Surreal Numbers: An Introduction
by Claus Tondering
Number of pages: 50
This text will provide the readers with a free and accessible introduction to a very fascinating subject in pure mathematics. 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.
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by Stephen G. Simpson - Pennsylvania State University
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, etc.
by John Wesley Young - 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.
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.
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.