Differential Equations and Linear Algebra Book

Differential Equations and Linear Algebra


  • Author : Gilbert Strang
  • Publisher : Wellesley-Cambridge Press
  • Release Date : 2015-02-12
  • Genre: Mathematics
  • Pages : 510
  • ISBN 10 : 0980232791

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Differential Equations and Linear Algebra Excerpt :

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 Book

Differential Equations


  • Author : Anindya Dey
  • Publisher : CRC Press
  • Release Date : 2021-09-27
  • Genre: Mathematics
  • Pages : 522
  • ISBN 10 : 9781000436792

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Differential Equations Excerpt :

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 and pathological.

Linear Algebra to Differential Equations Book

Linear Algebra to Differential Equations


  • Author : J. Vasundhara Devi
  • Publisher : Chapman & Hall/CRC
  • Release Date : 2021
  • Genre: Mathematics
  • Pages : 416
  • ISBN 10 : 1351014951

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Linear Algebra to Differential Equations Excerpt :

"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 large systems of linear equations as well as large systems of linear differential equations. Along with the standard numerical methods, methods that curb the progress of error are given for solving linear systems of equations. The topics of linear algebra and differential equations are linked by Kronecker products and calculus of matrices. These topics are useful in dealing with linear systems of differential equations and matrix differential equations. Differential equations are treated in terms of vector and matrix differential systems, as they naturally arise while formulating practical problems. The essential concepts dealing with the solutions and their stability are briefly presented to motivate the reader towards further investigation. This book caters to the needs of Engineering students in general and in particular, to students of Computer Science & Engineering, Artificial Intelligence, Machine Learning and Robotics. Further, the book provides a quick and complete overview of linear algebra and introduces linear differential systems, serving the basic requirements of scientists and researchers in applied fields. Features Provides complete basic knowledge of the subject Exposes the necessary topics lucidly Introduces the abstraction and at the same time is down to earth Highlights numerical methods and approaches that are more useful Essential techniques like SVD and PCA are given Applications (both classical and novel) bring out similarities in various disciplines: Illustrative examples for every concept: A brief overview of techniques that hopefully serves the present and future needs of students and scientists"--

Ordinary Differential Equations and Linear Algebra  A Systems Approach Book

Ordinary Differential Equations and Linear Algebra A Systems Approach


  • Author : Todd Kapitula
  • Publisher : SIAM
  • Release Date : 2015-11-17
  • Genre: Mathematics
  • Pages : 300
  • ISBN 10 : 9781611974096

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Ordinary Differential Equations and Linear Algebra A Systems Approach Excerpt :

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 is used for intermediate calculations (Gaussian elimination, complicated integrals, etc.); however, the text is not tailored toward a particular system.√∑Ordinary Differential Equations and Linear Algebra: A Systems Approach√∑systematically develops the linear algebra needed to solve systems of ODEs and includes over 15 distinct applications of the theory, many of which are not typically seen in a textbook at this level (e.g., lead poisoning, SIR models, digital filters). It emphasizes mathematical modeling and contains group projects at the end of each chapter that allow students to more fully explore the interaction between the modeling of a system, the solution of the model, and the resulting physical description.√∑

Differential Equations and Linear Algebra Book

Differential Equations and Linear Algebra


  • Author : Charles Henry Edwards
  • Publisher : Pearson
  • Release Date : 2013-08-27
  • Genre: Algebras, Linear
  • Pages : 689
  • ISBN 10 : 1292039086

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Differential Equations and Linear Algebra Excerpt :

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 algebraic and geometric approaches, this text discusses mathematical modeling of real-world phenomena, with a fresh new computational and qualitative flavor evident throughout in figures, examples, problems, and applications. In the Third Edition, new graphics and narrative have been added as needed-yet the proven chapter and section structure remains unchanged, so that class notes and syllabi will not require revision for the new edition.

Multivariable Calculus  Linear Algebra  and Differential Equations Book

Multivariable Calculus Linear Algebra and Differential Equations


  • Author : Stanley I. Grossman
  • Publisher : Academic Press
  • Release Date : 2014-05-10
  • Genre: Mathematics
  • Pages : 992
  • ISBN 10 : 9781483218038

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Multivariable Calculus Linear Algebra and Differential Equations Excerpt :

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 history and development of calculus. The book is divided into five parts. The first part includes multivariable calculus material. The second part is an introduction to linear algebra. The third part of the book combines techniques from calculus and linear algebra and contains discussions of some of the most elegant results in calculus including Taylor's theorem in "n" variables, the multivariable mean value theorem, and the implicit function theorem. The fourth section contains detailed discussions of first-order and linear second-order equations. Also included are optional discussions of electric circuits and vibratory motion. The final section discusses Taylor's theorem, sequences, and series. The book is intended for sophomore college students of advanced calculus.

Introduction to Linear Algebra and Differential Equations Book

Introduction to Linear Algebra and Differential Equations


  • Author : John W. Dettman
  • Publisher : Courier Corporation
  • Release Date : 2012-10-05
  • Genre: Mathematics
  • Pages : 432
  • ISBN 10 : 9780486158310

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Introduction to Linear Algebra and Differential Equations Excerpt :

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 Book

Differential Equations with Linear Algebra


  • Author : Matthew R. Boelkins
  • Publisher : OUP USA
  • Release Date : 2009-11-05
  • Genre: Mathematics
  • Pages : 572
  • ISBN 10 : 9780195385861

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Differential Equations with Linear Algebra Excerpt :

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.

Differential Equations  Dynamical Systems  and Linear Algebra Book
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Differential Equations Dynamical Systems and Linear Algebra


  • Author : Morris W. Hirsch
  • Publisher : Academic Press
  • Release Date : 1974-06-28
  • Genre: Mathematics
  • Pages : 358
  • ISBN 10 : 9780080873763

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Differential Equations Dynamical Systems and Linear Algebra Excerpt :

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.

Introduction to Applied Linear Algebra Book

Introduction to Applied Linear Algebra


  • Author : Stephen Boyd
  • Publisher : Cambridge University Press
  • Release Date : 2018-06-07
  • Genre: Business & Economics
  • Pages : 476
  • ISBN 10 : 9781316518960

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Introduction to Applied Linear Algebra Excerpt :

A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Linear Algebra Book

Linear Algebra


  • Author : Tom M. Apostol
  • Publisher : John Wiley & Sons
  • Release Date : 2014-08-22
  • Genre: Mathematics
  • Pages : 347
  • ISBN 10 : 9781118626184

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Linear Algebra Excerpt :

Developed from the author's successful two-volume Calculus text this book presents Linear Algebra without emphasis on abstraction or formalization. To accommodate a variety of backgrounds, the text begins with a review of prerequisites divided into precalculus and calculus prerequisites. It continues to cover vector algebra, analytic geometry, linear spaces, determinants, linear differential equations and more.

Linear Algebra and Ordinary Differential Equations  softcover  Book

Linear Algebra and Ordinary Differential Equations softcover


  • Author : Alan Jeffrey
  • Publisher : CRC Press
  • Release Date : 1991-03-03
  • Genre: Mathematics
  • Pages : 1136
  • ISBN 10 : 0865421145

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Linear Algebra and Ordinary Differential Equations softcover Excerpt :

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 a detailed development of matrix algebra, preceded by a short discussion of the algebra of vectors. New ideas are introduced with carefully chosen illustrative examples, which in turn are reinforced by the problem sets at the end of each section. The problem sets are divided into two parts. The first part contains straightforward problems similar to those in the text that are designed to emphasize key concepts and develop manipulative skills. The second part provides a more difficult group of problems that both extend the text and provide a deeper insight into the subject.