**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

**Exact Sequences in the Algebraic Theory of Surgery**

by

**Andrew Ranicki**-

**Princeton University Press**

One of the principal aims of surgery theory is to classify the homotopy types of manifolds using tools from algebra and topology. The algebraic approach is emphasized in this book, and it gives the reader a good overview of the subject.

(

**8628**views)

**Floer Homology, Gauge Theory, and Low Dimensional Topology**

by

**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.

(

**11716**views)

**Lecture Notes on Seiberg-Witten Invariants**

by

**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.

(

**8862**views)

**Noncommutative Localization in Algebra and Topology**

by

**Andrew Ranicki**-

**Cambridge University Press**

Noncommutative localization is a technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. The applications to topology are via the noncommutative localizations of the fundamental group rings.

(

**8087**views)