In this high school textbook, the basic order and presentation of geometry as found in Euclid's foundational work, The Elements, is maintained. The student is introduced to the science of geometry through a rigorous study of the first six books of Euclid's work, a text of which Albert Einstein has said, We reverence ancient Greece as the cradle of western science. Here for the first time the world witnessed the miracle of a logical system which proceeded from step to step with such precision that every single one of its propositions was absolutely indubitable - I refer to Euclid's geometry....
In this high school textbook, the basic order and presentation of geometry as found in Euclid's foundational work, The Elements, is maintained. The st...
This high school text employs ideas discovered by classical mathematicians to consider topic in pre-calculus. The Real and Complex number systems are developed using the vector model and ideas originating in Descartes' geometry. Trigonometry is considered using ideas from Ptolemy and Copernicus. The properties of the conic sections are proven using theorems from Apollonius. Tangent functions for each of the conic sections are discovered as precursors to the derivative. Archimedes' quadrature of the parabola is studied as a precursor to the integral. Binomial expansion theorem and the various...
This high school text employs ideas discovered by classical mathematicians to consider topic in pre-calculus. The Real and Complex number systems are ...