Cartan Calculus on Smooth Manifolds and Geometric Newtonian Mechanics | SEMF Summer School 2019

COURSE ABSTRACT
In this course we present the basics of differentiable manifold theory as an extension of multivariable calculus from first courses of Mathematics and Physics degrees. A review of linear and multilinear algebra will be addressed and basic notions of intrisinc calculus will be introudced: functions and curves, tensor fields, intrinsic derivation, metric structures, symplectic structures, volume structures, etc.

COURSE MATERIALS

CARLOS ZAPATA CARRATALÁ
Degree in Physics (Universidad de Valencia)
Masters Degree in Mathematics (University of Cambridge)
PhD in Mathematical Physics (University of Edinburgh)
Lecturer in University of Edinburgh

SEMF NETWORKS