**Foundations of Mathematics**

by Stephen G. Simpson

**Publisher**: Pennsylvania State University 2008**Number of pages**: 123

**Description**:

These are lecture notes for an introductory graduate-level course in foundations of mathematics. The topics covered are: computability, unsolvable problems, undecidability of the natural number system, decidability of the real number system, informal set theory, axiomatic set theory. This course is suitable for all mathematics graduate students.

Download or read it online for free here:

**Download link**

(750KB, PDF)

## Similar books

**Super Special Codes using Super Matrices**

by

**W.B.V. Kandasamy, F. Smarandache, K.Ilanthenral**-

**arXiv**

Basic properties of codes and super matrices are given. New type of super special vector space is constructed. Three new classes of super special codes namely, super special row code, super special column code and super special codes are introduced.

(

**7416**views)

**Blast Into Math!**

by

**Julie Rowlett**-

**BookBoon**

This is a fun and rigorous introduction to pure mathematics, suitable for both students and a general audience interested in learning what pure mathematics is all about. Presented in a friendly, accessible, and nonetheless rigorous style.

(

**7533**views)

**Surreal Numbers: An Introduction**

by

**Claus Tondering**

This text will provide the readers with a free and accessible introduction to a very fascinating subject. The author is not a mathematician by profession, the book shows that pure mathematics is not that complicated once you get down to the rules.

(

**9247**views)

**Practical Foundations of Mathematics**

by

**Paul Taylor**-

**Cambridge University Press**

It explains the basis of mathematical reasoning both in pure mathematics itself and in computer science. In addition to the formal logic, this volume examines the relationship between computer languages and plain English mathematical proofs.

(

**15761**views)