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Differential Equations and Linear Algebra

3.2/5 ( ratings)

Employing a unique, reader-friendly approach to teaching differential equations, the authors present a book that encourages users to think qualitatively first and quantitatively second when approaching differential equations. Before finding the analytical solution of a differential equation, the book presents the qualitative aspects of the problem--the directional field, the bounded solutions, their range, the presence of constant solutions and so on--to help readers use linear algebra to think about the physical systems being modeled. Topics covered include first-order differential equations, linearity and nonlinearity, linear analysis, linear transformations, linear and nonlinear systems of differential equations, forced systems, discrete dynamical systems and control theory. For individuals seeking a solid, accessible introduction to differential equations and linear algebra.

Language: English

Pages: 641

Format: Hardcover

Publisher: Prentice Hall

Release: September 18, 2001

ISBN: 0130862509

ISBN 13: 9780130862501

Differential Equations and Linear Algebra

3.2/5 ( ratings)

Employing a unique, reader-friendly approach to teaching differential equations, the authors present a book that encourages users to think qualitatively first and quantitatively second when approaching differential equations. Before finding the analytical solution of a differential equation, the book presents the qualitative aspects of the problem--the directional field, the bounded solutions, their range, the presence of constant solutions and so on--to help readers use linear algebra to think about the physical systems being modeled. Topics covered include first-order differential equations, linearity and nonlinearity, linear analysis, linear transformations, linear and nonlinear systems of differential equations, forced systems, discrete dynamical systems and control theory. For individuals seeking a solid, accessible introduction to differential equations and linear algebra.

Language: English

Pages: 641

Format: Hardcover

Publisher: Prentice Hall

Release: September 18, 2001

ISBN: 0130862509

ISBN 13: 9780130862501

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