Vestnik On-line
Orenburg State University november 28, 2021   RU/EN
Headings of Vestnik
Pedagogics
Psychology
Other

Search
Vak
Антиплагиат
Orcid
Viniti
ЭБС Лань
Rsl
Лицензия Creative Commons

2010, № 9



Zubova I.K., Rassokha E.N. APPROACHES TO THE DETERMINATION OF CONVEXITY AND CONCAVITY OF PLOTTED FUNCTION.The authors examined three determinations of the concept of convexity and concavity of plotted function with help of the method of tangents, chords and analytical method. The historical conditions for their formation are shown from the position of the development of differential calculus. The diagram of the account of this theme is offered to the students of physico-mathematical specialties.Key words: the convexity (concavity) of plotted function; the continuity of function; the differentiability of function; tangential straight line; secant straight line; chord.

Download
References:

1. Arkhipov G.I. Lectures on mathematical analysis: textbook for institutions of higher education / G.I. Arkhipov, V.A. Sadovnichiy, V.N. Chubarikov; ed. V.A. Sadovnichiy. — M.: Drofa, 2004. — 640 р. — ISBN 5-7107-8900-3..

2. Gleizer G.I. History of mathematics at school. IX-X classes. — M: "Prosveshchenie", 1983. — 351 р.

3. Gusak A.A. Higher mathematics. In 2 vol. V. 1.: textbook for students of institutions of higher education / A.A. Gusak. — Mn.: TetraSistems, 2001. — 448 р. — ISBN 985-6577-33-0 (V.1).

4. Nasibov M.Kh. About presentation of determination of the concepts of function convexity and concavity / M.Kh. Nasibov // Collection of scientific-methodological articles of mathematics. Issue 16. — M.: Publishing house MPI, 1989. — Р. 112-116.

5. Rybnikov K.A. History of mathematics: teaching aid for universities / K.A. Rybnikov. — M.: Publishing house of MSU, 1994. — 456 р.

6. Rybnikov K.A. Origin and development of mathematical science: book for teachers / K.A. Rybnikov. — M.: Prosveshchenie, 1987. — 159 р.

7. Fikhtengolts G.M. Course of differential and integral calculus: teaching aid for universities and teacher’s training institutes: in 3 vol. / G.M. Fikhtengolts. — M.: Nauka, 1969. –V. 1. — 608 с..


About this article

Authors: Rassoha E.N., Zubova I.K.

Year: 2010


Editor-in-chief
Sergey Aleksandrovich
MIROSHNIKOV

Crossref
Cyberleninka
Doi
Europeanlibrary
Googleacademy
scienceindex
worldcat
© Электронное периодическое издание: ВЕСТНИК ОГУ on-line (VESTNIK OSU on-line), ISSN on-line 1814-6465
Зарегистрировано в Федеральной службе по надзору в сфере связи, информационных технологий и массовых коммуникаций
Свидетельство о регистрации СМИ: Эл № ФС77-37678 от 29 сентября 2009 г.
Учредитель: Оренбургский государственный университет (ОГУ)
Главный редактор: С.А. Мирошников
Адрес редакции: 460018, г. Оренбург, проспект Победы, д. 13, к. 2335
Тел./факс: (3532)37-27-78 E-mail: vestnik@mail.osu.ru
1999–2021 © CIT OSU