Complex polynomials

By:

Sheil-Small, T

Series: Cambridge studies in advanced mathematics ; 75Publication details: Cambridge University Press, 2009. Cambridge:Description: xix, 428p. : ill. ; pb, 23 cmISBN:

9780521102766

Subject(s):

DDC classification:

512.942 SHE

Summary: Melding together ideas from algebra, topology and analysis, this book studies the geometric theory of polynomials and rational functions in the plane. Any theory in the plane should make full use of the complex numbers and thus the early chapters build the foundations of complex variable theory. In fact, throughout the book, the author introduces a variety of ideas and constructs theories around them, incorporating much of the classical theory of polynomials as he proceeds. These ideas are used to study a number of unsolved problems, bearing in mind that such problems indicate the current limitations of our knowledge and present challenges for the future. However, theories also lead to solutions of some problems and several such solutions are given including a comprehensive account of the geometric convolution theory.

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	512.942 SHE (Browse shelf(Opens below))	1	Available		030080

Includes bibliographical references and index.

Melding together ideas from algebra, topology and analysis, this book studies the geometric theory of polynomials and rational functions in the plane. Any theory in the plane should make full use of the complex numbers and thus the early chapters build the foundations of complex variable theory. In fact, throughout the book, the author introduces a variety of ideas and constructs theories around them, incorporating much of the classical theory of polynomials as he proceeds. These ideas are used to study a number of unsolved problems, bearing in mind that such problems indicate the current limitations of our knowledge and present challenges for the future. However, theories also lead to solutions of some problems and several such solutions are given including a comprehensive account of the geometric convolution theory.

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