Manifolds and Differential Forms
by Reyer Sjamaar
Publisher: Cornell University 2017
Number of pages: 171
Description:
The course covers manifolds and differential forms for an audience of undergraduates who have taken a typical calculus sequence at a North American university, including basic linear algebra and multivariable calculus up to the integral theorems of Green, Gauss and Stokes.
Download or read it online for free here:
Download link
(2.7MB, PDF)
Similar books
Floer Homology, Gauge Theory, and Low Dimensional Topologyby David Ellwood, at al. - American Mathematical Society
Mathematical gauge theory studies connections on principal bundles. The book provides an introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds.
(9112 views)
Optimization Algorithms on Matrix Manifoldsby P.-A. Absil, R. Mahony, R. Sepulchre - Princeton University Press
Many science and engineering problems can be rephrased as optimization problems on matrix search spaces endowed with a manifold structure. This book shows how to exploit the structure of such problems to develop efficient numerical algorithms.
(12961 views)
Topology and Physics: A Historical Essayby C. Nash - arXiv
In this essay we wish to embark on the telling of a story which, almost certainly, stands only at its beginning. We shall discuss the links and the interaction between one very old subject, physics, and a much newer one, topology.
(9885 views)
Lecture Notes on Seiberg-Witten Invariantsby John Douglas Moore - Springer
A streamlined introduction to the theory of Seiberg-Witten invariants suitable for second-year graduate students. These invariants can be used to prove that there are many compact topological four-manifolds which have more than one smooth structure.
(6614 views)