An Invitation to Mathematics
by Arnold Dresden
Publisher: H. Holt and Company 1936
Number of pages: 453
Mankind may be in a better position to deal with the baffling problems which confront it in the modern world if an understanding of mathematics were the rule rather than the exception. The author's aim is to give a reader who has but little knowledge of the technique of mathematics, an insight into the character of at least some of the important questions with which mathematics is concerned, to acquaint him with some of its methods, to lead him to recognize its intimate relation to human experience and to bring him to an appreciation of its unique beauty.
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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 W W L Chen, X T Duong - Macquarie University
Basic algebra, matrices, trigonometry, indices and logarithms, polynomial equations, inequalities and absolute values, progressions, counting techniques, complex numbers, functions and lines, introduction to differentiation and integration.
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 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).