{"product_id":"finding-ellipses-9781470443832","title":"Finding Ellipses","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eMathematicians delight in finding surprising connections between seemingly disparate areas of mathematics. \u003cem\u003eFinding Ellipses\u003c\/em\u003e is a delight-filled romp across a three-way unexpected connection between complex analysis, linear algebra, and projective geometry.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003ePart 1: The surprising ellipse\u003c\/li\u003e\n\u003cli\u003eThe ellipse three ways\u003c\/li\u003e\n\u003cli\u003eBlaschke products\u003c\/li\u003e\n\u003cli\u003eBlaschke products and ellipses\u003c\/li\u003e\n\u003cli\u003ePoncelet's theorem for triangles\u003c\/li\u003e\n\u003cli\u003eThe numerical range\u003c\/li\u003e\n\u003cli\u003eThe connection revealed\u003c\/li\u003e\n\u003cli\u003eIntermezzo: And now for something completely different...Benford's law\u003c\/li\u003e\n\u003cli\u003ePart 2: Compressions of the shift operator: The basics\u003c\/li\u003e\n\u003cli\u003eHigher dimensions: Not your Poncelet ellipse\u003c\/li\u003e\n\u003cli\u003eInterpolation with Blaschke products\u003c\/li\u003e\n\u003cli\u003ePoncelet's theorem for $n$-gons\u003c\/li\u003e\n\u003cli\u003eKippenhahn's curve and Blaschke's products\u003c\/li\u003e\n\u003cli\u003eIteration, ellipses, and Blaschke products\u003c\/li\u003e\n\u003cli\u003eOn suprising connections\u003c\/li\u003e\n\u003cli\u003ePart 3: Fourteen projects for fourteen chapters\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003cli\u003eBibliography.\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":50041323553111,"sku":"9781470443832","price":60.3,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470443832.jpg?v=1740182355","url":"https:\/\/bookcurl.com\/products\/finding-ellipses-9781470443832","provider":"Book Curl","version":"1.0","type":"link"}