Maron - Problems In Calculus Of One Variable torrent

Problems in Calculus of One Variable (With Elements of Theory)
by Issac A. Maron

This textbook on mathematical analysis is based on many years'
experience of lecturing at a higher technical college. Its aim is to
train the students in active approach to mathematical exercises, as
is done at a seminar. Much attention is given to problems improving
the theoretical background. Therefore standard computational
exercises are supplemented by examples and problems explaining the
theory, promoting its deeper understanding and stimulating precise
mathematical thinking. Some counter examples explaining the need for
certain conditions in the formulation of basic theorems are also
included.

The book is designed along the following lines. Each section opens
with a concise theoretical introduction containing the principal
definitions, theorems and formulas. Then follows a detailed solution
of one or more typical problems. Finally, problems without solution
are given, which are similar to those solved but contain certain
peculiarities. Some of them are provided with hints.

These sections should prove of interest to the inquiring student,
and possibly also to lecturers in selecting material for classwork
or seminars.

This book was translated from the Russian by Leonid Levant. The book
was published by first Mir Publishers in 1973. The book is still in
print in Indian edition by CBSPD.

All credits to the original uploader.

DJVU | 4.2 MB | Pages: 453 | Cover | OCR

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Table of Contents
From the Author 9
Chapter I
Introduction to Mathematical Analysis 11

Chapter II
Differentiation of Functions 98

Chapter III
Application of Differential Calculus to Investigation of Functions 131

Chapter IV
Indefinite Integrals. Basic Methods of Integration 190

Chapter V
Basic Classes of Integrable Functions 214

Chapter VI
The Definite Integral 247

Chapter VII
Applications of the Definite Integral 310

Chapter VIII
Improper Integrals 387


Answers and Hints 418