{"product_id":"when-least-is-best-how-mathematicians-discovered-many-clever-ways-to-make-things-as-small-or-as-large-as-possible","title":"When Least Is Best: How Mathematicians Discovered Many Clever Ways to Make Things as Small (or as Large) as Possible","description":"What is the best way to photograph a speeding bullet? Why does light move through glass in the least amount of time possible? How can lost hikers find their way out of a forest? What will rainbows look like in the future? Why do soap bubbles have a shape that gives them the least area?\n\nBy combining the mathematical history of extrema with contemporary examples, Paul J. Nahin answers these intriguing questions and more in this engaging and witty volume. He shows how life often works at the extremes--with values becoming as small (or as large) as possible--and how mathematicians over the centuries have struggled to calculate these problems of minima and maxima. From medieval writings to the development of modern calculus to the current field of optimization, Nahin tells the story of Dido's problem, Fermat and Descartes, Torricelli, Bishop Berkeley, Goldschmidt, and more. Along the way, he explores how to build the shortest bridge possible between two towns, how to shop for garbage bags, how to vary speed during a race, and how to make the perfect basketball shot.\n\nWritten in a conversational tone and requiring only an early undergraduate level of mathematical knowledge, When Least Is Best is full of fascinating examples and ready-to-try-at-home experiments. This is the first book on optimization written for a wide audience, and math enthusiasts of all backgrounds will delight in its lively topics.\u003cbr\u003eASIN: 0691070784\u003cbr\u003eVSKU: BVV.0691070784.G\u003cbr\u003eCondition: Good\u003cbr\u003eAuthor\/Artist:Nahin, Paul J.\u003cbr\u003eBinding: Hardcover\u003cbr\u003e\u003cb\u003eNote:\u003c\/b\u003e Any images shown are stock photographs and product may differ from what is shown.  \u003cbr\u003e\u003cb\u003eCondition Notes\u003c\/b\u003e: The item shows wear from consistent use, but it remains in good condition and works perfectly. All pages and cover are intact  including the dust cover, if applicable . Spine may show signs of wear. Pages may include limited notes and highlighting. May NOT include discs, access code or other supplemental materials.  \u003cbr\u003e","brand":"Blue Vase Books","offers":[{"title":"Default Title","offer_id":43667657916477,"sku":"BVV.0691070784.G","price":6.91,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0589\/4225\/9261\/files\/0691070784-0.jpg?v=1790028096","url":"https:\/\/www.bluevasebooks.com\/products\/when-least-is-best-how-mathematicians-discovered-many-clever-ways-to-make-things-as-small-or-as-large-as-possible","provider":"Blue Vase Books","version":"1.0","type":"link"}