000			a
999			_c32403 _d32403
008			230825b xxu||||| |||| 00| 0 eng d
020			_a9780300242799
082			_a515.15 _bKAT
100			_aKatz, Nets Hawk
245			_aCalculus for cranks
260			_bYale University Press, _c2021 _aNew Haven :
300			_ax, 251 p. ; _bill., _c24 cm
365			_b30.00 _cUSD _d85.40
504			_aIncludes bibliographical references and index.
520			_aA new approach to the foundations of single variable calculus, based on the introductory course taught at Caltech. In mathematics, "cranks" are people who insist they understand something new about math even when the world tells them they are doing it wrong. This introduction to calculus is written with those cranks in mind, based on the foundational course that Nets Katz teaches at Caltech. It emphasizes the practical purposes of the foundations--for example, for tracking errors in calculations. In addition to covering the basics of single variable calculus, the book outlines the mathematical method--the ability to express oneself with absolute precision and then to use logical proofs to establish that certain statements are universally true. Katz emphasizes conceptual clarity as well as testing hypotheses and writing complete proofs. The result is a rigorous calculus book of use not only to future mathematicians but also to scientists and engineers.
650			_aBorel's theorem
650			_a Cauchy's theorem
650			_aExtreme value theorem
650			_aHolder inequality
650			_aIncreasing function
650			_a Integral rule
650			_a Least upper bound
650			_a Mean value theorem
650			_aNewton's method
650			_aPower series
650			_aRadius of convergence
650			_aReal numbers
650			_aRoll's theorem
650			_aSimpson's rule
650			_aTaylor theorem
942			_2ddc _cBK