Linear Algebra And Differential Equations Using Matlab

Author : Martin Golubitsky,Michael Dellnitz
Publisher : Cengage Learning
Page : 704 pages
File Size : 51,9 Mb
Release : 1999-01
Category : Computers
ISBN : 0534354254

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Linear Algebra and Differential Equations Using MATLAB by Martin Golubitsky,Michael Dellnitz Pdf

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.

Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
Page : 0 pages
File Size : 42,9 Mb
Release : 2015-02-12
Category : Mathematics
ISBN : 0980232791

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Differential Equations and Linear Algebra by Gilbert Strang Pdf

Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Author : Martin Golubitsky,Elizabeth Golubitsky
Publisher : Unknown
Page : 359 pages
File Size : 52,9 Mb
Release : 1999
Category : Electronic
ISBN : 0534363075

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Linear Alg Diff Equat Sol by Martin Golubitsky,Elizabeth Golubitsky Pdf

Contains solutions to all exercises in the text.

Author : Rizwan Butt
Publisher : Unknown
Page : 0 pages
File Size : 42,8 Mb
Release : 2016
Category : Computers
ISBN : 1783322233

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An Introduction to Differential Equations Using MATLAB by Rizwan Butt Pdf

An Introduction to Differential Equations using MATLAB exploits the symbolic, numerical, and graphical capabilities of MATLAB to develop a thorough understanding of differential equations algorithms.

Author : Stephen A. Wirkus,Randall J. Swift
Publisher : CRC Press
Page : 689 pages
File Size : 46,8 Mb
Release : 2006-10-23
Category : Mathematics
ISBN : 9781420010411

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A Course in Ordinary Differential Equations by Stephen A. Wirkus,Randall J. Swift Pdf

The first contemporary textbook on ordinary differential equations (ODEs) to include instructions on MATLAB, Mathematica, and Maple A Course in Ordinary Differential Equations focuses on applications and methods of analytical and numerical solutions, emphasizing approaches used in the typical engineering, physics, or mathematics student's field o

Author : Erwin Kleinfeld,Margaret Kleinfeld
Publisher : Addison-Wesley Longman
Page : 228 pages
File Size : 40,9 Mb
Release : 2001
Category : Computers
ISBN : 0130609455

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Understanding Linear Algebra Using MATLAB by Erwin Kleinfeld,Margaret Kleinfeld Pdf

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

Author : P. Mohana Shankar
Publisher : CRC Press
Page : 448 pages
File Size : 45,9 Mb
Release : 2018-04-17
Category : Mathematics
ISBN : 9781351385749

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Differential Equations by P. Mohana Shankar Pdf

The book takes a problem solving approach in presenting the topic of differential equations. It provides a complete narrative of differential equations showing the theoretical aspects of the problem (the how's and why's), various steps in arriving at solutions, multiple ways of obtaining solutions and comparison of solutions. A large number of comprehensive examples are provided to show depth and breadth and these are presented in a manner very similar to the instructor's class room work. The examples contain solutions from Laplace transform based approaches alongside the solutions based on eigenvalues and eigenvectors and characteristic equations. The verification of the results in examples is additionally provided using Runge-Kutta offering a holistic means to interpret and understand the solutions. Wherever necessary, phase plots are provided to support the analytical results. All the examples are worked out using MATLAB® taking advantage of the Symbolic Toolbox and LaTex for displaying equations. With the subject matter being presented through these descriptive examples, students will find it easy to grasp the concepts. A large number of exercises have been provided in each chapter to allow instructors and students to explore various aspects of differential equations.

Author : Jichun Li,Yi-Tung Chen
Publisher : CRC Press
Page : 376 pages
File Size : 52,6 Mb
Release : 2008-10-20
Category : Mathematics
ISBN : 9781420089059

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Computational Partial Differential Equations Using MATLAB by Jichun Li,Yi-Tung Chen Pdf

This textbook introduces several major numerical methods for solving various partial differential equations (PDEs) in science and engineering, including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques that include the classic finite difference method and the finite element method as well as state-of-the-art numerical

Author : Stephen A. Wirkus,Randall J. Swift,Ryan Szypowski
Publisher : CRC Press
Page : 788 pages
File Size : 51,9 Mb
Release : 2017-01-24
Category : Mathematics
ISBN : 9781498736060

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A Course in Differential Equations with Boundary Value Problems by Stephen A. Wirkus,Randall J. Swift,Ryan Szypowski Pdf

A Course in Differential Equations with Boundary Value Problems, 2nd Edition adds additional content to the author’s successful A Course on Ordinary Differential Equations, 2nd Edition. This text addresses the need when the course is expanded. The focus of the text is on applications and methods of solution, both analytical and numerical, with emphasis on methods used in the typical engineering, physics, or mathematics student’s field of study. The text provides sufficient problems so that even the pure math major will be sufficiently challenged. The authors offer a very flexible text to meet a variety of approaches, including a traditional course on the topic. The text can be used in courses when partial differential equations replaces Laplace transforms. There is sufficient linear algebra in the text so that it can be used for a course that combines differential equations and linear algebra. Most significantly, computer labs are given in MATLAB®, Mathematica®, and MapleTM. The book may be used for a course to introduce and equip the student with a knowledge of the given software. Sample course outlines are included. Features MATLAB®, Mathematica®, and MapleTM are incorporated at the end of each chapter All three software packages have parallel code and exercises There are numerous problems of varying difficulty for both the applied and pure math major, as well as problems for engineering, physical science and other students. An appendix that gives the reader a "crash course" in the three software packages Chapter reviews at the end of each chapter to help the students review Projects at the end of each chapter that go into detail about certain topics and introduce new topics that the students are now ready to see Answers to most of the odd problems in the back of the book

Author : Dingyü Xue
Publisher : Walter de Gruyter GmbH & Co KG
Page : 451 pages
File Size : 52,5 Mb
Release : 2020-04-06
Category : Computers
ISBN : 9783110675252

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Differential Equation Solutions with MATLAB® by Dingyü Xue Pdf

This book focuses the solutions of differential equations with MATLAB. Analytical solutions of differential equations are explored first, followed by the numerical solutions of different types of ordinary differential equations (ODEs), as well as the universal block diagram based schemes for ODEs. Boundary value ODEs, fractional-order ODEs and partial differential equations are also discussed.

Author : Matthew R. Boelkins,Jack L. Goldberg,Merle C. Potter
Publisher : OUP USA
Page : 572 pages
File Size : 48,8 Mb
Release : 2009-11-05
Category : Mathematics
ISBN : 9780195385861

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Differential Equations with Linear Algebra by Matthew R. Boelkins,Jack L. Goldberg,Merle C. Potter Pdf

Differential Equations with Linear Algebra explores the interplay between linear algebra and differential equations by examining fundamental problems in elementary differential equations. With an example-first style, the text is accessible to students who have completed multivariable calculus and is appropriate for courses in mathematics and engineering that study systems of differential equations.

Author : John C. Polking,David Arnold
Publisher : Unknown
Page : 254 pages
File Size : 52,8 Mb
Release : 1999
Category : Mathematics
ISBN : STANFORD:36105121838861

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Ordinary Differential Equations Using MATLAB by John C. Polking,David Arnold Pdf

Author : John C. Polking
Publisher : Pearson Education India
Page : 264 pages
File Size : 54,8 Mb
Release : 2009
Category : Differential equations
ISBN : 8131726932

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Ordinary Differential Equations Using MATLAB by John C. Polking Pdf

Author : Crista Arangala
Publisher : CRC Press
Page : 155 pages
File Size : 40,9 Mb
Release : 2019-03-07
Category : Mathematics
ISBN : 9781351664073

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Exploring Linear Algebra by Crista Arangala Pdf

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

Author : Mark McKibben,Micah D. Webster
Publisher : CRC Press
Page : 500 pages
File Size : 42,9 Mb
Release : 2014-09-08
Category : Mathematics
ISBN : 9781466557079

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Differential Equations with MATLAB by Mark McKibben,Micah D. Webster Pdf

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.