**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

**Axiomatic Set Theory**

by

**Michael Meyling**

This document contains the mathematical foundation of set theory. Goal is the presentation of elementary results which are needed in other disciplines. Although the presentation is axiomatic the results shall match the mathematical usage.

(

**5818**views)

**Axiomatic Set Theory I**

by

**A. C. Walczak-Typke**

From the table of contents: Learning to Speak; The Axioms of Set Theory; Orders and Ordinals; Cardinal Numbers; The Axiom of Regularity; Some Consistency Results; Goedel's Constructible Universe L; Independence of AC from ZFU; Forcing.

(

**5183**views)

**Notes on Set Theory**

by

**Michael Makkai**-

**McGill University**

Contents: Sets and classes; The universe of pure sets; Further principles of set-construction; Natural numbers and ordinals; Well-founded Relations and recursion; Indexing by ordinals and the axiom of choice; Well-orderings; Zorn's lema; etc.

(

**8712**views)

**Descriptive Set Theory**

by

**Yiannis N. Moschovakis**-

**American Mathematical Society**

This monograph develops Descriptive Set Theory from its classical roots to the modern 'effective' theory. The book emphasizes the foundations of the subject, and it sets the stage for the dramatic results established since the 1980s.

(

**9251**views)