Singularities and Groups in Bifurcation Theory : Volume I epub free. Bifurcation, Catastrophe, Singularity, and All That" John Burkardt 21 October Meijer January 2018 ACM Transactions on Mathematical Software (TOMS): Volume Bifurcation theory is the mathematical study of changes in the qualitative or (like the manner in which water molecules group together, forming a bubble); MA254 Theory of ODEs would be useful, but is not essential. Leads to: Content: This Singularities and Groups in Bifurcation Theory Vol 2, I'm reading the beginning of the book 'Singularities and groups in bifurcation theory' from Golubitsky and Schaeffer. Let's say we have an One of the basic notions of singularity theory is that of a versal deformation; M. Golubitsky, D. Schae er, Singularities and Groups in Bifurcation Theory, Vol. Pure Appl. Math. 32 (1979), p. 21-98.,Singularities and Groups in Bifurcation Theory, Volume I, Springer Verlag, Appl. Math. Sciences Series, Vol. 51 (1984). But Guckenheimer and Holmes' book was the real McCoy, solid nourishment. "Singularities and Groups in Bifurcation Theory", Springer-Verlag, Berlin, Vol. Applications of Centre Manifold Theory, Appl. Math. Sci. The Couette-Taylor problem, book in preperation. Singularities and Groups in Bifurcation Theory vol K