Smirnov higher mathematics3/17/2024 ![]() ![]() Geometrical significance of the derivative. Derivatives and differentials of the first order 101 45. Exercises 94 chapter ii DIFFERENTIATION: THEORY AND APPLICATIONS S 3. Comparison of infinitesimals and of infinitely large magnitudes. The proper- properties of continuous functions. Simul- Simultaneous variation of two variables, connected by a functional rela- relationship. Cauchy's test for the existence of a limit. Inverse trigono- trigonometric, or circular, functions. Exponential and loga- logarithmic functions. The graphical method of represent- representing numbers. The analytic method of representing functional relationships. Smirnov's book Kypc eucuieu MarneMamuKU (Kurs vysshei matematiki), published in 1957 by Fizmatgiz, Moscow MADE IN GREAT BRITAIN CONTENTS INTRODUCTION XI Prefaces to Eighth and Sixteenth Russian Editions xiii chapter 1 FUNCTIONAL RELATIONSHIPS AND THE THEORY OF LIMITS § 1. 63-10134 This translation has been made from the Sixteenth (revised) Russian Edition of V. London PERGAMON PRESS International Series of Monographs in PURE AND APPLIED MATHEMATICS Volume 57 Library of Congress Catalog Card No.Edition distributed by ADDISON-WESLEY PUBLISHING COMPANY, INC. READING, MASSACHUSETTS Ĭopyright © 1964 PERGAMON PRESS LTD. FRANKFURT ADDISON-WESLEY PUBLISHING COMPANY, INC.SNEDDON Simson Professor in Mathematics University of Glasgoiv PERGAMON PRESS OXFORD BROWN Translation edited and additions made by I. 1 ¦» * 1 in mathematics Higher Matnematics A. A COURSE OF ADIWES INTERNATIONAL SERIES TT. ![]()
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