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First Course in Differential Equations

First Course in Differential Equations - 2nd edition

ISBN13: 978-1441975911

Cover of First Course in Differential Equations 2ND 11 (ISBN 978-1441975911)
ISBN13: 978-1441975911
ISBN10: 1441975918
Cover type: Hardback
Edition/Copyright: 2ND 11
Publisher: Springer-Verlag New York
Published: 2011
International: No

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First Course in Differential Equations - 2ND 11 edition

ISBN13: 978-1441975911

J. David Logan

ISBN13: 978-1441975911
ISBN10: 1441975918
Cover type: Hardback
Edition/Copyright: 2ND 11
Publisher: Springer-Verlag New York

Published: 2011
International: No
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.

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