Complex polynomials
Series: Cambridge studies in advanced mathematics ; 75Publication details: Cambridge University Press, 2009. Cambridge:Description: xix, 428p. : ill. ; pb, 23 cmISBN:- 9780521102766
- 512.942 SHE
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 |
Browsing IIT Gandhinagar shelves, Shelving location: General Stacks, Collection: General Close shelf browser (Hides shelf browser)
512.9 JAC Basic Algebra I | 512.9 JAC Basic algebra | 512.942 KAL Uncommon mathematical excursions: polynomia and related realms | 512.942 SHE Complex polynomials | 512.9432 GEL Discriminants, resultants, and multidimensional determinants | 512.9434 AND Introduction to random matrices | 512.9434 GOL Matrix computations |
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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