Nonlinear Mathematics and its Applications
Proceedings of the EPSRC Postgraduate Spring School in Applied Nonlinear Mathematics, University of Surrey, 1995
- Editor: Philip J. Aston, University of Surrey
- Date Published: June 1996
- availability: Available
- format: Paperback
- isbn: 9780521576765
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The papers in this volume address current topics of research in nonlinear mathematics, including nonlinear dynamics with application to fluid mechanics, boundary layer transition, driven oscillators and waves. There are also papers on problems in nonlinear elasticity and mathematical biology. The book forms a coherent and accessible account of recent advances in nonlinear mathematics for students in applied mathematics, physics, and engineering.
Read more- A coherent and accessible account of recent advances in applied nonlinear mathematics research
- Includes work from prominent workers in this area (Gibbon, Mullin)
- Covers a range of important application areas
Reviews & endorsements
"...Philip J. Aston has superbly executed his role as editor of this anthology by creating a readable, visually attractive, and technically informative textbook from the contributions of a collection of authors, whose names are a 'who's who' of nonlinear mathematics." John Stockwell, The Leading Edge
See more reviews"This book provides a broad range of applications for nonlinear mathematics and positively demonstrates the utility of the tools under development...This book is well written and well produced, with excellent figures and graphics..." William Eichinger, Optics and Photonics News
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×Product details
- Date Published: June 1996
- format: Paperback
- isbn: 9780521576765
- length: 266 pages
- dimensions: 229 x 152 x 15 mm
- weight: 0.36kg
- contains: 105 b/w illus. 3 tables
- availability: Available
Table of Contents
1. Introduction P. Aston
2. Global dynamics of driven oscillators J. M. T. Thompson
3. Global perturbation methods, orbits homoclinic to resonances, and applications S. Wiggins
4. Nonlinear elasticity and materials science: a survey of recent developments J. M. Ball
5. Ladder methods for the 2 and 3-dimensional incompressible Navier-Stokes equations J. D. Gibbon
6. Nonlinear mathematics in practice: steady bifurcation phenomena, low dimensional dynamics and chaos T. Mullin
7. Weak and strong nonlinearity in boundary layer transition F. T. Smith
8. Instability of waves T. J. Bridges
9. Grazing bifurcations in discontinuous dynamical systems C. J. Budd
10. Tumour growth and angiogenesis: a case study in mathematical biology B. D. Sleeman.
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