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Mathematics - Analysis | Mathematical Analysis II

Mathematical Analysis II

Series: Universitext

Volume package: Mathematical Analysis

Zorich, Vladimir A.

Translated by Cooke, R.

Original Russian edition published by MCCME, Moscow, Russia, 2002

2004, XV, 688 p.

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An entire generation of mathematicians has grown up during the time - tween the appearance of the ?rst edition of this textbook and the publication of the fourth edition, a translation of which is before you. The book is fam- iar to many people, who either attended the lectures on which it is based or studied out of it, and who now teach others in universities all over the world. I am glad that it has become accessible to English-speaking readers. This textbook consists of two parts. It is aimed primarily at university students and teachers specializing in mathematics and natural sciences, and at all those who wish to see both the rigorous mathematical theory and examplesofitse?ectiveuseinthesolutionofrealproblemsofnaturalscience. The textbook exposes classical analysis as it is today, as an integral part of Mathematics in its interrelations with other modern mathematical courses such as algebra, di?erential geometry, di?erential equations, complex and functional analysis.

Content Level » Lower undergraduate

Keywords » Derivative - Fourier series - Fourier transforms - Transformation - analysis on manifolds - asymptotic methods - calculus - differential calculus - differential equation - extrema - functional analysis - geometry - integral calculus

Related subjects » Analysis - Theoretical, Mathematical & Computational Physics

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