How Round Is Your Circle?

Where Engineering and Mathematics Meet

Author: John Bryant,Chris Sangwin

Publisher: Princeton University Press

ISBN: 0691149925

Category: Mathematics

Page: 306

View: 9457

'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?

Where Engineering and Mathematics Meet

Author: John Bryant,Chris Sangwin

Publisher: Princeton University Press

ISBN: 1400837952

Category: Mathematics

Page: 320

View: 5009

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?

Where Engineering and Mathematics Meet

Author: John Bryant,Christopher J. Sangwin

Publisher: Princeton University Press

ISBN: 9780691131184

Category: Mathematics

Page: 306

View: 4483

'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.

Strange Curves, Counting Rabbits, & Other Mathematical Explorations

Author: Keith Ball

Publisher: Princeton University Press

ISBN: 1400841240

Category: Mathematics

Page: 272

View: 1681

How does mathematics enable us to send pictures from space back to Earth? Where does the bell-shaped curve come from? Why do you need only 23 people in a room for a 50/50 chance of two of them sharing the same birthday? In Strange Curves, Counting Rabbits, and Other Mathematical Explorations, Keith Ball highlights how ideas, mostly from pure math, can answer these questions and many more. Drawing on areas of mathematics from probability theory, number theory, and geometry, he explores a wide range of concepts, some more light-hearted, others central to the development of the field and used daily by mathematicians, physicists, and engineers. Each of the book's ten chapters begins by outlining key concepts and goes on to discuss, with the minimum of technical detail, the principles that underlie them. Each includes puzzles and problems of varying difficulty. While the chapters are self-contained, they also reveal the links between seemingly unrelated topics. For example, the problem of how to design codes for satellite communication gives rise to the same idea of uncertainty as the problem of screening blood samples for disease. Accessible to anyone familiar with basic calculus, this book is a treasure trove of ideas that will entertain, amuse, and bemuse students, teachers, and math lovers of all ages.

Yurts

Living in the Round

Author: Becky Kemery

Publisher: Gibbs Smith

ISBN: 9781586858919

Category: Architecture

Page: 146

View: 4862

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.

Banking on Our Future

A Program for Teaching You and Your Kids about Money

Author: John Bryant,Michael Graubart Levin

Publisher: Beacon Press

ISBN: 9780807047170

Category: Family & Relationships

Page: 168

View: 2575

Informs readers how to make economically sound money management decisions, stressing responsibility and the importance of parents acting as financial models for their children.

Group Theory in the Bedroom, and Other Mathematical Diversions

Author: Brian Hayes

Publisher: Hill and Wang

ISBN: 9781429938570

Category: Science

Page: 288

View: 3028

An Award-Winning Essayist Plies His Craft Brian Hayes is one of the most accomplished essayists active today—a claim supported not only by his prolific and continuing high-quality output but also by such honors as the National Magazine Award for his commemorative Y2K essay titled "Clock of Ages," published in the November/December 1999 issue of The Sciences magazine. (The also-rans that year included Tom Wolfe, Verlyn Klinkenborg, and Oliver Sacks.) Hayes's work in this genre has also appeared in such anthologies as The Best American Magazine Writing, The Best American Science and Nature Writing, and The Norton Reader. Here he offers us a selection of his most memorable and accessible pieces—including "Clock of Ages"—embellishing them with an overall, scene-setting preface, reconfigured illustrations, and a refreshingly self-critical "Afterthoughts" section appended to each essay.

Ungraspable Phantom

Essays on Moby-Dick

Author: John Bryant,Mary K. Bercaw Edwards,Timothy Marr

Publisher: N.A

ISBN: 9781606350683

Category: Literary Criticism

Page: 373

View: 5613

Circles In A Forest

Author: Dalene Matthee

Publisher: Penguin Random House South Africa

ISBN: 014302728X

Category: Fiction

Page: 279

View: 6854

Saul Barnard is a man with a self-imposed mission - to halt the wanton destruction of the Knysna Forest, home of wild elephants and the fiercely independent families of woodcutters. For years he has protected the forest from intruders, and has developed a mystical kinship with the spirit of Old Foot, the majestic and indomitable bull elephant. When word goes round that Old Foot is on the rampage, Saul is propelled towards a terrible confrontation that will change his future for ever.

Why the Wheel Is Round

Muscles, Technology, and How We Make Things Move

Author: Steven Vogel

Publisher: University of Chicago Press

ISBN: 022638117X

Category: Science

Page: 344

View: 7736

There is no part of our bodies that fully rotates—be it a wrist or ankle or arm in a shoulder socket, we are made to twist only so far. And yet there is no more fundamental human invention than the wheel—a rotational mechanism that accomplishes what our physical form cannot. Throughout history, humans have developed technologies powered by human strength, complementing the physical abilities we have while overcoming our weaknesses. Providing a unique history of the wheel and other rotational devices—like cranks, cranes, carts, and capstans—Why the Wheel Is Round examines the contraptions and tricks we have devised in order to more efficiently move—and move through—the physical world. Steven Vogel combines his engineering expertise with his remarkable curiosity about how things work to explore how wheels and other mechanisms were, until very recently, powered by the push and pull of the muscles and skeletal systems of humans and other animals. Why the Wheel Is Round explores all manner of treadwheels, hand-spikes, gears, and more, as well as how these technologies diversified into such things as hand-held drills and hurdy-gurdies. Surprisingly, a number of these devices can be built out of everyday components and materials, and Vogel’s accessible and expansive book includes instructions and models so that inspired readers can even attempt to make their own muscle-powered technologies, like trebuchets and ballista. Appealing to anyone fascinated by the history of mechanics and technology as well as to hobbyists with home workshops, Why the Wheel Is Round offers a captivating exploration of our common technological heritage based on the simple concept of rotation. From our leg muscles powering the gears of a bicycle to our hands manipulating a mouse on a roller ball, it will be impossible to overlook the amazing feats of innovation behind our daily devices.

Building Intelligent Systems

A Guide to Machine Learning Engineering

Author: Geoff Hulten

Publisher: Apress

ISBN: 1484234324

Category: Computers

Page: 339

View: 3306

Produce a fully functioning Intelligent System that leverages machine learning and data from user interactions to improve over time and achieve success. This book teaches you how to build an Intelligent System from end to end and leverage machine learning in practice. You will understand how to apply your existing skills in software engineering, data science, machine learning, management, and program management to produce working systems. Building Intelligent Systems is based on more than a decade of experience building Internet-scale Intelligent Systems that have hundreds of millions of user interactions per day in some of the largest and most important software systems in the world. What You’ll Learn Understand the concept of an Intelligent System: What it is good for, when you need one, and how to set it up for success Design an intelligent user experience: Produce data to help make the Intelligent System better over time Implement an Intelligent System: Execute, manage, and measure Intelligent Systems in practice Create intelligence: Use different approaches, including machine learning Orchestrate an Intelligent System: Bring the parts together throughout its life cycle and achieve the impact you want Who This Book Is For Software engineers, machine learning practitioners, and technical managers who want to build effective intelligent systems

Cats' Paws and Catapults

Mechanical Worlds of Nature and People

Author: Steven Vogel,Kathryn K. Davis

Publisher: W. W. Norton & Company

ISBN: 9780393319903

Category: Science

Page: 382

View: 9751

Examines the workings of nature's mechanical designs and man's technology and compares the design similarities and differences of both human and natural technologies.

100 Tricks to Appear Smart in Meetings

How to Get By Without Even Trying

Author: Sarah Cooper

Publisher: Andrews McMeel Publishing

ISBN: 1449483216

Category: Humor

Page: 176

View: 9414

You know those subtle tricks your coworkers are all guilty of? The constant nodding, pretend concentration, useless rhetorical questions? These tricks make them seem like they know what they’re doing when in fact they have no clue. This behavior is so ingrained, so subtle, and so often mistaken for true intelligence that identifying it, calling it out, or compiling it into an exhaustive digest has never been attempted. Until now. Complete with illustrated tips, examples, and scenarios, 100 Tricks gives you actionable ways to use words like “actionable,” in order to sound smart. Every type of meeting is covered, from general meetings where you stopped paying attention almost immediately, to one-on-one meetings you zoned out on, to impromptu meetings you were painfully subjected to at the last minute. It’s all here. Open this book to any page and find an easy-to-digest trick with an even easier-to-digest illustration, guiding you on: how to nail the big meeting by pacing and nodding most effective ways to listen to your coworkers while still completely ignoring them the key to making your presentations “interactive.” If you hadn’t noticed these behaviors before, you will see them now—from your colleagues, your managers, and soon yourself. Each trick is a mirror to the reality of what happens in meetings, told in the form of hilariously bad advice—advice that you might just want to take. But probably not. But maybe.

Introduction to Partial Differential Equations with Applications

Author: E. C. Zachmanoglou,Dale W. Thoe

Publisher: Courier Corporation

ISBN: 048613217X

Category: Mathematics

Page: 432

View: 7491

This text explores the essentials of partial differential equations as applied to engineering and the physical sciences. Discusses ordinary differential equations, integral curves and surfaces of vector fields, the Cauchy-Kovalevsky theory, more. Problems and answers.

How Many Licks?

Or, How to Estimate Damn Near Anything

Author: Aaron Santos

Publisher: Running Press Adult

ISBN: 0762439181

Category: Mathematics

Page: 176

View: 2764

How many licks to the center of a Tootsie Pop? How many people are having sex at this moment? How long would it take a monkey on a typewriter to produce the plays of Shakespeare? For all those questions that keep you up at night, here's the way to answer them. And the beauty of it is that it's all approximate! Using Enrico Fermi's theory of approximation, Santos brings the world of numbers into perspective. For puzzle junkies and trivia fanatics, these 70 word puzzles will show the reader how to take a bit of information, add what they already know, and extrapolate an answer. Santos has done the impossible: make math and the multiple possibilities of numbers fun and informative. Can you really cry a river? Is it possible to dig your way out of jail with just a teaspoon and before your life sentence is up? Taking an academic subject and using it as the prism to view everyday off-the-wall questions as math problems to be solved is a natural step for the lovers of sudoku, cryptograms, word puzzles, and other thought-provoking games.

Logic, Sets, and Recursion

Author: Robert L. Causey

Publisher: Jones & Bartlett Learning

ISBN: 9780763737849

Category: Computers

Page: 512

View: 9954

The new Second Edition incorporates a wealth of exercise sets, allowing students to test themselves and review important topics discussed throughout the text."--Jacket.

A Certain Ambiguity

A Mathematical Novel

Author: Gaurav Suri,Hartosh Singh Bal

Publisher: Princeton University Press

ISBN: 9781400834778

Category: Fiction

Page: 296

View: 7354

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.

Tuxedo Park

A Wall Street Tycoon and the Secret Palace of Science That Changed the Course of World War II

Author: Jennet Conant

Publisher: Simon and Schuster

ISBN: 1476767297

Category: History

Page: 352

View: 1254

The untold story of an eccentric Wall Street tycoon and the circle of scientific geniuses he assembled before World War II to develop the science for radar and the atomic bomb. Together they changed the course of history. Legendary financier, philanthropist, and society figure Alfred Lee Loomis gathered the most visionary scientific minds of the twentieth century—Albert Einstein, Werner Heisenberg, Niels Bohr, Enrico Fermi, and others—at his state-of-the-art laboratory in Tuxedo Park, New York, in the late 1930s. He established a top-secret defense laboratory at MIT and personally bankrolled pioneering research into new, high-powered radar detection systems that helped defeat the German Air Force and U-boats. With Ernest Lawrence, the Nobel Prize–winning physicist, he pushed Franklin Delano Roosevelt to fund research in nuclear fission, which led to the development of the atomic bomb. Jennet Conant, the granddaughter of James Bryant Conant, one of the leading scientific advisers of World War II, enjoyed unprecedented access to Loomis’ papers, as well as to people intimately involved in his life and work. She pierces through Loomis’ obsessive secrecy and illuminates his role in assuring the Allied victory.

Two of Everything

Author: Lily Toy Hong

Publisher: Open Road Media

ISBN: 1497635934

Category: Juvenile Fiction

Page: 32

View: 727

When old Mr. Haktak digs up a curious brass pot in his garden, he has no idea what use it can be. On his way home, Mr. Haktak decides to carry his coin purse in the mysterious pot. But when Mrs. Haktak’s hairpin accidentally slips into the pot and she reaches in to retrieve it, the magic of the pot is revealed. Not only are there two hairpins inside, but there are also two purses!