by A.M. Bruckner, B.S. Thomson, J.B. Bruckner
Publisher: ClassicalRealAnalysis.com 2011
Number of pages: 267
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. We designed a course in which the students could actually participate in the discovery of mathematics.
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by Mary Everest Boole - C. W. Daniel
Contents: From Arithmetic To Algebra; The Making of Algebras; Simultaneous Problems; Partial Solutions, Elements of Complexity; Mathematical Certainty; The First Hebrew Algebra; How to Choose Our Hypotheses; The Limits of the Teacher's Function; etc.
by Lewis Carroll - MacMillan
This is a short text Carroll wrote to introduce children to logical reasoning, specifically set logic. The text does a good job of explaining basic logical theory in a way that children can understand. A great brain teaser for readers of all ages.
by Dmitry Fuchs, Sergei Tabachnikov - American Mathematical Society
This book will be of interest to anyone who likes mathematics, from high school students to accomplished researchers. We do not promise an easy ride: it will take a considerable effort from the reader to follow the details of the arguments.
by Alexandre Borovik - American Mathematical Society
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).