LEADER 00000nam a2200457 i 4500
001 978-3-319-52956-1
003 DE-He213
005 20170407153358.0
006 m o d
007 cr nn 008maaau
008 170407s2017 gw s 0 eng d
020 9783319529561|q(electronic bk.)
020 9783319529554|q(paper)
024 7 10.1007/978-3-319-52956-1|2doi
040 GP|cGP|erda|dAS
041 0 eng
050 4 QA303.2
082 04 515.33|223
100 1 Smorynski, Craig,|eauthor
245 10 MVT :|ba most valuable theorem /|cby Craig Smorynski
246 3 Mean Value Theorem
264 1 Cham :|bSpringer International Publishing :|bImprint:
Springer,|c2017
300 1 online resource (x, 499 pages) :|billustrations, digital
;|c24 cm
336 text|btxt|2rdacontent
337 computer|bc|2rdamedia
338 online resource|bcr|2rdacarrier
347 text file|bPDF|2rda
505 0 Introduction -- Curves and Tangents -- The Mean Value
Theorem -- Calculus Reform
520 This 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 0 Mean value theorems (Calculus)
650 14 Mathematics
650 24 Real Functions
650 24 History of Mathematical Sciences
710 2 SpringerLink (Online service)
773 0 |tSpringer eBooks
856 40 |uhttp://dx.doi.org/10.1007/978-3-319-52956-1
|zeBook(Springerlink)