Logo

Foundations of Mathematics by Stephen G. Simpson

Foundations of Mathematics
by

Publisher: Pennsylvania State University
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.

Home page url

Download or read it online for free here:
Download link
(750KB, PDF)

Similar books

Book cover: Blast Into Math!Blast Into Math!
by - 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.
(13664 views)
Book cover: Practical Foundations of MathematicsPractical Foundations of Mathematics
by - 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.
(23127 views)
Book cover: Lectures on Fundamental Concepts of Algebra and GeometryLectures on Fundamental Concepts of Algebra and Geometry
by - Macmillan and co.
The following lectures contain an elementary account of the logical foundations of algebra and geometry. Except in a very few instances, no knowledge of mathematics beyond the most elementary portions of algebra and geometry has been assumed.
(10410 views)
Book cover: Surreal Numbers: An IntroductionSurreal Numbers: An Introduction
by
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.
(14721 views)