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 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 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 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 Robert Ballard - John Wiley & Sons Ltd.
With the firm conviction that the Pyramids of Egypt were built and employed for one special and important purpose of the greatest utility, I find it necessary to endeavor to determine the proportions and measures of one of the principal groups.