This comprehensive monograph provides a self-contained treatment of the theory of I*-measure, or Sullivan's rational homotopy theory, from a constructive point of view. It centers on the notion of calculability which is due to the author himself, as are the measure-theoretical a…
This book acquaints readers with recent developments in dynamical systems theory and its applications, with a strong focus on the control and estimation of nonlinear systems. Several algorithms are proposed and worked out for a set of model systems, in particular so-called input…
Algebraic aspects of Darboux transformations, quantum integrable systems and supersymmetric quantum mechanics: Jairo Charris Seminar 2010, Universidad Sergio Ar…
by Acosta Humanez, Primitivo B., Jairo Charris Seminar, Universidad Sergio Arboleda)
fromContemporary mathematics (American Mathematical Society)
This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initi…
Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain …
