Differential Equations and Linear Algebra
  • Author : Gilbert Strang
  • Release Date : 12 February 2015
  • Publisher : Wellesley-Cambridge Press
  • Genre : Mathematics
  • Pages : 510
  • ISBN 13 : 0980232791

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Book Description: 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.

Differential Equations and Linear Algebra

Differential Equations and Linear Algebra

Author : Gilbert Strang
Publisher : Wellesley-Cambridge Press
Genre : Mathematics
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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 ...

Differential Equations

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Author : Anindya Dey
Publisher : CRC Press
Genre : Mathematics
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Differential Equations: A Linear Algebra Approach follows an innovative approach of inculcating linear algebra and elementary functional analysis in the backdrop of even the simple methods of solving ordinary differential equations. The contents of the book have been made user-friendly through concise useful theoretical discussions and numerous illustrative examples practical ...

Linear Algebra to Differential Equations

Linear Algebra to Differential Equations

Author : J. Vasundhara Devi,Sadashiv G. Deo,Ramakrishna Khandeparkar
Publisher : CRC Press
Genre : Mathematics
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Linear Algebra to Differential Equations concentrates on the essential topics necessary for all engineering students in general and computer science branch students, in particular. Specifically, the topics dealt will help the reader in applying linear algebra as a tool. The advent of high-speed computers has paved the way for studying ...

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Ordinary Differential Equations and Linear Algebra A Systems Approach

Author : Todd Kapitula
Publisher : SIAM
Genre : Mathematics
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Ordinary differential equations (ODEs) and linear algebra are foundational postcalculus mathematics courses in the sciences. The goal of this text is to help students master both subject areas in a one-semester course. Linear algebra is developed first, with an eye toward solving linear systems of ODEs. A computer algebra system ...

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Author : John W. Dettman
Publisher : Courier Corporation
Genre : Mathematics
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Excellent introductory text focuses on complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions, more. Includes 48 black-and-white illustrations. Exercises with solutions. Index....

Differential Equations with Linear Algebra

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Author : Matthew R. Boelkins,Jack L. Goldberg,Merle C. Potter
Publisher : OUP USA
Genre : Mathematics
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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 and Linear Algebra

Differential Equations and Linear Algebra

Author : Charles Henry Edwards,David E. Penney
Publisher : Pearson
Genre : Algebras, Linear
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For courses in Differential Equations and Linear Algebra. Acclaimed authors Edwards and Penney combine core topics in elementary differential equations with those concepts and methods of elementary linear algebra needed for a contemporary combined introduction to differential equations and linear algebra. Known for its real-world applications and its blend of ...

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Linear Algebra and Differential Equations

Author : Alexander Givental
Publisher : American Mathematical Soc.
Genre : Mathematics
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The material presented in this book corresponds to a semester-long course, ``Linear Algebra and Differential Equations'', taught to sophomore students at UC Berkeley. In contrast with typical undergraduate texts, the book offers a unifying point of view on the subject, namely that linear algebra solves several clearly-posed classification problems about ...

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Author : Stanley I. Grossman
Publisher : Academic Press
Genre : Mathematics
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Multivariable Calculus, Linear Algebra, and Differential Equations, Second Edition contains a comprehensive coverage of the study of advanced calculus, linear algebra, and differential equations for sophomore college students. The text includes a large number of examples, exercises, cases, and applications for students to learn calculus well. Also included is the ...

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Author : Stephen Boyd,Lieven Vandenberghe
Publisher : Cambridge University Press
Genre : Business & Economics
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A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples....

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Author : Morris W. Hirsch,Robert L. Devaney,Stephen Smale
Publisher : Academic Press
Genre : Mathematics
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This book is about dynamical aspects of ordinary differential equations and the relations between dynamical systems and certain fields outside pure mathematics. A prominent role is played by the structure theory of linear operators on finite-dimensional vector spaces; the authors have included a self-contained treatment of that subject....

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Differential Equations Linear Algebra

Author : Michael D. Greenberg
Publisher : Unknown
Genre : Mathematics
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Written by a mathematician/engineer/scientist author who brings all three perspectives to the book. This volume offers an extremely easy-to-read and easy-to-comprehend exploration of both ordinary differential equations and linear algebra--motivated throughout by high-quality applications to science and engineering. Features many optional sections and subsections that allow topics to ...

Linear Algebra and Ordinary Differential Equations  softcover

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Author : Alan Jeffrey
Publisher : CRC Press
Genre : Mathematics
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This book, written for undergraduate engineering and applied mathematics students, incorporates a broad coverage of essential standard topics in differential equations with material important to the engineering and applied mathematics fields. Because linear differential equations and systems play an essential role in many applications, the book presents linear algebra using ...