Edited by
Demeter Krupka, Palacky University, Department of Algebra and Geometry, Olomouc, Czech Republic
David Saunders, Visiting professor, Palacky University, Olomouc, Czech Republic
Description
This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis”, dealing
with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers
embarking on advanced studies in mathematics and mathematical physics.
This book provides a comprehensive coverage of modern global
analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and
global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential
systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds;
jets, natural bundles and generalizations; and non-commutative geometry.
Audience:
This book is suitable for university mathematics departments, libraries and students in mathematics and mathematical physics.
