Flatland: A Romance of Many Dimensions
by Edwin A. Abbot
Publisher: Seeley and Co. 1884
Number of pages: 120
The book represents a couple of accessible and charming explanations of geometry and physics for the curious non-mathematician. Flatland was published in 1880 and imagines a two-dimensional world inhabited by sentient geometric shapes who think their planar world is all there is. But one Flatlander, a Square, discovers the existence of a third dimension and the limits of his world's assumptions about reality and comes to understand the confusing problem of higher dimensions.
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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 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.
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.