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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
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Research Topics in Analysis, Volume I - Grounding Theory (Hardcover, 1st ed. 2022)
Loot Price: R2,296
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Research Topics in Analysis, Volume I - Grounding Theory (Hardcover, 1st ed. 2022)
Series: Birkhauser Advanced Texts / Basler Lehrbucher
Expected to ship within 18 - 22 working days
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This book, which is the first of two volumes, presents, in a unique
way, some of the most relevant research tools of modern analysis.
This work empowers young researchers with all the necessary
techniques to explore the various subfields of this broad subject,
and introduces relevant frameworks where these tools can be
immediately deployed. Volume I starts with the foundations of
modern analysis. The first three chapters are devoted to topology,
measure theory, and functional analysis. Chapter 4 offers a
comprehensive analysis of the main function spaces, while Chapter 5
covers more concrete subjects, like multivariate analysis, which
are closely related to applications and more difficult to find in
compact form. Chapter 6 deals with smooth and non-smooth calculus
of functions; Chapter 7 introduces certain important classes of
nonlinear operators; and Chapter 8 complements the previous three
chapters with topics of variational analysis. Each chapter of this
volume finishes with a list of problems - handy for understanding
and self-study - and historical notes that give the reader a more
vivid picture of how the theory developed. Volume II consists of
various applications using the tools and techniques developed in
this volume. By offering a clear and wide picture of the tools and
applications of modern analysis, this work can be of great benefit
not only to mature graduate students seeking topics for research,
but also to experienced researchers with an interest in this vast
and rich field of mathematics.
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