MTU Cork Library Catalogue

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Mathematics for dynamic modeling / Edward Beltrami.

By: Beltrami, Edward J.
Material type: materialTypeLabelBookPublisher: 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: 003.85
Contents:
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.
Holdings
Item type Current library Call number Copy number Status Date due Barcode Item holds
General Lending MTU Bishopstown Library Lending 003.85 (Browse shelf(Opens below)) 1 Available 00074761
Total holds: 0

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

Author notes provided by Syndetics

Edward Beltrami has been a professor in the Department of Applied Mathematics and Statistics at SUNY Stony Brook for three decades. Prior to this,Dr. Beltrami worked as an engineer at the former Grumman Aerospace Corporation. He has lectured widely and spent extended periods at universities abroad, especially in Italy. With a joint appointment in the Marine Sciences Research Center at SUNY, Beltrami has wide-ranging research interests, from optimization methods in Operation Research to the dynamics of biochemical reactions in blood clotting.

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