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A Primer of Real Analytic Functions (Paperback, Softcover reprint of the original 2nd ed. 2002)
Loot Price: R2,680
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A Primer of Real Analytic Functions (Paperback, Softcover reprint of the original 2nd ed. 2002)
Series: Birkhauser Advanced Texts / Basler Lehrbucher
Expected to ship within 10 - 15 working days
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The subject of real analytic functions is one of the oldest in
modern mathematics and is the wellspring of the theory of analysis,
both real and complex. To date, there is no comprehensive book on
the subject, yet the tools of the theory are widely used by
mathematicians today. Key topics in the theory of real analytic
functions that are covered in this text and are rather difficult to
pry out of the literature include: the real analytic implicit
function theorem, resolution of singularities, the FBI transform,
semi-analytic sets, Faa di Bruno's formula and its applications,
zero sets of real analytic functions, Lojaciewicz's theorem,
Puiseaux's theorem. New to this second edition are such topics as:
* A more revised and comprehensive treatment of the Faa di Bruno
formula * An alternative treatment of the implicit function theorem
* Topologies on the space of real analytic functions * The
Weierstrass Preparation Theorem This well organized and clearly
written advanced textbook introduces students to real analytic
functions of one or more real variables in a systematic fashion.
The first part focuses on elementary properties and classical
topics and the second part is devoted to more difficult topics.
Many historical remarks, examples, references and an excellent
index should encourage student and researcher alike to further
study this valuable and exciting theory.
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