**Math That Makes You Go Wow**

by M. Boittin, E. Callahan, D. Goldberg, J. Remes

**Publisher**: Ohio State University 1998

**Description**:

This is an innovative project by a group of Yale undergraduates: A Multi-Disciplinary Exploration of Non-Orientable Surfaces. The course is designed to be included as a short segment in a late middle school or early high school math course.

Download or read it online for free here:

**Read online**

(online reading)

## Similar books

**The Geometry and Topology of Braid Groups**

by

**Jenny Wilson**-

**University of Michigan**

Contents: Five definitions of the braid group; The topology of Fn(C); The integral cohomology of the pure braid group; Generalizations of PBn and their cohomology; Transfer and twisted coefficients; Stability in the cohomology of braid groups; etc.

(

**4651**views)

**Lectures on Polyhedral Topology**

by

**John R. Stallings**-

**Tata Institute of Fundamental Research**

These notes contain: The elementary theory of finite polyhedra in real vector spaces; A theory of 'general position' (approximation of maps), based on 'non-degeneracy'. A theory of 'regular neighbourhoods' in arbitrary polyhedra; etc.

(

**9383**views)

**Geometric Topology: Localization, Periodicity and Galois Symmetry**

by

**Dennis Sullivan**-

**Springer**

In 1970, Sullivan circulated this set of notes introducing localization and completion of topological spaces to homotopy theory, and other important concepts. The notes remain worth reading for the fresh picture they provide for geometric topology.

(

**10114**views)

**Notes on Basic 3-Manifold Topology**

by

**Allen Hatcher**

These pages are really just an early draft of the initial chapters of a real book on 3-manifolds. The text does contain a few things that aren't readily available elsewhere, like the Jaco-Shalen/Johannson torus decomposition theorem.

(

**10323**views)