Dynamical Systems. An Introduction with Applications in Economics and Biology

✍ Scribed by Pierre N. V. Tu

• Book ID: 127455108
• Publisher: Springer-Verlag
• Year: 1994
• Tongue: English
• Weight: 4 MB
• Edition: 2 Rev Sub
• Category: Library
• ISBN-13: 9780387576619

✦ Synopsis

This book - perhaps the only of its kind - gives a comprehensive account of Dynamical Systems in a plain non-technical language which is as rigorous as it can be made at this introductory level. Starting from the first steps of differential equations, on the assumption that readers only have a modest mathematical background, it quickly takes them to nonlinear dynamical systems, linearization theory, limit cycles, Gradient, Lagrangean and Hamiltonian dynamical systems. Apart from a new chapter on Floquet theory, Centre Manifold theorems and Liapunov-Schmidt reduction, this second edition also includes new materials, additional examples, illustrations and applications: almost every chapter has been re-written and enlarged to keep up with rapid advances in this field.