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A First Course in Differential Equations - J. David Logan

A First Course in Differential Equations

(Autor)

Buch | Softcover
XIII, 369 Seiten
2016 | 3. Softcover reprint of the original 3rd ed. 2015
Springer International Publishing (Verlag)
978-3-319-33075-4 (ISBN)
CHF 74,85 inkl. MwSt

The 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.

J. David Logan is Willa Cather Professor of Mathematics at the University of Nebraska Lincoln. He received his PhD from The Ohio State University and has served on the faculties at the University of Arizona, Kansas State University, and Rensselaer Polytechnic Institute. For many years he served as a visiting scientist at Los Alamos and Lawrence Livermore National Laboratories. He has published widely in differential equations, mathematical physics, fluid and gas dynamics, hydrogeology, and mathematical biology. Dr. Logan has authored 7 books, among them Applied Partial Differential Equations, now in its 3rd edition, published by Springer.

Preface 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.

Erscheinungsdatum
Reihe/Serie Undergraduate Texts in Mathematics
Zusatzinfo XIII, 369 p. 101 illus., 13 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Schlagworte Applications of Mathematics • Applied mathematics • boundary value problems • Differential calculus and equations • Differential Equations • higher-order equations • Laplace Transforms • linear systems • Mathematical Modeling and Industrial Mathematics • Mathematical Modelling • Mathematics • mathematics and statistics • Maths for engineers • Nonlinear Systems • numerical procedures • Ordinary differential equations • second-order equations • series solutions • undergraduate math textbook adoption
ISBN-10 3-319-33075-6 / 3319330756
ISBN-13 978-3-319-33075-4 / 9783319330754
Zustand Neuware
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