- Math 423 Course Notes October 18, 2003
- INVERSE FUNCTION THEOREM IMPLIES IMPLICIT FUNCTION EUGENE LERMAN
- I expect you to be familiar with the following topics: vectors, dot and cross product
- NONABELIAN CONVEXITY BY SYMPLECTIC CUTS EUGENE LERMAN, ECKHARD MEINRENKEN, SUE TOLMAN, AND CHRIS WOODWARD
- Fibre Bundles Chern-Weil Theory
- CONNECTIONS AND CURVATURE NOTES EUGENE LERMAN
- Symplectic cuts Eugene Lerman *y
- THE CENTRALIZER OF INVARIANT FUNCTIONS AND DIVISION PROPERTIES OF THE MOMENT
- MULTILINEAR ALGEBRA NOTES EUGENE LERMAN
- Notes on Lie Groups September 17, 2009
- Set 2 of problem bank questions, Math 425, Prof. Eugene Lerman ( Do not turn in. May show up on a midterm.)
- SYMPLECTIC GEOMETRY AND HAMILTONIAN SYSTEMS 1. Lecture 1. Introduction and basic definitions 2
- AN INTRODUCTION TO DIFFERENTIAL GEOMETRY EUGENE LERMAN
- 1 A crash course in point set topology In this handout we review elements of point set topology we'll need throughout the course. The
- Lecture 29 Differentiable Manifolds 10/28/2011 Last Time. We started discussing Stokes' theorem
- Lecture 25 Differentiable Manifolds 10/19/2011 Last Time. We defined orientations and a linear map M
- Lecture 22 Differentiable Manifolds 10/12/2011 Last Time. For a finite dimensional vector space V we constructed an associative graded algebra
- Lecture 24 Differentiable Manifolds 10/17/2011 (1) We "defined" differential forms
- Lecture 27 Differentiable Manifolds 10/24/2011 (1) Given a vector bundle E
- Lecture 23 Differentiable Manifolds 10/14/2011 Last Time. We constructed for every finite dimensional vector space V a non-degenerate bilinear pairing
- Lecture 19 Differentiable Manifolds 10/05/2011 Multilinear maps and tensors
- Lecture 21 Differentiable Manifolds 10/10/2011 Last Time. We defined the Grassmann (exterior) algebra
- Lecture 26 Differentiable Manifolds 10/21/2011 (1) Defined vector bundles E
- Lecture 28 Differentiable Manifolds 10/26/2011 (1) Given a vector bundle E M we've constructed the dual bundle E
- Lecture 20 Differentiable Manifolds 10/07/2011 Last Time. We proved (Corollary 19.8) that dim(V W) = dim(V )dim(W).
- Fibre Bundles Chern-Weil Theory
- CONNECTIONS AND CURVATURE NOTES EUGENE LERMAN
- Notes on Lie Groups Eugene Lerman
- MULTILINEAR ALGEBRA NOTES EUGENE LERMAN
- Review for first midterm, Math 416 E1, Prof. Lerman Monday, February 27, The first midterm will cover sections 1.11.7 and 2.12.7.