Linear Algebra And Differential Equations Using Matlab

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Differential Equations And Linear Algebra

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Author : Gilbert Strang
language : en
Publisher: Wellesley-Cambridge Press
Release Date : 2015-02-12

Differential Equations And Linear Algebra written by Gilbert Strang and has been published by Wellesley-Cambridge Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-12 with Mathematics categories.

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.

A Course In Ordinary Differential Equations

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Author : Stephen A. Wirkus
language : en
Publisher: CRC Press
Release Date : 2006-10-23

A Course In Ordinary Differential Equations written by Stephen A. Wirkus and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-23 with Mathematics categories.

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

Linear Algebra And Differential Equations Using Matlab

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Author : Martin Golubitsky
language : en
Publisher: Cengage Learning
Release Date : 1999-01

Linear Algebra And Differential Equations Using Matlab written by Martin Golubitsky and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-01 with Computers categories.

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.

Computational Partial Differential Equations Using Matlab

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Author : Jichun Li
language : en
Publisher: CRC Press
Release Date : 2008-10-20

Computational Partial Differential Equations Using Matlab written by Jichun Li and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-20 with Mathematics categories.

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

Differential Equations With Matlab

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Author : Mark McKibben
language : en
Publisher: CRC Press
Release Date : 2014-09-08

Differential Equations With Matlab written by Mark McKibben and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-08 with Mathematics categories.

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

Matrix Algebra Using Minimal Matlab

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Author : Joel W. Robbin
language : en
Publisher: CRC Press
Release Date : 2018-10-08

Matrix Algebra Using Minimal Matlab written by Joel W. Robbin and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Mathematics categories.

The strength of this textbook lies in the careful exposition of mathematical thinking, basic set-theoretic notions, and proof techniques combined with contemporary numerical methods used throughout the book. A basic version of computer programs compatible with the widely used program MatLab, and exercises are provided on a disk included with the book.Warmup * Matrix Operations * Invertible Matrices * Subspaces * Rank and Dimension * Geometry * Determinants-I * Diagonalization * Differential Equations * Hermitian Matrices * Triangular Matrices * Unitary Matrices * Block Diagonalization * Jordan Normal Form * Determinants-II * Proofs * Mathematical Induction†* Summary of MINIMAT * Answers * MINIMAT Tutorial (PC Version)

Partial Differential Equations

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Author : Mark S. Gockenbach
language : en
Publisher: SIAM
Release Date : 2010-12-02

Partial Differential Equations written by Mark S. Gockenbach and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-02 with Mathematics categories.

A fresh, forward-looking undergraduate textbook that treats the finite element method and classical Fourier series method with equal emphasis.

Exploring Linear Algebra

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Author : Crista Arangala
language : en
Publisher: CRC Press
Release Date : 2019-03-07

Exploring Linear Algebra written by Crista Arangala and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-07 with Mathematics categories.

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

Differential Equations

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Author : P. Mohana Shankar
language : en
Publisher: CRC Press
Release Date : 2018-04-17

Differential Equations written by P. Mohana Shankar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-17 with Mathematics categories.

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.

Spectral Methods In Matlab

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Author : Lloyd N. Trefethen
language : en
Publisher: SIAM
Release Date : 2000-07-01

Spectral Methods In Matlab written by Lloyd N. Trefethen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-01 with Mathematics categories.

Mathematics of Computing -- Numerical Analysis.