Exploring Linear Algebra

Exploring Linear Algebra PDF

Author: Crista Arangala

Publisher: CRC Press

Published: 2019-03-07

Total Pages: 146

ISBN-13: 1351664085

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Exploring Linear Algebra: Labs and Projects with MATLAB® is a hands-on lab manual that can be used by students and instructors in classrooms every day to guide the exploration of the theory and applications of linear algebra. For the most part, labs discussed in the book can be used individually or in a sequence. Each lab consists of an explanation of material with integrated exercises. Some labs are split into multiple subsections and thus exercises are separated by those subsections. The exercise sections integrate problems using Mathematica demonstrations (an online tool that can be used with a browser with Java capabilities) and MATLAB® coding. This allows students to discover the theory and applications of linear algebra in a meaningful and memorable way. Features: The book’s inquiry-based approach promotes student interaction Each chapter contains a project set which consists of application-driven projects emphasizing the chapter’s materials Adds a project component to any Linear Algebra course Explores many applications to a variety of fields that can promote research projects Employs MATLAB® to calculate and explore concepts and theories of linear algebra

Understanding Linear Algebra Using MATLAB

Understanding Linear Algebra Using MATLAB PDF

Author: Erwin Kleinfeld

Publisher: Addison-Wesley Longman

Published: 2001

Total Pages: 714

ISBN-13: 9780130609458

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For courses in Introductory Linear Algebra. This book focuses on providing projects and problem sets and the MATLAB code needed to solve these materials.

Linear Algebra and Matrix Computations with MATLAB®

Linear Algebra and Matrix Computations with MATLAB® PDF

Author: Dingyü Xue

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2020-03-23

Total Pages: 223

ISBN-13: 3110663716

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The book focused on solving linear algebra practical problems with MATLAB. The input and manipulation of matrices are introduced first, followed by the matrix analysis and transformation problem solutions. Matrix equation solutions, matrix function evaluations, and various linear algebra applications are also demonstrated. With extensive exercises, the book sets up a new viewpoint for the readers in understanding linear algebra problems.

Programming Mathematics Using MATLAB

Programming Mathematics Using MATLAB PDF

Author: Lisa A. Oberbroeckling

Publisher: Academic Press

Published: 2020-05-09

Total Pages: 294

ISBN-13: 0128178000

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Providing an alternative to engineering-focused resources in the area, Programming Mathematics Using MATLAB® introduces the basics of programming and of using MATLAB® by highlighting many mathematical examples. Emphasizing mathematical concepts through the visualization of programming throughout the book, this useful resource utilizes examples that may be familiar to math students (such as numerical integration) and others that may be new (such as fractals). Additionally, the text uniquely offers a variety of MATLAB® projects, all of which have been class-tested thoroughly, and which enable students to put MATLAB® programming into practice while expanding their comprehension of concepts such as Taylor polynomials and the Gram–Schmidt process. Programming Mathematics Using MATLAB® is appropriate for readers familiar with sophomore-level mathematics (vectors, matrices, multivariable calculus), and is useful for math courses focused on MATLAB® specifically and those focused on mathematical concepts which seek to utilize MATLAB® in the classroom. Provides useful visual examples throughout for student comprehension Includes valuable, class-tested projects to reinforce both familiarity with MATLAB® and a deeper understanding of mathematical principles Offers downloadable MATLAB® scripts to supplement practice and provide useful example

Linear Algebra and Differential Equations Using MATLAB

Linear Algebra and Differential Equations Using MATLAB PDF

Author: Martin Golubitsky

Publisher: Cengage Learning

Published: 1999-01

Total Pages: 704

ISBN-13: 9780534354251

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These world-renowned authors integrate linear algebra and ordinary differential equations in this unique book, interweaving instructions on how to use MATLAB® with examples and theory. They use computers in two ways: in linear algebra, computers reduce the drudgery of calculations to help students focus on concepts and methods; in differential equations, computers display phase portraits graphically for students to focus on the qualitative information embodied in solutions, rather than just to learn to develop formulas for solutions.

Differential Equations with MATLAB

Differential Equations with MATLAB PDF

Author: Mark McKibben

Publisher: CRC Press

Published: 2014-09-08

Total Pages: 500

ISBN-13: 1466557079

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A unique textbook for an undergraduate course on mathematical modeling, Differential Equations with MATLAB: Exploration, Applications, and Theory provides students with an understanding of the practical and theoretical aspects of mathematical models involving ordinary and partial differential equations (ODEs and PDEs). The text presents a unifying picture inherent to the study and analysis of more than 20 distinct models spanning disciplines such as physics, engineering, and finance. The first part of the book presents systems of linear ODEs. The text develops mathematical models from ten disparate fields, including pharmacokinetics, chemistry, classical mechanics, neural networks, physiology, and electrical circuits. Focusing on linear PDEs, the second part covers PDEs that arise in the mathematical modeling of phenomena in ten other areas, including heat conduction, wave propagation, fluid flow through fissured rocks, pattern formation, and financial mathematics. The authors engage students by posing questions of all types throughout, including verifying details, proving conjectures of actual results, analyzing broad strokes that occur within the development of the theory, and applying the theory to specific models. The authors’ accessible style encourages students to actively work through the material and answer these questions. In addition, the extensive use of MATLAB® GUIs allows students to discover patterns and make conjectures.

Linear Algebra for Engineers and Scientists Using MATLAB

Linear Algebra for Engineers and Scientists Using MATLAB PDF

Author: Kenneth Hardy

Publisher: Prentice Hall

Published: 2005

Total Pages: 0

ISBN-13: 9780139067280

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Integrating the use of MATLAB in an innovative way, this text is designed for a one term course in introductory linear algebra. Although the book has been developed in the context of engineering and computer science, it should also be suitable for sciencestudents and other audiences.

An Introduction to Applied Numerical Linear Algebra Using MATLAB

An Introduction to Applied Numerical Linear Algebra Using MATLAB PDF

Author: Rizwan Butt

Publisher: Alpha Science International, Limited

Published: 2015

Total Pages: 0

ISBN-13: 9781783322022

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Designed for engineers, mathematician, computer scientists, and physicists or for use as a textbook in computational courses, Applied Numerical Linear Algebra Using MATLAB, provides the reader with numerous applications, m-files, and practical examples to solve problems. Balancing theoretical concepts with computational speed and accuracy, the book includes numerous short programs in MATLAB that can be used to solve problems involving systems of linear equations, matrices, vectors, approximations, eigenvalue, computer graphics, and more. The author emphasizes the basic ideas of numerical techniques and the uses of modern mathematical software (MATLAB) rather than relying only on complex mathematical derivations. The book is accompanied by a CD-ROM with all the figures, codes, solutions, appendices, an introduction to MATLAB commands, and m-files for all the programs.