J. David Logan

A First Course in Differential Equations (eBook, PDF)

• Format: PDF

Produktbeschreibung

While the standard sophomore course on elementary differential equations is typically one semester in length, most of the texts currently being used for these courses have evolved into calculus-like presentations that include a large collection of methods and applications, packaged with state-of-the-art color graphics, student solution manuals, the latest fonts, marginal notes, and web-based supplements. All of this adds up to several hundred pages of text and can be very expensive. Many students do not have the time or desire to read voluminous texts and explore internet supplements. This is what makes the format of this differential equations book so unique. It is a one-semester, brief treatment of the basic ideas, models, and solution methods. The author writes concisely and to the point. Many worked examples and exercises are included. A student who works through this primer will have the tools to go to the next level in applying ODEs to problems in engineering, science, and applied mathematics. It will also give instructors, who want more concise coverage, an alternative to existing texts.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Springer US
• Seitenzahl: 290
• Erscheinungstermin: 20. Mai 2006
• Englisch
• ISBN-13: 9780387299303
• Artikelnr.: 38210269

Autorenporträt

J. David Logan is Professor of Mathematics at the University of Nebraska, Lincoln. He is the author of another recent undergraduate textbook, Applied Partial Differential Equations, 2nd Edition (Springer 2004).

Inhaltsangabe

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.

Rezensionen

From the reviews:

"Logan has produced a well-crafted text, densely packed with interesting applications from diverse fields. The chapters cover (ordinary) differential equations, analytical solutions and approximations, second-order differential equations, Laplace transforms, linear and nonlinear systems. The material is well presented and introduces new concepts ... . The text will certainly provide a good mental workout." (Christopher Howls, The Times Higher Education Supplement, November, 2006)

"This is a textbook for those who ... want to learn some methods and techniques to handle mathematical models described by ordinary differential equations. ... the book contains topics which are not included in other similar texts. ... In addition, four appendices are added to complete the presentation ... . The book is written in a pleasant and friendly style. It provides the reader with enough knowledge to engage with more advanced topics of differential equations ... ." (Gheorghe Morosanu, Zentralblatt MATH, Vol. 1088 (14), 2006)

"This text book provides an introduction into ordinary differential equations on a post-calculus level. Its primary goal is a brief and concise ... treatment of the basic ideas, models and solution methods. This goal is reached by a clever selection of the core material. The main text is written in an colloquial and friendly style and supplemented with many exercises and some appendices which among other things cover the use of computer algebra systems as well as solutions to selected exercises." (R. Steinbauer, Monatshefte für Mathematik, Vol. 154 (1), May, 2008)