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|a 9780387299303
|9 978-0-387-29930-3
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|a 10.1007/0-387-29930-0
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|a 515.35
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|a Logan, J. David.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a A First Course in Differential Equations
|h [electronic resource] /
|c by J. David Logan.
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|a 1st ed. 2006.
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|a New York, NY :
|b Springer New York :
|b Imprint: Springer,
|c 2006.
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|a XV, 290 p.
|b online resource.
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|a text
|b txt
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|a computer
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|a online resource
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|a text file
|b PDF
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|a Undergraduate Texts in Mathematics,
|x 2197-5604
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|a Preface -- Differential Equations and Models -- Analytic Solutions and Approximations.-Second-Order Differential Equations -- Laplace Transforms -- Linear Systems -- Nonlinear Systems -- Appendix A: References -- Appendix B: A Brief on MATLAB -- Appendix C: Maple Commands -- Appendix D: Sample Examinations -- Appendix E: Solutions to Selected Exercises.
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|a This text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasizes graphical, analytical, and numerical approaches, and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics. The topics include: * separable and linear first-order equations; * autonomous equations; * second order linear homogeneous and nonhomogeneous equations; * Laplace transforms; * linear and nonlinear systems in the phase plane. Many exercises are provided, in addition to examples from engineering, ecology, physics, economics, and other areas. An expanded section on the required linear algebra is presented, and an appendix contains templates of Maple and MATLAB commands and programs which are useful in differential equations.
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|a Differential equations.
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|a Algebras, Linear.
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|a Differential Equations.
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|a Linear Algebra.
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|a SpringerLink (Online service)
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|t Springer Nature eBook
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|i Printed edition:
|z 9780387507378
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|i Printed edition:
|z 9780387259635
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|i Printed edition:
|z 9780387259642
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|a Undergraduate Texts in Mathematics,
|x 2197-5604
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|u https://doi.uam.elogim.com/10.1007/0-387-29930-0
|z Texto Completo
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|a ZDB-2-SMA
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|a ZDB-2-SXMS
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|a Mathematics and Statistics (SpringerNature-11649)
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|a Mathematics and Statistics (R0) (SpringerNature-43713)
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