This is a reprint of one of the standard basic college textbooks in Calculus and Analytic Geometry. It is here divided into two volumes. The first volume starts slowly, explaining basic concepts from algebra and geometry including lines, slopes, and curves. The second volume, which starts with Chapter X, reaches integration, differentiation, partial differentiation, Taylor's Series and the really hard stuff. There will be a few advanced students who may be able to skip the first volume entirely and start directly with Volume Two. Thus, in one two volume work, everything about Calculus is covered. Learn everything in this book, and you will not need to study calculus any more. In addition, Volume One could be used as an advanced high school textbook, as it starts with middle level algebra, geometry and trigonometry.

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Angus Ellis Taylor (October 13, 1911 - April 6, 1999) was a mathematician and professor at various universities in the University of California system. He earned his undergraduate degree at Harvard summa cum laude in 1933 and his PhD at Caltech in 1936 under Aristotle Michal with a dissertation on analytic functions. By 1944 he had risen to full professor at UCLA, whose mathematics department he would later chair (1958-1964). Taylor was also an astute administrator and would eventually rise through the UC system to become provost and then chancellor of UC Santa Cruz. He authored a number of mathematical texts which would be a standard for a generation of mathematics students.

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