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Functional Analysis - Fundamentals and Applications (Hardcover, 2nd ed. 2022)
Loot Price: R1,784
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Functional Analysis - Fundamentals and Applications (Hardcover, 2nd ed. 2022)
Series: Cornerstones
Expected to ship within 10 - 15 working days
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This textbook presents the principles of functional analysis in a
clear and concise way. The first three chapters describe the
general notions of distance, integral, and norm, as well as their
relations. Fundamental examples are provided in the three chapters
that follow: Lebesgue spaces, dual spaces, and Sobolev spaces. Two
subsequent chapters develop applications to capacity theory and
elliptic problems. In particular, the isoperimetric inequality and
the Polya-Szego and Faber-Krahn inequalities are proved by purely
functional methods. The epilogue contains a sketch of the history
of functional analysis in relation to integration and
differentiation. Starting from elementary analysis and introducing
relevant research, this work is an excellent resource for students
in mathematics and applied mathematics. The second edition of
Functional Analysis includes several improvements as well as the
addition of supplementary material. Specifically, the coverage of
advanced calculus and distribution theory has been completely
rewritten and expanded. New proofs, theorems, and applications have
been added as well for readers to explore.
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