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 Cargill Gilston Knott - Chambers
The aim has been to illustrate the use of mathematics in constructing diagrams; in measuring areas, volumes, strengths of materials ; in calculating latitudes and longitudes on the earth's surface ; and in solving similar problems.
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 A. N. Whitehead - Williams & Northgate
This distinguished book is an introduction to a series of mathematical concepts, a history of their development, and a concise summary of how today's reader may use them. An expertly written book by a brilliant man, filled with valuable insights.
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).