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A Course of Higher Mathematics: Adiwes International Series in Mathematics, Volume 1

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by V. I. Smirnov
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A Course of Higher Mathematics: Adiwes International Series in Mathematics, Volume 1 by V. I. Smirnov

A Course of Higher Mathematics, I: Elementary Calculus is a five-volume course of higher mathematics used by mathematicians, physicists, and engineers in the U.S.S.R.
This volume deals with calculus and principles of mathematical analysis including topics on functions of single and multiple variables. The functional relationships, theory of limits, and the concept of differentiation, whether as theories and applications, are discussed. This book also examines the applications of differential calculus to geometry. For example, the equations to determine the differential of arc or the parameters of a curve are shown. This text then notes the basic problems involving integral calculus, particularly regarding indefinite integrals and their properties. The application of definite integrals in the calculation of area of a sector, the length of arc, and the calculation of the volumes of solids of a given cross-section are explained. This book further discusses the basic theory of infinite series, applications to approximate evaluations, Taylor's formula, and its extension. Finally, the geometrical approach to the concept of a number is reviewed.
This text is suitable for physicists, engineers, mathematicians, and students in higher mathematics.

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Ebook Details
Pages: 558
Size: 50.0 MB
Publisher: Pergamon
Date published:   2014
ISBN: 9781483156361 (DRM-PDF)

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This product is listed in the following categories:

Nonfiction > Mathematics > Pre-Calculus
Nonfiction > Mathematics > Essays
Nonfiction > Mathematics > Reference

This author has products in the following categories:

Nonfiction > Mathematics > Mathematical Analysis
Nonfiction > Mathematics > Calculus
Nonfiction > Mathematics > Pre-Calculus
Nonfiction > Mathematics > Essays
Nonfiction > Mathematics > Reference
Nonfiction > Mathematics > Algebra
Nonfiction > Mathematics > Algebra > Linear

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