How Round Is Your Circle

Author: John Bryant
Publisher: Princeton University Press
ISBN: 0691149925
Size: 73.13 MB
Format: PDF
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'How Round is your Circle?' includes chapters on: hard lines; how to draw a straight line; four-bar variations; building the world's first rules; dividing the circle; falling aprat; follow my leader; all approximations are rational; all a matter of balance; and finding some equilibrium.

How Round Is Your Circle

Author: John Bryant
Publisher: Princeton University Press
ISBN: 1400837952
Size: 56.97 MB
Format: PDF, Kindle
View: 441
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How do you draw a straight line? How do you determine if a circle is really round? These may sound like simple or even trivial mathematical problems, but to an engineer the answers can mean the difference between success and failure. How Round Is Your Circle? invites readers to explore many of the same fundamental questions that working engineers deal with every day--it's challenging, hands-on, and fun. John Bryant and Chris Sangwin illustrate how physical models are created from abstract mathematical ones. Using elementary geometry and trigonometry, they guide readers through paper-and-pencil reconstructions of mathematical problems and show them how to construct actual physical models themselves--directions included. It's an effective and entertaining way to explain how applied mathematics and engineering work together to solve problems, everything from keeping a piston aligned in its cylinder to ensuring that automotive driveshafts rotate smoothly. Intriguingly, checking the roundness of a manufactured object is trickier than one might think. When does the width of a saw blade affect an engineer's calculations--or, for that matter, the width of a physical line? When does a measurement need to be exact and when will an approximation suffice? Bryant and Sangwin tackle questions like these and enliven their discussions with many fascinating highlights from engineering history. Generously illustrated, How Round Is Your Circle? reveals some of the hidden complexities in everyday things.

How Round Is Your Circle

Author: John Bryant
Publisher: Princeton University Press
ISBN: 9780691131184
Size: 18.86 MB
Format: PDF, ePub, Docs
View: 573
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'How Round is your Circle?' includes chapters on: hard lines; how to draw a straight line; four-bar variations; building the world's first rules; dividing the circle; falling aprat; follow my leader; all approximations are rational; all a matter of balance; and finding some equilibrium.

A Certain Ambiguity

Author: Gaurav Suri
Publisher: Princeton University Press
ISBN: 9781400834778
Size: 44.13 MB
Format: PDF, Mobi
View: 4705
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While taking a class on infinity at Stanford in the late 1980s, Ravi Kapoor discovers that he is confronting the same mathematical and philosophical dilemmas that his mathematician grandfather had faced many decades earlier--and that had landed him in jail. Charged under an obscure blasphemy law in a small New Jersey town in 1919, Vijay Sahni is challenged by a skeptical judge to defend his belief that the certainty of mathematics can be extended to all human knowledge--including religion. Together, the two men discover the power--and the fallibility--of what has long been considered the pinnacle of human certainty, Euclidean geometry. As grandfather and grandson struggle with the question of whether there can ever be absolute certainty in mathematics or life, they are forced to reconsider their fundamental beliefs and choices. Their stories hinge on their explorations of parallel developments in the study of geometry and infinity--and the mathematics throughout is as rigorous and fascinating as the narrative and characters are compelling and complex. Moving and enlightening, A Certain Ambiguity is a story about what it means to face the extent--and the limits--of human knowledge.

Circles

Author: James Burke
Publisher: Simon and Schuster
ISBN: 9781439127957
Size: 66.96 MB
Format: PDF, ePub, Mobi
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From the bestselling author of The Knowledge Web come fifty mesmerizing journeys into the history of technology, each following a chain of consequential events that ends precisely where it began. Whether exploring electromagnetic fields, the origin of hot chocolate, or DNA fingerprinting, these essays -- which originally appeared in James Burke's popular Scientific American column -- all illustrate the serendipitous and surprisingly circular nature of change. In "Room with (Half) a View," for instance, Burke muses about the partly obscured railway bridge outside his home on the Thames. Thinking of the bridge engineer, who also built the steamship that laid the first transatlantic telegraph cable, causes him to recall Samuel Morse; which, in turn, conjures up Morse's neighbor, firearms inventor Sam Colt, and his rival, Remington. One dizzying connection after another leads to Karl Marx's daughter, who attended Socialist meetings with a trombonist named Gustav Holst, who once lived in the very house that blocks Burke's view of the bridge on the Thames. Burke's essays all evolve in this organic manner, highlighting the interconnectedness of seemingly unrelated events and innovations. Romantic poetry leads to brandy distillation; tonic water connects through Leibniz to the first explorers to reach the North Pole. Witty, instructive, and endlessly entertaining, Circles expands on the trademark style that has captivated James Burke fans for years. This unique collection is sure to stimulate and delight history buffs, technophiles, and anyone else with a healthy intellectual curiosity.

Fractals Googols And Other Mathematical Tales The Book

Author: Theoni Pappas
Publisher: Wide World Pub Tetra
ISBN:
Size: 13.38 MB
Format: PDF, Docs
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A new treasure trove of stories that make mathematical ideas come to life with an unusual cast of characters. This book explores mathematical concepts and topics such as real numbers, exponents, dimensions, and geometry in both serious and humorous ways. 50 line drawings.

Yurts

Author: Becky Kemery
Publisher: Gibbs Smith
ISBN: 9781586858919
Size: 77.37 MB
Format: PDF, Mobi
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Yurts: Living in the Round journeys from Central Asia to modern America and reveals the history, evolution, and contemporary benefits of yurt living. One of the oldest forms of indigenous shelter still in use today, yurts have exploded into the twenty-first century as a multi-faceted, thoroughly modern, utterly versatile, and immensely popular modern structure whose possibilities are still being explored. Kemery introduces the innovators who redesigned the yurt and took it from back country trekking and campground uses to modern permanent homes and offices.

Tensors Differential Forms And Variational Principles

Author: David Lovelock
Publisher: Courier Corporation
ISBN: 048613198X
Size: 44.69 MB
Format: PDF, Docs
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Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.

Digital Filters

Author: Richard W. Hamming
Publisher: Courier Corporation
ISBN: 0486319245
Size: 53.78 MB
Format: PDF
View: 7401
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Introductory text examines role of digital filtering in many applications, particularly computers. Focus on linear signal processing; some consideration of roundoff effects, Kalman filters. Only calculus, some statistics required.