Blast Into Math!
by Julie Rowlett
Publisher: BookBoon 2013
Number of pages: 215
Blast into Math! A fun and rigorous introduction to pure mathematics, is suitable for both students and a general audience interested in learning what pure mathematics is all about. Pure mathematics is presented in a friendly, accessible, and nonetheless rigorous style.
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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 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.
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 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.