Introduction to symplectic topology
by McDuff, Dusa, Salamon, Dietmar
fromOxford mathematical monographs
With firm foundations dating only from the 1950s, algebraic topology is a relatively young area of mathematics. There are very few textbooks that treat fundamental topics beyond a first course, and many topics now essential to the field are not treated in any textbook. J. Peter …
'Beyond geometry' describes how set-theoretic topology developed and why it now occupies a central place in mathematics
This text brings together 20 essays on diverse topics in the history and science of knots. It is divided into five parts, which deal respectively with knots in prehistory and antiquity, non-European traditions, working knots, the developing science of knots, and decorative and o…
"This book presents a modern, category-theory-based approach to topology to supplement the more traditional algebraic topology graduate course"--
"This volume is intended for graduate and research students in mathematics and physics. It covers general topology, nonlinear co-ordinate systems, theory of smooth manifolds, theory of curves and surfaces, transformation groups, tensor analysis and Riemannian geometry, theory of…