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First Course in Differential Equations

First Course in Differential Equations - 2nd edition

First Course in Differential Equations - 2nd edition

ISBN13: 9781441975911

ISBN10: 1441975918

First Course in Differential Equations by J. David Logan - ISBN 9781441975911
Edition: 2ND 11
Copyright: 2011
Publisher: Springer-Verlag New York
Published:
International: No
First Course in Differential Equations by J. David Logan - ISBN 9781441975911

ISBN13: 9781441975911

ISBN10: 1441975918

Edition: 2ND 11

Other Editions of First Course in Differential Equations


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Summary

This concise and up-to-date textbook is designed for the standard sophomore course in differential equations. It treats the basic ideas, models, and solution methods in a user friendly format that is accessible to engineers, scientists, economists, and mathematics majors. It emphasizes analytical, graphical, and numerical techniques, and it provides the tools needed by students to continue to the next level in applying the methods to more advanced problems. There is a strong connection to applications with motivations in mechanics and heat transfer, circuits, biology, economics, chemical reactors, and other areas. Moreover, the text contains a new, elementary chapter on systems of differential equations, both linear and nonlinear, that introduces key ideas without matrix analysis. Two subsequent chapters treat systems in a more formal way. Briefly, the topics include: First-order equations: separable, linear, autonomous, and bifurcation phenomena; Second-order linear homogeneous and non-homogeneous equations; Laplace transforms; and Linear and nonlinear systems, and phase plane properties.

Other Editions of First Course in Differential Equations

First Course in Differential Equations by J. David Logan - ISBN 9780387259642