**Sets, Groups and Knots**

by Curtis T. McMullen

**Publisher**: Harvard University 2008**Number of pages**: 56

**Description**:

Introduction to conceptual and axiomatic mathematics, the writing of proofs, mathematical culture, with sets, groups and knots as topics. From the table of contents: Introduction; Set Theory; Group Theory; Knot Theory; Summary.

Download or read it online for free here:

**Download link**

(330KB, PDF)

## Similar books

**Abstract Set Theory**

by

**Thoralf A. Skolem**-

**University of Notre Dame**

The book contains a series of lectures on abstract set theory given at the University of Notre Dame. After some historical remarks the chief ideas of the naive set theory are explained. Then the axiomatic theory of Zermelo-Fraenkel is developed.

(

**8150**views)

**An Introduction to Set Theory**

by

**William A. R. Weiss**-

**University of Toronto**

These notes for a graduate course in set theory cover the axioms of set theory, the natural numbers, the ordinal numbers, relations and orderings, cardinality, the real numbers, the universe, reflection, elementary submodels, and constructibility.

(

**14064**views)

**The Continuum and Other Types of Serial Order**

by

**Edward V. Huntington**-

**Dover Publications**

This classic of mathematics presents the best systematic elementary account of the modern theory of the continuum as a type of serial order. Based on the Dedekind-Cantor ordinal theory, it requires no knowledge of higher mathematics.

(

**6012**views)

**Descriptive Set Theory**

by

**David Marker**-

**University of Illinois at Chicago**

These are informal notes for a course in Descriptive Set Theory. While I hope to give a fairly broad survey of the subject we will be concentrating on problems about group actions, particularly those motivated by Vaught's conjecture.

(

**5072**views)