PDF Download A History of the Circle: Mathematical Reasoning and the Physical UniverseBy Ernest Zebrowski Jr

PDF Download A History of the Circle: Mathematical Reasoning and the Physical UniverseBy Ernest Zebrowski Jr

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A History of the Circle: Mathematical Reasoning and the Physical UniverseBy Ernest Zebrowski Jr

PDF Download A History of the Circle: Mathematical Reasoning and the Physical UniverseBy Ernest Zebrowski Jr

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The concept of the circle is ubiquitous. It can be described mathematically, represented physically, and employed technologically. The circle is an elegant, abstract form that has been transformed by humans into tangible, practical forms to make our lives easier.

And yet no one has ever discovered a true mathematical circle. Rainbows are fuzzy; car tires are flat on the bottom, and even the most precise roller bearings have measurable irregularities. Ernest Zebrowski, Jr., discusses why investigations of the circle have contributed enormously to our current knowledge of the physical universe. Beginning with the ancient mathematicians and culminating in twentieth-century theories of space and time, the mathematics of the circle has pointed many investigators in fruitful directions in their quests to unravel nature’s secrets. Johannes Kepler, for example, triggered a scientific revolution in 1609 when he challenged the conception of the earth’s circular motion around the sun. Arab and European builders instigated the golden age of mosque and cathedral building when they questioned the Roman structural arches that were limited to geometrical semicircles.

Throughout his book, Zebrowski emphasizes the concepts underlying these mathematicians’ calculations, and how these concepts are linked to real-life examples. Substantiated by easy-to-follow mathematical reasoning and clear illustrations, this accessible book presents a novel and interesting discussion of the circle in technology, culture, history, and science.

• Sales Rank: #2601969 in Books
• Brand: Brand: Rutgers University Press
• Published on: 1999-06-01
• Original language: English
• Number of items: 1
• Dimensions: .82" h x 6.40" w x 9.56" l, 1.17 pounds
• Binding: Hardcover
• 232 pages

Features

• Used Book in Good Condition

From Library Journal
After Zebrowski's well-received Perils of a Restless Planet (LJ 7/97), this new book is a disappointment. Only partially about circles, the text aims "to examine [for the general reader] the broader relationship between mathematical reasoning and the physical universe." Most of the physical examples are common ones, from historical models of the solar system to relativity theory, which standard physics and astronomy texts explain better and just as engagingly. An exception is an intriguing discussion of some techniques used in the construction of the pyramids. The level of exposition varies greatly: a whole chapter is devoted to the elementary relationships of linear dimension, area, and volume, whereas the discussion of wave phenomena uses partial differential equations. There are occasional errors, such as the statement that a neutron star comprises "billions of protons and neutrons," and curious terminology: the list of regular polyhedra repeatedly includes the hexahedron rather than the cube. The endnotes provide appropriate suggestions for further reading, some popular, some scholarly. For larger public libraries.AKristine Fowler, Mathematics Lib., Univ. of Minnesota, Minneapolis
Copyright 1999 Reed Business Information, Inc.

Review
"From a history of pi to the workings of rollers and gears, from tsunami killer waves to the elusive waves of gravity, from the atom's nucleus to the structure of the universe-here is a fascinating tour de force of all things circular. After reading Zebrowski's account, you'll get answers to everything you've always asked about the circle-and much more!" -- Eli Maor, author of e: The Story of a Number and Trigonometric Delights

"The waves at the beach, the chariot wheels of the ancient Egyptians, the swirling of millions of stars in distant galaxies, the shape of puffball mushrooms, the structure of the atoms in our own bodies-all these and many other diverse physical entities become connected when we reduce their descriptions to mathematical language. But are the connections really there, and historically valid, or are they just artifacts of our limited way of thinking mathematically? I invite you to take this little journey with me and draw your own conclusions. An enjoyable readable treatment of the interaction between mathematical ideals and physical reality. Full of good stories." -- Thomas Banchoff, author of Beyond the Third Dimension

From the Inside Flap
The concept of the circle is ubiquitous. It can be described mathematically, represented physically, and employed technologically. We drive cars that go on round tires, we operate our laundry machines with quarters, and we unscrew our ketchup bottle caps. The circle is an elegant, abstract from that has been transformed by humans into tangible, practical forms to make our lives easier.

And yet no one has ever discovered a true mathematical circle. Rainbows are fuzzy, car tires are flat on the bottom and even the most precise roller bearings have measurable irregularities. Ernest Zebrowski Jr. discusses why investigations of the circle over time have contributed enormously to our current knowledge of the physical universe. Beginning with the ancient mathematicians and culminating in twentieth-century knowledge of the physical universe. Beginning with the ancient mathematicians and culminating in twentieth-century theories of space and time, the mathematics of the circle has pointed many investigators in fruitful directions in their quests to unravel nature's secrets. Johannes Kepler, for example, triggered a scientific revolution in 1609 when he challenged the earth's circular motion around the sun. Arab and European builders instigated the golden age of mosque and cathedral building when they questioned the Roman structural arches that were limited to geometric semicircles.

Throughout his book, Zebrowski emphasizes the concepts underlying these mathematicians' calculations, and how these concepts are linked to real-life examples. Substantiated by easy-to-follow mathematical reasoning and clear illustrations, this accessible book presents a novel and interesting discussion of the circle in technology, culture, history, and science.

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A History of the Circle: Mathematical Reasoning and the Physical UniverseBy Ernest Zebrowski Jr PDF

A History of the Circle: Mathematical Reasoning and the Physical UniverseBy Ernest Zebrowski Jr PDF