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This little book is especially concerned with those portions of advanced calculus in which the subtlety of the concepts and methods makes rigor difficult to attain at an elementary level. The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain...

Spivak's celebrated textbook is widely held as one of the finest introductions to mathematical analysis. His aim is to present calculus as the first real encounter with mathematics: it is the place to learn how logical reasoning combined with fundamental concepts can be developed into a rigorous mathematical theory rather than a bunch of tools and techniques learned by rote. Since analysis is a subject students traditionally find difficult to grasp, Spivak provides leisurely explanations, a profusion of examples, a wide range of exercises and plenty of illustrations in an easy-going approach...

The Hitchhiker's Guide to Calculus begins with a rapid view of lines and slope. Spivak then takes up non-linear functions and trigonometric functions. He places the magnifying glass on curves in the next chapter and effortlessly leads the reader to the idea of derivative. In the next chapter he tackles speed and velocity, followed by the derivative of sine. Maxima and minima are next. Rolle's theorem and the MVT form the core of Chapter 11, ""Watching Experts at Play."" The Hitchhiker's Guide to Calculus closes with a chapter on the integral, the fundamental theorem, and applications of the...

Heartland Tobacco War chronicles the political and public relations battles between health advocates and forces supported by the tobacco industry in Oklahoma from the 1980s to the present. Michael S. Givel and Andrew L. Spivak draw on previously-suppressed tobacco insider documents and first-hand interviews with key players in the conflict. This story of pro- and anti-tobacco lobbying and legislation in the nation's heartland especially highlights the unique role of Oklahoma's "renegade" Department of Health Commissioner, Dr. Leslie Bietsch. After decades of political dominance by the tobacco...