Mathematical models: mechanical vibrations, population dynamics, and traffic flow: an introduction to applied mathematics
by Richard Haberman (Society for Industrial and Applied Mathematics, 1998)
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| Mathematics is a grand subject in the way it can be applied to various problems in science and engineering. To use mathematics, one needs to understand the physical context. The author uses mathematical techniques along with observations and experiments to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow. Equal emphasis is placed on the mathematical formulation of the problem and the interpretation of the results. In the sections on mechanical vibrations and population dynamics, the author emphasizes the nonlinear aspects of ordinary differential equations and develops the concepts of equilibrium solutions and their stability. He introduces phase plane methods for the nonlinear pendulum and for predator-prey and competing species models. Haberman develops the method of characteristics to analyze the nonlinear partial differential equations that describe traffic flow. Fan-shaped characteristics describe the traffic situation that occurs when a traffic light turns green and shock waves describe the effects of a red light or traffic accident. Although it was written over 20 years ago, this book is still relevant. It is intended as an introduction to applied mathematics, but can be used for undergraduate courses in mathematical modeling or nonlinear dynamical systems or to supplement courses in ordinary or partial differential equations. |
 Mathematical models mechanical vibrations, population dynamics, and traffic flow an introduction to applied mathematics.pdf :: Unduh |
| No. Panggil : | e20443132 |
| Entri utama-Nama orang : | |
| Subjek : | |
| Penerbitan : | Philadelphia : Society for Industrial and Applied Mathematics, 1998 |
| Sumber Pengatalogan: | LibUI eng rda |
| Tipe Konten: | text |
| Tipe Media: | computer |
| Tipe Pembawa: | online resource |
| Deskripsi Fisik: | xvii, 402 pages : illustration |
| Tautan: | http://portal.igpublish.com/iglibrary/search/SIAMB0000084.main.html?1 |
| Lembaga Pemilik: | |
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| No. Panggil | No. Barkod | Ketersediaan |
|---|---|---|
| e20443132 | 20-23-56044153 | TERSEDIA |
| Ulasan: |
| Tidak ada ulasan pada koleksi ini: 20443132 |
