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008 170212s2015 gw | s |||| 0|eng d
020 _a9783319178523
_9978-3-319-17852-3
024 7 _a10.1007/978-3-319-17852-3
_2doi
035 _ato000559676
040 _aSpringer
_cSpringer
_dRU-ToGU
050 4 _aQA372
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.352
_223
100 1 _aLogan, J. David.
_eauthor.
_9464605
245 1 2 _aA First Course in Differential Equations
_helectronic resource
_cby J. David Logan.
250 _a3rd ed. 2015.
260 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2015.
300 _aXIII, 369 p. 101 illus., 13 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aUndergraduate Texts in Mathematics,
_x0172-6056
505 0 _aPreface to the Third Edition.-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.
520 _aThe third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market. It presents a thorough treatment of the standard topics in an accessible, easy-to-read, format. The overarching perspective of the text conveys that differential equations are about applications. 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. …select Dave Logan’s new and improved text for my course.” —Robert E. O’Malley, Jr., SIAM Review, Vol. 53 (2), 2011  “Aims to provide material for a one-semester course that emphasizes the basic ideas, solution methods, and an introduction to modeling. …The book that results offers a concise introduction to the subject for students of mathematics, science and engineering who have completed the introductory calculus sequence. …This book is worth a careful look as a candidate text for the next differential equations course you teach.” —William J. Satzer, MAA Reviews, January, 2011.
650 0 _amathematics.
_9566183
650 0 _aDifferential Equations.
_9303496
650 0 _aApplied mathematics.
_9460111
650 0 _aEngineering mathematics.
_9303575
650 0 _aMathematical models.
_9460208
650 1 4 _aMathematics.
_9566184
650 2 4 _aOrdinary Differential Equations.
_9303501
650 2 4 _aMathematical Modeling and Industrial Mathematics.
_9303944
650 2 4 _aApplications of Mathematics.
_9296781
710 2 _aSpringerLink (Online service)
_9143950
773 0 _tSpringer eBooks
830 0 _aUndergraduate Texts in Mathematics,
_9306113
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-17852-3
912 _aZDB-2-SMA
999 _c414906