davis
language : en
Publisher: Birkhäuser
Release Date : 2016-12-09
Methods Of Applied Mathematics With A Software Overview written by Jon H. Davis and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-09 with Mathematics categories.
Broadly organized around the applications of Fourier analysis, "Methods of Applied Mathematics with a MATLAB Overview" covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.
Mathematical Explorations With Matlab
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Author : Ke Chen
language : en
Publisher: Cambridge University Press
Release Date : 1999-04-15
Mathematical Explorations With Matlab written by Ke Chen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-04-15 with Computers categories.
This book is about the kind of mathematics usually encountered in first year university courses. A key feature of the book is that this mathematics is explored in depth using the popular and powerful package Matlab. The emphasis is on understanding and investigating the mathematics, and putting it into practice in a wide variety of modelling situations. In the process, the reader will gain some fluency with Matlab, no starting knowledge of the package being assumed.