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This book presents scientific calculation techniques through examples and exercises resolved with MATLAB software and its application to engineering and experimental sciences. In successive chapters topics relating to the differential and integral calculus, calculation of limits of sequences and functions, to work with numerical series and power series, to work with differential equations, finite difference equations and differential equations in partial derivatives. Applications of the derivative and the integral in one and several variables, both in the calculation of areas and volumes, are developed with special emphasis as in the field of optimization. Also treated especially applications of differential equations and numerical calculation methods that approximate the equations and systems of differential ecuacuiones of first order and higher order. The contents of the book special also refers to work with operators and functions of real and complex variable and especially the use of specialized functions and functions in m-ficheros defined to facilitate programming. Likewise, presents a wide graphic content that includes the representation of curves, surfaces, contours, graphics of meshes and volumes coordinates Cartesian, implicit, explicit, parametric and polar and their applications to problems of calculating lengths, areas and volumes.
Offering a concise collection of MatLab programs and exercises to accompany a third semester course in multivariable calculus, A MatLab Companion for Multivariable Calculus introduces simple numerical procedures such as numerical differentiation, numerical integration and Newton's method in several variables, thereby allowing students to tackle realistic problems. The many examples show students how to use MatLab effectively and easily in many contexts. Numerous exercises in mathematics and applications areas are presented, graded from routine to more demanding projects requiring some programming. Matlab M-files are provided on the Harcourt/Academic Press web site at http://www.harcourt-ap.com/matlab.html. Computer-oriented material that complements the essential topics in multivariable calculus Main ideas presented with examples of computations and graphics displays using MATLAB Numerous examples of short code in the text, which can be modified for use with the exercises MATLAB files are used to implement graphics displays and contain a collection of mfiles which can serve as demos
This book presents an introduction to Matlab for students and professionals working in the field of engineering and other scientific and technical sectors, who have an interest or need to apply Matlab as a tool for undertaking simulations and formulating solutions for the problems concerned.The presentation is highly accessible, employing a step-by-step approach in discussing selected problems: deduction of the mathematical model from the physical phenomenon, followed by analysis of the solutions with Matlab. Since a physical phenomenon takes place in space and time, the corresponding mathematical model involves partial differential equations. For this reason, the book is dedicated to numerically solving these equations with the Finite Element Method and Finite Difference Method. Throughout, the text presents numerous examples and exercises with detailed worked solutions. Matlab for Engineering is a useful desktop reference for undergraduates and scientists alike in real world problem solving.Related Link(s)
This comprehensive treatment of multivariable calculus focuses on the numerous tools that MATLAB® brings to the subject, as it presents introductions to geometry, mathematical physics, and kinematics. Covering simple calculations with MATLAB®, relevant plots, integration, and optimization, the numerous problem sets encourage practice with newly learned skills that cultivate the reader’s understanding of the material. Significant examples illustrate each topic, and fundamental physical applications such as Kepler’s Law, electromagnetism, fluid flow, and energy estimation are brought to prominent position. Perfect for use as a supplement to any standard multivariable calculus text, a “mathematical methods in physics or engineering” class, for independent study, or even as the class text in an “honors” multivariable calculus course, this textbook will appeal to mathematics, engineering, and physical science students. MATLAB® is tightly integrated into every portion of this book, and its graphical capabilities are used to present vibrant pictures of curves and surfaces. Readers benefit from the deep connections made between mathematics and science while learning more about the intrinsic geometry of curves and surfaces. With serious yet elementary explanation of various numerical algorithms, this textbook enlivens the teaching of multivariable calculus and mathematical methods courses for scientists and engineers.
This book provides a concise and well balanced overview of the functionality in MATLAB®. It facilitates independent learning with coverage of both the fundamentals and applications in two parts. The essentials of MATLAB are illustrated throughout with many examples from a wide range of familiar scientific and engineering areas, as well as from everyday life. This is an ideal textbook for a first course on MATLAB or an engineering problem solving course using MATLAB, as well as a self-learning tutorial for professionals and students who are expected to learn and apply MATLAB themselves. New to this edition: Updated with the features of Matlab R2012bExpanded discussion of writing functions and scriptsAdditional coverage of formatted output, including more discussion on fprintfMore exercises and examples throughoutNew chapters on Symbolic Math and SIMULINK® toolboxesCompanion website for the reader, providing M-files used within the book and selected solutions to end of chapter problems. Visit store.elsevier.com and search on "Essential Matlab" About the Authors Brian Hahn was a professor in the Department of Mathematics and Applied Mathematics at the University of Cape Town. He received a PhD from University of Cambridge. In his career Brian wrote more than 10 books to teach programming languages to beginners. Daniel Valentine is an Associate professor of Mechanical and Aeronautical Engineering at Clarkson University. He is Affiliate Director of the Clarkson Space Grant Program which is part of the New York NASA Space Grant Consortium, and is a co-author of Aerodynamics for Engineering Students 6e (Butterworth Heinemann, 2012). Updated with the features of Matlab R2012bMore complete coverage of Matlab windows and menusExpanded discussion of writing functions and scriptsRevised and expanded Part II: ApplicationsExpanded section on GUIsMore exercises and examples throughoutCompanion website for students providing M-files used within the book and selected solutions to end of chapter problems.
This book is written for people who wish to learn MATLAB for the first time. The book is really designed for beginners and students. In addition, the book is suitable for students and researchers in various disciplines ranging from engineers and scientists to biologists and environmental scientists. One of the objectives of writing this book is to introduce MATLAB and its powerful and simple computational abilities to students in high schools. The material presented is very easy and simple to understand - written in a gentle manner. The topics covered in the book include arithmetic operations, variables, mathematical functions, complex numbers, vectors, matrices, programming, graphs, solving equations, and an introduction to calculus. In addition, the MATLAB Symbolic Math Toolbox is emphasized in this book. There are also over 230 exercises at the ends of chapters for students to practice. Detailed solutions to all the exercises are provided in the second half of the book.
This BookWare Companion book integrates analytical and computer solutions of problems that lead to understanding of advanced mathematical techniques with applications in engineering, physics and mathematics. Each chapter begins with a preview, and in addition to the text, contains numerous examples, exercises and problems, a bibliography, and answers to exercises. Major topics covered are vector and matrix algebra, differential equations, Fourier analysis, advanced calculus, and partial differential equations. MATLAB is the primary programming language utilized in the text; MATLAB scripts accompanying each chapter are provided on a bound-in disk. A Maple notebook also ships on the disk--the Maple scripts serve the same purpose as the MATLAB scripts for Maple users.
Essential MATLAB for Engineers and Scientists, Third Edition, is an essential guide to MATLAB as a problem-solving tool. It presents MATLAB both as a mathematical tool and a programming language, giving a concise and easy-to-master introduction to its potential and power. Stressing the importance of a structured approach to problem solving, the text provides a step-by-step method for program design and algorithm development. It includes numerous simple exercises for hands-on learning, a chapter on algorithm development and program design, and a concise introduction to useful topics for solving problems in later engineering and science courses: vectors as arrays, arrays of characters, GUIs, advanced graphics, and simulation and numerical methods. The text is ideal for undergraduates in engineering and science taking a course on Matlab. Numerous simple exercises give hands-on learning A chapter on algorithm development and program design Common errors and pitfalls highlighted Concise introduction to useful topics for solving problems in later engineering and science courses: vectors as arrays, arrays of characters, GUIs, advanced graphics, simulation and numerical methods A new chapter on dynamical systems shows how a structured approach is used to solve more complex problems. Text and graphics in four colour
The purpose of this handbook is to allow users to learn and master the mathematics software package MATLAB®, as well as to serve as a quick reference to some of the most used instructions in the package. A unique feature of this handbook is that it can be used by the novice and by experienced users alike. For experienced users, it has four chapters with examples and applications in engineering, finance, physics, and optimization. Exercises are included, along with solutions available for the interested reader on the book’s web page. These exercises are a complement for the interested reader who wishes to get a deeper understanding of MATLAB. Features Covers both MATLAB and introduction to Simulink Covers the use of GUIs in MATLAB and Simulink Offers downloadable examples and programs from the handbook’s website Provides an introduction to object oriented programming using MATLAB Includes applications from many areas Includes the realization of executable files for MATLAB programs and Simulink models
This book is written for people who wish to learn MATLAB for the first time. The book is really designed for beginners and students. In addition, the book is suitable for students and researchers in various disciplines ranging from engineers and scientists to biologists and environmental scientists. One of the objectives of writing this book is to introduce MATLAB and its powerful and simple computational abilities to students in high schools. The material presented is very easy and simple to understand - written in a gentle manner. The topics covered in the book include arithmetic operations, variables, mathematical functions, complex numbers, vectors, matrices, programming, graphs, solving equations, and an introduction to calculus. In addition, the MATLAB Symbolic Math Toolbox is emphasized in this book. There are also over 230 exercises at the ends of chapters for students to practice. Detailed solutions to all the exercises are provided in the second half of the book.