000			nam a22 4500
999			_c33090 _d33090
008			240319b xxu||||| |||| 00| 0 eng d
020			_a9783319529554
082			_a515.8 _bSMO
100			_aSmorynski, Craig
245			_aMVT : a most valuable theorem
260			_bSpringer, _c2017 _aCham :
300			_ax, 499 p. ; _bill., _c23 cm.
365			_b109.99 _c€ _d93.50
504			_aIncludes bibliographical references and index.
520			_aThis book is about the rise and supposed fall of the mean value theorem. It discusses the evolution of the theorem and the concepts behind it, how the theorem relates to other fundamental results in calculus, and modern re-evaluations of its role in the standard calculus course. The mean value theorem is one of the central results of calculus. It was called "the fundamental theorem of the differential calculus" because of its power to provide simple and rigorous proofs of basic results encountered in a first-year course in calculus. In mathematical terms, the book is a thorough treatment of this theorem and some related results in the field; in historical terms, it is not a history of calculus or mathematics, but a case study in both. MVT: A Most Valuable Theorem is aimed at those who teach calculus, especially those setting out to do so for the first time. It is also accessible to anyone who has finished the first semester of the standard course in the subject and will be of interest to undergraduate mathematics majors as well as graduate students. Unlike other books, the present monograph treats the mathematical and historical aspects in equal measure, providing detailed and rigorous proofs of the mathematical results and even including original source material presenting the flavour of the history.
650			_aHistory of mathematics
650			_aCalculus
650			_aMathematics analysis
942			_2ddc _cBK