Borasoy [14] has shown that [eta]' can also be included in baryon chiral

perturbation theory in a systematic way.

They write for graduate students of applied mathematics, physics, and engineering and for bold undergraduates with a knowledge of partial differential equations,

perturbation theory, and elementary physics.

Some topics have been omitted and placed on the web site; others, such as the Wigner quasi-probability distribution, time- dependent

perturbation theory, and timescales in bound state systems, are new.

They describe geometric, algebraic, topological and analytic properties of invariant subspaces that serve as foundations for linear systems theory and include a treatment of analytic

perturbation theory for matrix functions.

of Geneva) covers Lorentz and Poincare symmetries in quantum field theory, classical field theory, quantization of free fields,

perturbation theory and Feynman diagrams, cross-section and decay rates, quantum electrodynamics, the low-energy limit of the electroweak theory, path integral quantization, non- abelian gauge theories, and spontaneous symmetry breaking.

Algebraic analysis of singular

perturbation theory.

The papers include such topics as: Lie group integrators, geometric integrators, and exponential integrators; symbolic computation and solutions of ordinary differential equations, partial differential equations and differential-difference equations; symmetry preserving discretization of ordinary and partial differential equations; discrete and finite Fourier transforms and data processing; boundary layer

perturbation theory and its symmetry respecting discretization; discrete symmetries of difference and differential difference equations; numerical methods for treating rapid oscillations; orthogonal polynomials related to Pade approximations; and applications in biophysics and physics.