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
Surreal Numbers: An Introductionby 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.
(15797 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.
(14990 views)
Practical Foundations of Mathematicsby 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.
(24605 views)
Super Special Codes using Super Matricesby 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.
(14033 views)