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First course in differential equations / Logan, J. David.

By: Series: Undergraduate texts in mathematicsPublication details: Switzerland : Springer, 2015.Edition: 3rd edDescription: xiii, 369 p. : illustrations (some color) ; 25 cmISBN:
  • 9783319178516
Subject(s): DDC classification:
  • 515.35 23 L831
Contents:
1. First-Order Differential Equations -- 2. Second-Order Linear Equations -- 3. Laplace Transforms -- 4. Linear Systems -- 5. Nonlinear Systems -- 6. Computation of Solutions -- Appendix A. Review and Supplementary Exercises.- Appendix B. Matlab(R) Supplement -- References -- Index.
Summary: This book illuminates the mathematical theory in the text with a wide variety of applications that will appeal to students in physics, engineering, the biosciences, economics and mathematics. Instructors are likely to find that the first four or five chapters are suitable for a first course in the subject. This edition contains a healthy increase over earlier editions in the number of worked examples and exercises, particularly those routine in nature. Two appendices include a review with practice problems, and a MATLAB supplement that gives basic codes and commands for solving differential equations. MATLAB is not required; students are encouraged to utilize available software to plot many of their solutions. Solutions to even-numbered problems are available on springer.com. From the reviews of the second edition: The coverage of linear systems in the plane is nicely detailed and illustrated. Simple numerical methods are illustrated and the use of Maple and MATLAB is encouraged.
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Includes bibliographical references and index.

1. First-Order Differential Equations --
2. Second-Order Linear Equations --
3. Laplace Transforms --
4. Linear Systems --
5. Nonlinear Systems --
6. Computation of Solutions --
Appendix A. Review and Supplementary Exercises.-
Appendix B. Matlab(R) Supplement --
References --
Index.

This book illuminates the mathematical theory in the text with a wide variety of applications that will appeal to students in physics, engineering, the biosciences, economics and mathematics. Instructors are likely to find that the first four or five chapters are suitable for a first course in the subject. This edition contains a healthy increase over earlier editions in the number of worked examples and exercises, particularly those routine in nature. Two appendices include a review with practice problems, and a MATLAB supplement that gives basic codes and commands for solving differential equations. MATLAB is not required; students are encouraged to utilize available software to plot many of their solutions. Solutions to even-numbered problems are available on springer.com. From the reviews of the second edition: The coverage of linear systems in the plane is nicely detailed and illustrated. Simple numerical methods are illustrated and the use of Maple and MATLAB is encouraged.

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