**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

**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.

(

**18069**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.

(

**8920**views)

**Set Theory**

by

**Gary Hardegree**-

**UMass Amherst**

From the table of contents: Basic material on set theory - Overview / Summary, Basic Concepts, Relations, Functions, Natural Numbers, Cardinal Numbers; Rules for Derivations; Formal Languages; Mathematical Induction; Brief History of Numeration.

(

**13141**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.

(

**10711**views)