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Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory
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Set Theoretical Aspects of Real Analysis (Hardcover)
Loot Price: R5,846
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Set Theoretical Aspects of Real Analysis (Hardcover)
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Expected to ship within 12 - 19 working days
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Set Theoretical Aspects of Real Analysis is built around a number
of questions in real analysis and classical measure theory, which
are of a set theoretic flavor. Accessible to graduate students, and
researchers the beginning of the book presents introductory topics
on real analysis and Lebesgue measure theory. These topics
highlight the boundary between fundamental concepts of
measurability and nonmeasurability for point sets and functions.
The remainder of the book deals with more specialized material on
set theoretical real analysis. The book focuses on certain logical
and set theoretical aspects of real analysis. It is expected that
the first eleven chapters can be used in a course on Lebesque
measure theory that highlights the fundamental concepts of
measurability and non-measurability for point sets and functions.
Provided in the book are problems of varying difficulty that range
from simple observations to advanced results. Relatively difficult
exercises are marked by asterisks and hints are included with
additional explanation. Five appendices are included to supply
additional background information that can be read alongside,
before, or after the chapters. Dealing with classical concepts, the
book highlights material not often found in analysis courses. It
lays out, in a logical, systematic manner, the foundations of set
theory providing a readable treatment accessible to graduate
students and researchers.
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