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Mathematical Analysis II (Paperback, Softcover reprint of the original 2nd ed. 2016)
Loot Price: R1,993
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Mathematical Analysis II (Paperback, Softcover reprint of the original 2nd ed. 2016)
Series: Universitext
Expected to ship within 10 - 15 working days
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This second English edition of a very popular two-volume work
presents a thorough first course in analysis, leading from real
numbers to such advanced topics as differential forms on manifolds;
asymptotic methods; Fourier, Laplace, and Legendre transforms;
elliptic functions; and distributions. Especially notable in this
course are the clearly expressed orientation toward the natural
sciences and the informal exploration of the essence and the roots
of the basic concepts and theorems of calculus. Clarity of
exposition is matched by a wealth of instructive exercises,
problems, and fresh applications to areas seldom touched on in
textbooks on real analysis. The main difference between the second
and first English editions is the addition of a series of
appendices to each volume. There are six of them in the first
volume and five in the second. The subjects of these appendices are
diverse. They are meant to be useful to both students (in
mathematics and physics) and teachers, who may be motivated by
different goals. Some of the appendices are surveys, both
prospective and retrospective. The final survey establishes
important conceptual connections between analysis and other parts
of mathematics. This second volume presents classical analysis in
its current form as part of a unified mathematics. It shows how
analysis interacts with other modern fields of mathematics such as
algebra, differential geometry, differential equations, complex
analysis, and functional analysis. This book provides a firm
foundation for advanced work in any of these directions.
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