Mathematics for Foreign Students: Limits and Derivatives (190,00 руб.)

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UDC 51(075) Published by the decision of the Editorial Review Board of the Kazan National Research Technological University Reviewers: PhD in Physics and Mathematics, Associate Professor Z. Yakupov PhD in Physics and Mathematics, Associate Professor D. Shevchenko Authors: D. Bikmukhametova, N. Gazizova, S. Enikeeva, A. Mindubaeva, N. Nikonova, D. Giliazova Bikmukhametova D. Mathematics for Foreign Students: Limits and Derivatives : tutorial / D. Bikmukhametova, N. Gazizova, S. Enikeeva [et. al.]; The Ministry of Education and Science of the Russian Federation, Kazan National Research Technological University. – Kazan : KNRTU Press, 2022. – 116 p. ISBN 978-5-7882-3155-6 The tutorial contains theoretical information on and encompasses the applied problems of how to introduce a calculus or differential calculus. The tutorial is intended for students studying Mathematics and Calculus. Prepared at the Department of Advanced Mathematics. UDC 51(075) ISBN 978-5-7882-3155-6 © D. Bikmukhametova, N. Gazizova, S. Enikeeva, A. Mindubaeva, N. Nikonova, D. Giliazova, 2022 © Kazan National Research Technological University, 2022 2

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CONTENTS INTRODUCTION ........................................................................................... 3 NUMERICAL SEQUENCES ............................................................................. 4 LIMITS .......................................................................................................... 6 DERIVATIVE ................................................................................................ 31 RESEARCH FUNCTIONS AND GRAPHIC CONSTRUCTION ........................... 67 FUNCTIONS OF SEVERAL VARIABLES ......................................................... 86 REFERENCES ............................................................................................. 113 114

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