Summation of Infinitely Small Quantities (Dover Books on Mathematics)

Natanson, I.P.

ISBN 10: 0486843378 ISBN 13: 9780486843377

Published by Dover Publications, 2020

Language: English

Condition: Used - Near fine Soft cover

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SUMMATION OF INFINITELY SMALL QUANTITIES. New York: Dover. Very Good. Unmarked. Clean and bright softcover with light edge, corner, and shelf wear. No rips, chips, stains or tears. Binding solid. Dover edition translated from Russian series. Ships quickly with care from the US. From Back Cover: Summation of Infinitely Small Quantities (Dover Books on Mathematics) by I.P. Natanson is a concise introduction to integral calculus, adapted from a popular Russian educational series.

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Bibliographic Details

Title

Summation of Infinitely Small Quantities (Dover Books on Mathematics)

Publisher

Dover Publications

Publication Date

2020

Language

English

ISBN 10

0486843378

ISBN 13

9780486843377

Binding

paperback

Edition

Reprint Dover .

Condition

Near Fine

Weight

25 ounces

Seller catalogs

ENGINEERING & MATHEMATICS

About this title

Synopsis

Translated and adapted from a popular Russian educational series, this concise book requires only some background in high school algebra and elementary trigonometry. It explores the fundamental concept of the integral calculus: the limit of the sum of an infinitely increasing number of infinitely decreasing quantities. Mastery of this concept enables the solution of geometry and physics problems, and is an excellent introduction to the systematic study of higher mathematics.
Starting with some algebraic formulas, the treatment proceeds to the determination of the pressure of a liquid on a vertical wall and the calculation of the work done in pumping liquid from a container. Subsequent chapters explore finding the volumes of a cone, pyramid, sphere, and other geometric forms and the measurement of the parabola, ellipse, and sinusoid. The text concludes with a selection of practice problems.
For advanced high school students and college undergraduates.

About the Author

A Swiss-born Soviet mathematician, Isidor Pavlovich Natanson (1906–64) served on the faculty of Leningrad State University (now Saint Petersburg State University), specializing in real analysis and constructive function theory. Dover also published his Theory of the Functions of a Real Variable.

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