Shadows of the Truth: Metamathematics of Elementary Mathematics
by Alexandre Borovik
Publisher: American Mathematical Society 2010
Number of pages: 293
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).
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by Frank Castle - Macmillan and co
From the table of contents: Arithmetic; Plane Geometry; Algebra; British and Metric Units; Logarithms; Slide Rule; Ratios; Use of Squared Paper; Mensuration. Area of Parallelogram. Triangle. Circumference of Circle. Area of a Circle; etc.
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 Lewis Carroll - Macmillan and co
Here you see Carroll the mathematician at his playful best. This isn't about modern symbolic logic but about ways of expressing classical logic with symbols. It's loaded with amusing problems to delight any mathematical puzzler.
by Philipp Legner - Mathigon
The book showcases how fascinating mathematics can be, by explaining some of the most interesting mathematical ideas to children and the general public. Diagrams, videos, slideshows, problems and interactive games let the content come to life.