Free ipod audio books download Finding Ellipses

Finding Ellipses. Ulrich Daepp, Pamela Gorkin, Andrew Shaffer, Karl Voss

Finding-Ellipses.pdf
ISBN: 9781470443832 | 264 pages | 7 Mb

• Finding Ellipses
• Ulrich Daepp, Pamela Gorkin, Andrew Shaffer, Karl Voss
• Page: 264
• Format: pdf, ePub, fb2, mobi
• ISBN: 9781470443832
• Publisher: American Mathematical Society

Download Finding Ellipses

Free ipod audio books download Finding Ellipses by Ulrich Daepp, Pamela Gorkin, Andrew Shaffer, Karl Voss in English 9781470443832 ePub iBook

Overview

Finding Ellipses by Ulrich Daepp, Pamela Gorkin, Andrew Shaffer, Karl Voss Mathematicians delight in finding surprising connections between seemingly disparate areas of mathematics. Whole domains of modern mathematics have arisen from exploration of such connections--consider analytic number theory or algebraic topology. Finding Ellipses is a delight-filled romp across a three-way unexpected connection between complex analysis, linear algebra, and projective geometry. The book begins with Blaschke products, complex-analytic functions that are generalizations of disk automorphisms. In the analysis of Blaschke products, we encounter, in a quite natural way, an ellipse inside the unit disk. The story continues by introducing the reader to Poncelet's theorem--a beautiful result in projective geometry that ties together two conics and, in particular, two ellipses, one circumscribed by a polygon that is inscribed in the second. The Blaschke ellipse and the Poncelet ellipse turn out to be the same ellipse, and the connection is illuminated by considering the numerical range of a $2 imes 2$ matrix. The numerical range is a convex subset of the complex plane that contains information about the geometry of the transformation represented by a matrix. Through the numerical range of $n imes n$ matrices, we learn more about the interplay between Poncelet's theorem and Blaschke products. The story ranges widely over analysis, algebra, and geometry, and the exposition of the deep and surprising connections is lucid and compelling. Written for advanced undergraduates or beginning graduate students, this book would be the perfect vehicle for an invigorating and enlightening capstone exploration. The exercises and collection of extensive projects could be used as an embarkation point for a satisfying and rich research project. You are invited to read actively using the accompanying interactive website, which allows you to visualize the concepts in the book, experiment, and develop original conjectures.

Pdf downloads:
Ebook in pdf format free download The 40-Day Sugar Fast: Where Physical Detox Meets Spiritual Transformation by Wendy Speake, Asheritah Ciuciu 9780801094576 ePub (English literature)
Télécharger des livres google pdf Vaticanum en francais 9782357203358 par José Rodrigues Dos Santos
Download ebooks for ipad Small Doses: Potent Truths for Everyday Use
Téléchargez des livres de vendredi gratuits Le russe à votre rythme - Tome 2, Le nom : formes, valeurs, emploi 9782720405181 par Sérafima Khavronina, Lydia Bron-Tchitchagova ePub MOBI
Télécharger le format pdf de l'ebook 1, 2, 3... Bonheur ! DJVU PDB par Marie-Laure Cuzacq
Descarga de libro gratis TRABAJANDO CON EL PROBLEMA DEL ALCOHOL: ORIENTACIONES Y SUGERENCI AS PARA LA TERAPIA BREVE DE FAMILIA PDB ePub DJVU (Spanish Edition) 9788474325966 de INSOO KIM BERG, SCOTT D. MILLER
Il téléchargement de manuel La saga Chèvrefeuilles (French Edition)
Descargando libros de texto gratis PROTECCION DE DATOS DE SALUD: CRITERIOS Y PLAN DE SEGURIDAD 9788479784911 (Spanish Edition)