Description

Book Synopsis
Mathematicians delight in finding surprising connections between seemingly disparate areas of mathematics. Finding Ellipses is a delight-filled romp across a three-way unexpected connection between complex analysis, linear algebra, and projective geometry.

Table of Contents
  • Part 1: The surprising ellipse
  • The ellipse three ways
  • Blaschke products
  • Blaschke products and ellipses
  • Poncelet's theorem for triangles
  • The numerical range
  • The connection revealed
  • Intermezzo: And now for something completely different...Benford's law
  • Part 2: Compressions of the shift operator: The basics
  • Higher dimensions: Not your Poncelet ellipse
  • Interpolation with Blaschke products
  • Poncelet's theorem for $n$-gons
  • Kippenhahn's curve and Blaschke's products
  • Iteration, ellipses, and Blaschke products
  • On suprising connections
  • Part 3: Fourteen projects for fourteen chapters
  • Index
  • Bibliography.

    Finding Ellipses

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      A Hardback by Ulrich Daepp, Pamela Gorkin, Andrew Shaffer

      £60.30

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      RRP £67.00 – you save £6.70 (10%)

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        Book details

        Publisher American Mathematical Society
        Published 10/30/2018 12:00:00 AM
        ISBN-13 9781470443832
        978-1470443832
        ISBN-10 147044383X

        Description

        Book Synopsis
        Mathematicians delight in finding surprising connections between seemingly disparate areas of mathematics. Finding Ellipses is a delight-filled romp across a three-way unexpected connection between complex analysis, linear algebra, and projective geometry.

        Table of Contents
        • Part 1: The surprising ellipse
        • The ellipse three ways
        • Blaschke products
        • Blaschke products and ellipses
        • Poncelet's theorem for triangles
        • The numerical range
        • The connection revealed
        • Intermezzo: And now for something completely different...Benford's law
        • Part 2: Compressions of the shift operator: The basics
        • Higher dimensions: Not your Poncelet ellipse
        • Interpolation with Blaschke products
        • Poncelet's theorem for $n$-gons
        • Kippenhahn's curve and Blaschke's products
        • Iteration, ellipses, and Blaschke products
        • On suprising connections
        • Part 3: Fourteen projects for fourteen chapters
        • Index
        • Bibliography.

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