When Least Is Best How Mathematicians Discovered Many Clever Ways to Make Things as Small or as Large as Possible 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 l

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 By combining the mathematical history of extrema with contemporary examples, Paul J NahiWhat 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 By combining the mathematical history of extrema with contemporary examples, Paul J Nahin answers these intriguing questions and 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 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.Written 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.

For the mathematically inclined, this book takes you through many problems/calculations in determining various extrema problems and learning various well-known real life examples. Included is some discussion of the history of these problems.

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A must re-read. Finally Euler Lagrange equation made sense through it.