Differential Equations And Linear Algebra PDF Books

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Differential Equations And Linear Algebra

Differential Equations And Linear Algebra
Author: Gilbert Strang
Publisher: Wellesley-Cambridge Press
ISBN: 9780980232790
Size: 35.29 MB
Format: PDF
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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 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
Language: en
Pages: 510
Authors: Gilbert Strang
Categories: Mathematics
Type: BOOK - Published: 2015-02-12 - Publisher: Wellesley-Cambridge Press
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 & Linear Algebra
Language: en
Pages: 768
Authors: C. Henry Edwards, David E. Penney, David Calvis
Categories: Algebras, Linear
Type: BOOK - Published: 2017-01-04 - Publisher:
For courses in Differential Equations and Linear Algebra . Concepts, methods, and core topics covering elementary differential equations and linear algebra through real-world applications In a contemporary introduction to differential equations and linear algebra, acclaimed authors Edwards and Penney combine core topics in elementary differential equations with concepts and methods of elementary linear algebra. Renowned for its real-world applications and blend of algebraic and geometric approaches, Differential Equations and Linear Algebra introduces you to mathematical modeling of real-world phenomena and offers the best problems sets in any differential equations and linear algebra textbook. The 4th Edition includes fresh new computational and qualitative flavor evident throughout in figures, examples, problems, and applications. Additionally, an Expanded Applications website containing expanded applications and programming tools is now available.
Introduction to Linear Algebra and Differential Equations
Language: en
Pages: 432
Authors: John W. Dettman
Categories: Mathematics
Type: BOOK - Published: 2012-10-05 - Publisher: Courier Corporation
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 and Linear Algebra
Language: en
Pages: 888
Authors: Stephen W. Goode, Scott A. Annin
Categories: Algebras, Linear
Type: BOOK - Published: 2015-12-11 - Publisher: Pearson
For combined differential equations and linear algebra courses teaching students who have successfully completed three semesters of calculus. This complete introduction to both differential equations and linear algebra presents a carefully balanced and sound integration of the two topics. It promotes in-depth understanding rather than rote memorization, enabling students to fully comprehend abstract concepts and leave the course with a solid foundation in linear algebra. Flexible in format, it explains concepts clearly and logically with an abundance of examples and illustrations, without sacrificing level or rigor. A vast array of problems supports the material, with varying levels from which students/instructors can choose.
Elementary Differential Equations with Linear Algebra
Language: en
Pages: 528
Authors: Albert L. Rabenstein
Categories: Mathematics
Type: BOOK - Published: 2014-05-10 - Publisher: Academic Press
Elementary Differential Equations with Linear Algebra, Third Edition provides an introduction to differential equation and linear algebra. This book includes topics on numerical methods and Laplace transforms. Organized into nine chapters, this edition begins with an overview of an equation that involves a single unknown function of a single variable and some finite number of its derivatives. This text then examines a linear system of two equations with two unknowns. Other chapters consider a class of linear transformations that are defined on spaces of functions wherein these transformations are essential in the study of linear differential equations. This book discusses as well the linear differential equations whose coefficients are constant functions. The final chapter deals with the properties of Laplace transform in detail and examine as well the applications of Laplace transforms to differential equations. This book is a valuable resource for mathematicians, students, and research workers.
Differential Equations & Linear Algebra
Language: en
Pages: 615
Authors: Michael D. Greenberg
Categories: Mathematics
Type: BOOK - Published: 2001 - Publisher:
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 be covered comprehensively, moderately, or minimally, and includes supplemental coverage of Maple at the end of most sections. For anyone interested in Differential Equations and Linear Algebra.
Elementary Differential Equations with Linear Algebra
Language: en
Pages: 573
Authors: David L. Powers
Categories: Mathematics
Type: BOOK - Published: 1986 - Publisher: Prindle Weber & Schmidt
Books about Elementary Differential Equations with Linear Algebra
Differential Equations, Dynamical Systems, and Linear Algebra
Language: en
Pages: 358
Authors: Morris W. Hirsch, Robert L. Devaney, Stephen Smale
Categories: Mathematics
Type: BOOK - Published: 1974-06-28 - Publisher: Academic Press
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.
Differential Equations and Linear Algebra
Language: en
Pages: 340
Authors: Henry Edwards
Categories: Mathematics
Type: BOOK - Published: 2008-12-01 - Publisher: Pearson College Division
Books about Differential Equations and Linear Algebra
Differential Equations & Linear Algebra
Language: en
Pages: 705
Authors: Jerry Farlow, James E. Hall, Beverly H. West
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: Pearson College Division
For sophomore-level courses in Differential Equations and Linear Algebra. Extensively rewritten throughout, the Second Edition of this flexible text features a seamless integration of linear algebra into the discipline of differential equations. Abundant computer graphics, IDE interactive illustration software, and well-thought-out problem sets make it an excellent choice for either the combination DE/LA course or pure differential equations courses. The authors' consistent, reader-friendly presentation encourages students to think both quantitatively and qualitatively when approaching differential equations -- and reinforces concepts using similar methods to solve various systems (algebraic, differential, and iterative).