東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

MVT = a most valuable theorem /

Smorynski, Craig.

FindBook

Google Book

Amazon

博客來

MVT = a most valuable theorem /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	MVT/ by Craig Smorynski.
其他題名:	a most valuable theorem /
其他題名:	Mean Value Theorem
作者:	Smorynski, Craig.
出版者:	Cham :Springer International Publishing : : 2017.,
面頁冊數:	x, 499 p. :ill., digital ;24 cm.
內容註:	Introduction -- Curves and Tangents -- The Mean Value Theorem -- Calculus Reform.
Contained By:	Springer eBooks
標題:	Mean value theorems (Calculus) -
電子資源:	http://dx.doi.org/10.1007/978-3-319-52956-1
ISBN:	9783319529561

MVT = a most valuable theorem /
Smorynski, Craig.

MVTa most valuable theorem /[electronic resource] :Mean Value Theoremby Craig Smorynski. - Cham :Springer International Publishing :2017. - x, 499 p. :ill., digital ;24 cm.

Introduction -- Curves and Tangents -- The Mean Value Theorem -- Calculus Reform.

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.

ISBN: 9783319529561

Standard No.: 10.1007/978-3-319-52956-1doiSubjects--Topical Terms:

3236697
Mean value theorems (Calculus)

LC Class. No.: QA303.2

Dewey Class. No.: 515.33

MVT = a most valuable theorem /
LDR:02384nmm a2200337 a 4500 001 2097685
003 DE-He213
005 20170407153358.0
006 m d
007 cr nn 008maaau
008 171229s2017 gw s 0 eng d
020 $a 9783319529561 $q (electronic bk.)
020 $a 9783319529554 $q (paper)
024 7 $a 10.1007/978-3-319-52956-1 $2 doi
035 $a 978-3-319-52956-1
040 $a GP $c GP
041 0 $a eng
050 4 $a QA303.2
072 7 $a PBKB $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a MAT037000 $2 bisacsh
082 0 4 $a 515.33 $2 23
090 $a QA303.2 $b .S666 2017
100 1 $a Smorynski, Craig. $3 899765
245 1 0 $a MVT $h [electronic resource] : $b a most valuable theorem / $c by Craig Smorynski.
246 3 $a Mean Value Theorem
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a x, 499 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- Curves and Tangents -- The Mean Value Theorem -- Calculus Reform.
520 $a 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 $a Mean value theorems (Calculus) $3 3236697
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Real Functions. $3 891265
650 2 4 $a History of Mathematical Sciences. $3 1530523
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-52956-1
950 $a Mathematics and Statistics (Springer-11649)