Mathematical Omnibus: Thirty Lectures on Classic Mathematics
by Dmitry Fuchs, Sergei Tabachnikov
Publisher: American Mathematical Society 2007
Number of pages: 465
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: the majority of results are proved, and it will take a considerable effort from the reader to follow the details of the arguments. By this book we hope to make a modest contribution to the continuation of the mathematical culture.
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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 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 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).
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.