||Nonlinear Science; Emergence and Dynamics of Coherent Structures, 2nd ed.,
Alwyn Scott, Oxford University Press (2003), price $69.50,
This text forms an excellent introduction to solitons and waves,
reaction-diffusion systems, and lattice dynamics. The material is
integrated very well with applications, with a particular focus on
mathematical biology and neuroscience. The text is designed for a
graduate-level course; the writing is clear, and the exercises are
copious and informative.
||Mathematical Theory of Nonequilibrium Steady States: On the Frontier of Probability and Dynamical Systems
Da-Quan Jiang, Min Qian, and Min-Ping Qian, Springer Lecture Notes in Mathematics 1833, (2004), price $59.95,
This text covers nonequilibrium statistical physics from the
perspective of dynamical systems theory, with a focus on entropy
production. For diffusion processes on manifolds, there is a
detailed connection between entropy production and rotation numbers.
Axiom A systems are also treated in depth.
||New Difference Schemes for Partial Differential Equations
Allaberen Ashyralyev and Pavel Sobolevskii, Birkhauser (2004), price $199.00,
This monograph covers high-accuracy difference schemes for regular
and singular perturbation boundary value problems in PDEs. Both
Cauchy and boundary value problems are covered in detail. The text
is quite `hard' in the sense of being liberal in its use of