Shadows of the Truth: Metamathematics of Elementary Mathematics
by Alexandre Borovik
Publisher: American Mathematical Society 2010
Number of pages: 293
Metamathematics of elementary mathematics. This book can be viewed as a sequel to Mathematics under the Microscope, but with focus shifted on mathematics as it was experienced by children (well, by children who became mathematicians).
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by A.M. Bruckner, B.S. Thomson, J.B. Bruckner - ClassicalRealAnalysis.com
This text is intended for a course introducing the idea of mathematical discovery, especially to students who may not be particularly enthused about mathematics as yet. The students could actually participate in the discovery of mathematics.
by Lewis Carroll - Macmillan and co
Here you see Carroll the mathematician at his playful best. This isn't about modern symbolic logic but about ways of expressing classical logic with symbols. It's loaded with amusing problems to delight any mathematical puzzler.
by Christopher Cooper - Macquarie University
This book will take you on a journey to the extreme regions, just before the point where logic breaks down. It discusses the impossible, the infinite, the unimaginable, the uncomputable and the undecidable. Our motivation will be that of an explorer.
by William F. White - The Open Court Publishing Company
The tendency to select the problems and illustrations of mathematics mostly from the scientific and commercial activities of today, is one with which the writer is in accord. Moreover, amusement is one of the fields of applied mathematics.