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 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 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 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.