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Fundamentals of Analysis with Applications (Hardcover, 1st ed. 2022)
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Fundamentals of Analysis with Applications (Hardcover, 1st ed. 2022)
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This book serves as a textbook in real analysis. It focuses on the
fundamentals of the structural properties of metric spaces and
analytical properties of functions defined between such spaces.
Topics include sets, functions and cardinality, real numbers,
analysis on R, topology of the real line, metric spaces, continuity
and differentiability, sequences and series, Lebesgue integration,
and Fourier series. It is primarily focused on the applications of
analytical methods to solving partial differential equations rooted
in many important problems in mathematics, physics, engineering,
and related fields. Both the presentation and treatment of topics
are fashioned to meet the expectations of interested readers
working in any branch of science and technology. Senior
undergraduates in mathematics and engineering are the targeted
student readership, and the topical focus with applications to
real-world examples will promote higher-level mathematical
understanding for undergraduates in sciences and engineering.
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