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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
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Rational Sphere Maps (Hardcover, 1st ed. 2021)
Loot Price: R3,628
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Rational Sphere Maps (Hardcover, 1st ed. 2021)
Series: Progress in Mathematics, 341
Expected to ship within 10 - 15 working days
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This monograph systematically explores the theory of rational maps
between spheres in complex Euclidean spaces and its connections to
other areas of mathematics. Synthesizing research from the last
forty years, the author aims for accessibility by balancing
abstract concepts with concrete examples. Numerous computations are
worked out in detail, and more than 100 optional exercises are
provided throughout for readers wishing to better understand
challenging material. The text begins by presenting core concepts
in complex analysis and a wide variety of results about rational
sphere maps. The subsequent chapters discuss combinatorial and
optimization results about monomial sphere maps, groups associated
with rational sphere maps, relevant complex and CR geometry, and
some geometric properties of rational sphere maps. Fifteen open
problems appear in the final chapter, with references provided to
appropriate parts of the text. These problems will encourage
readers to apply the material to future research. Rational Sphere
Maps will be of interest to researchers and graduate students
studying several complex variables and CR geometry. Mathematicians
from other areas, such as number theory, optimization, and
combinatorics, will also find the material appealing. See the
author's research web page for a list of typos, clarifications,
etc.: https://faculty.math.illinois.edu/~jpda/research.html
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