The Nature of Mathematics
by Philip E. B. Jourdain
Publisher: T. C. & E. C. Jack 1919
Number of pages: 136
There is no real reason why, with patience, an ordinary person should not understand, speaking broadly, what mathematicians do, why they do it, and what, so far as we know at present, mathematics is. The purpose of this little volume is not to give like a textbook a collection of mathematical methods and examples, but to do, firstly, what textbooks do not do: to show how and why these methods grew up.
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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).
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 Arnold Dresden - H. Holt and Company
The author's aim is to give a reader an insight into the character of the important questions with which mathematics is concerned, to acquaint him with some of its methods, and to lead him to recognize its intimate relation to human experience.
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.