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Mathematical Analysis II

Release: Mathematical.Analysis.II

  • Sprache: Englisch
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  • Größe: 14 MB
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Vladimir A. Zorich, "Mathematical Analysis II, 2nd Edition
ISBN: 3662489910 | 2016 | EPUB | 742 pages | 14 MB
This second English edition of a very popular two - volume
work presents a thorough first course in analysis, leading
from real numbers to such advanced topics as differential
forms on manifolds; asymptotic methods; Fourier,
Laplace, and Legendre transforms; elliptic functions; and
distributions. Especially notable in this course are the
clearly expressed orientation toward the natural sciences
and the informal exploration of the essence and the roots
of the basic concepts and theorems of calculus. Clarity of
exposition is matched by a wealth of instructive
exercises, problems, and fresh applications to areas
seldom touched on in textbooks on real analysis.

The main difference between the second and first English
editions is the addition of a series of appendices to each
volume. There are six of them in the first volume and five
in the second. The subjects of these appendices are
diverse. They are meant to be useful to both students (in
mathematics and physics) and teachers, who may be
motivated by different goals. Some of the appendices are
surveys, both prospective and retrospective. The final
survey establishes important conceptual connections
between analysis and other parts of mathematics.

This second volume presents classical analysis in its
current form as part of a unified mathematics. It shows
how analysis interacts with other modern fields of
mathematics such as algebra, differential geometry,
differential equations, complex analysis, and functional
analysis. This book provides a firm foundation for
advanced work in any of these directions.
Sach und Fachbuecher English

Mathematical Analysis II


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