Problems in Mathematical Analysis
edited by B. P. Demidovich.
The list of authors is G. Baranenkov B. Demidovich, V. Efimenko, S. Kogan, G. Lunts, E. Porshneva,E. Sychera, S. Frolov, R. Shostak and A. Yanpolsky.
This collection of problems and exercises in mathematical analysis
covers the maximum requirements of general courses in higher
mathematics for higher technical schools. It contains over 3,000
problems sequentially arranged in Chapters I to X covering branches
of higher mathematics (with the exception of analytical geometry)
given in college courses. Particular attention is given to the most
important sections of the course that require established skills
(the finding of limits, differentiation techniques, the graphing of
functions, integration techniques, the applications all of definite
integrals, series, the solution of differential equations).
This collection of problems is the result of many years of teaching
higher mathematics in the technical schools of the Soviet Union. It
includes, in addition to original problems and examples, a large
number of commonly used problems.
This book was translated from the Russian by George Yankovsky. The
book was published by first Mir Publishers in 19??.
All credits to the original uploader.
PDF | OCR | 15.2 MB | Pages: 511 |
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Table of Contents
Preface 9
Chapter I
INTRODUCTION TO ANALYSIS 11
Chapter II
DIFFERENTIATION OF FUNCTIONS
Chapter III
THE EXTREMA OF A FUNCTION AND THE GEOMETRIC
APPLICATIONS OF A DERIVATIVE
Chapter IV
INDEFINITE INTEGRALS
Chapter V
DEFINITE INTEGRALS
Chapter VI.
FUNCTIONS OF SEVERAL VARIABLES
Chapter VII.
MULTIPLE AND LINE INTEGRALS
Chapter VIII.
SERIES
Chapter IX
DIFFERENTIAL EQUATIONS
Chapter X.
APPROXIMATE CALCULATIONS
ANSWERS 396
APPENDIX 475