Methods for Finding Zeros in Polynomials
by Leif Mejlbro
Publisher: BookBoon 2011
Number of pages: 122
Polynomials are the first class of functions that the student meets. Therefore, one may think that they are easy to handle. They are not in general! Topics as e.g. finding roots in a polynomial and the winding number are illustrated. Some of the topics only require an elementary knowledge of Calculus in one variable. Others rely heavily on Complex Functions Theory.
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by Christian Berg - Kobenhavns Universitet
Contents: Holomorphic functions; Contour integrals and primitives; The theorems of Cauchy; Applications of Cauchy's integral formula; Zeros and isolated singularities; The calculus of residues; The maximum modulus principle; Moebius transformations.
by Nicolas Lerner - Birkhäuser
This is a book on pseudodifferential operators, with emphasis on non-selfadjoint operators, a priori estimates and localization in the phase space. The first part of the book is accessible to graduate students with a decent background in Analysis.
by Andrew Russell Forsyth - Cambridge University Press
The present treatise is an attempt to give a consecutive account of what may fairly be deemed the principal branches of the whole subject. The book may assist mathematicians, by lessening the labour of acquiring a proper knowledge of the subject.
by M.-H. Schwartz - Tata Institute of Fundamental Research
Contents: Preliminaries; Some theorems on stratification; Whitney's Theorems (Tangent Cones, Wings, The singular set Sa); Whitney Stratifications and pseudofibre bundles (Pseudo fibre spaces, Obstructions in pseudo-fibrations, etc.).