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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis
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Sharpening Mathematical Analysis Skills (Paperback, 1st ed. 2021)
Loot Price: R1,677
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Sharpening Mathematical Analysis Skills (Paperback, 1st ed. 2021)
Series: Problem Books in Mathematics
Expected to ship within 10 - 15 working days
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This book gathers together a novel collection of problems in
mathematical analysis that are challenging and worth studying. They
cover most of the classical topics of a course in mathematical
analysis, and include challenges presented with an increasing level
of difficulty. Problems are designed to encourage creativity, and
some of them were especially crafted to lead to open problems which
might be of interest for students seeking motivation to get a start
in research. The sets of problems are comprised in Part I. The
exercises are arranged on topics, many of them being preceded by
supporting theory. Content starts with limits, series of real
numbers and power series, extending to derivatives and their
applications, partial derivatives and implicit functions. Difficult
problems have been structured in parts, helping the reader to find
a solution. Challenges and open problems are scattered throughout
the text, being an invitation to discover new original methods for
proving known results and establishing new ones. The final two
chapters offer ambitious readers splendid problems and two new
proofs of a famous quadratic series involving harmonic numbers. In
Part II, the reader will find solutions to the proposed exercises.
Undergraduate students in mathematics, physics and engineering,
seeking to strengthen their skills in analysis, will most benefit
from this work, along with instructors involved in math contests,
individuals who want to enrich and test their knowledge in
analysis, and anyone willing to explore the standard topics of
mathematical analysis in ways that aren't commonly seen in regular
textbooks.
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