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 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.
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 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.
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.