Mathematics for dynamic modeling / Edward Beltrami.
By: Beltrami, Edward J.
Material type: BookPublisher: Boston : Academic Press, c1998Edition: 2nd ed.Description: xiv, 219 p. : ill ; 24 cm. + hbk.ISBN: 0120855666 .Subject(s): Dynamics -- Mathematical models | Differentiable dynamical systems | Mathematical modelsDDC classification: 003.85Item type | Current library | Call number | Copy number | Status | Date due | Barcode | Item holds |
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General Lending | MTU Bishopstown Library Lending | 003.85 (Browse shelf(Opens below)) | 1 | Available | 00074761 |
Enhanced descriptions from Syndetics:
This new edition of Mathematics for Dynamic Modeling updates a widely used and highly-respected textbook. The text is appropriate for upper-level undergraduate and graduate level courses in modeling, dynamical systems, differential equations, and linear multivariable systems offered in a variety of departments including mathematics, engineering, computer science, and economics. The text features many different realistic applications from a wide variety of disciplines.
The book covers important tools such as linearization, feedback concepts, the use of Liapunov functions, and optimal control. This new edition is a valuable tool for understanding and teaching a rapidly growing field. Practitioners and researchers may also find this book of interest.
Includes bibliographical references (pages 207-216) and index.
Part 1: First Thoughts on Equilibria and Stability -- Simple dynamic models -- Ordinary Differential Equations -- Stability of dynamic models -- There is a better way -- A Summary of Part 1 -- Part 2: Further Thoughts and Extensions -- Motion in Time and Space -- Cycles and Bifurcation -- Bifurcation and Catastrophe -- Chaos.
Table of contents provided by Syndetics
- Ordinary Differential Equations
- Stability of Dynamic Models
- There is a Better Way
- Motion in Time and Space
- Cycles and Bifurcation
- Bifurcation and Catastrophe
- Chaos
- References
- Notes
- Index