Geometry: The Line and the Circle

Geometry: The Line and the Circle PDF Author: Maureen T. Carroll
Publisher: American Mathematical Soc.
ISBN: 1470448432
Category : Mathematics
Languages : en
Pages : 502

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Book Description
Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.

Geometry: The Line and the Circle

Geometry: The Line and the Circle PDF Author: Maureen T. Carroll
Publisher: American Mathematical Soc.
ISBN: 1470448432
Category : Mathematics
Languages : en
Pages : 502

Get Book Here

Book Description
Geometry: The Line and the Circle is an undergraduate text with a strong narrative that is written at the appropriate level of rigor for an upper-level survey or axiomatic course in geometry. Starting with Euclid's Elements, the book connects topics in Euclidean and non-Euclidean geometry in an intentional and meaningful way, with historical context. The line and the circle are the principal characters driving the narrative. In every geometry considered—which include spherical, hyperbolic, and taxicab, as well as finite affine and projective geometries—these two objects are analyzed and highlighted. Along the way, the reader contemplates fundamental questions such as: What is a straight line? What does parallel mean? What is distance? What is area? There is a strong focus on axiomatic structures throughout the text. While Euclid is a constant inspiration and the Elements is repeatedly revisited with substantial coverage of Books I, II, III, IV, and VI, non-Euclidean geometries are introduced very early to give the reader perspective on questions of axiomatics. Rounding out the thorough coverage of axiomatics are concluding chapters on transformations and constructibility. The book is compulsively readable with great attention paid to the historical narrative and hundreds of attractive problems.

The Circle and the Line

The Circle and the Line PDF Author: Eleanor Hughes
Publisher: Giles
ISBN: 9781911282778
Category : Antiques & Collectibles
Languages : en
Pages : 96

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Book Description
Presents 160 wonderful pieces by the modernist Baltimore-based jeweler, Betty Cooke (b 1924).

Three Lines in a Circle

Three Lines in a Circle PDF Author: Michael G. Long
Publisher: Presbyterian Publishing Corp
ISBN: 1646981960
Category : Juvenile Fiction
Languages : en
Pages : 0

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Book Description
One line straight down. One line to the right. One line to the left, then a circle. That was all—just three lines in a circle. This bold picture book tells the story of the peace symbol—designed in 1958 by a London activist protesting nuclear weapons—and how it inspired people all over the world. Depicting the symbol's travels from peace marches and liberation movements to the end of apartheid and the fall of the Berlin Wall, Three Lines in a Circle offers a message of inspiration to today's children and adults who are working to create social change. An author’s note provides historical background and a time line of late twentieth-century peace movements.

The Circle

The Circle PDF Author: Dave Eggers
Publisher: Vintage
ISBN: 0385351402
Category : Fiction
Languages : en
Pages : 404

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Book Description
INTERNATIONAL BESTSELLER • A bestselling dystopian novel that tackles surveillance, privacy and the frightening intrusions of technology in our lives—a “compulsively readable parable for the 21st century” (Vanity Fair). When Mae Holland is hired to work for the Circle, the world’s most powerful internet company, she feels she’s been given the opportunity of a lifetime. The Circle, run out of a sprawling California campus, links users’ personal emails, social media, banking, and purchasing with their universal operating system, resulting in one online identity and a new age of civility and transparency. As Mae tours the open-plan office spaces, the towering glass dining facilities, the cozy dorms for those who spend nights at work, she is thrilled with the company’s modernity and activity. There are parties that last through the night, there are famous musicians playing on the lawn, there are athletic activities and clubs and brunches, and even an aquarium of rare fish retrieved from the Marianas Trench by the CEO. Mae can’t believe her luck, her great fortune to work for the most influential company in the world—even as life beyond the campus grows distant, even as a strange encounter with a colleague leaves her shaken, even as her role at the Circle becomes increasingly public. What begins as the captivating story of one woman’s ambition and idealism soon becomes a heart-racing novel of suspense, raising questions about memory, history, privacy, democracy, and the limits of human knowledge.

A Treatise on the Circle and the Sphere

A Treatise on the Circle and the Sphere PDF Author: Julian Lowell Coolidge
Publisher:
ISBN:
Category : Circle
Languages : en
Pages : 603

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Book Description


Modern Geometry

Modern Geometry PDF Author: Clement Vavasor Durell
Publisher:
ISBN:
Category : Geometry, Modern
Languages : en
Pages : 168

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Book Description


Circle Round

Circle Round PDF Author: Anne Sibley O'Brien
Publisher: Charlesbridge Publishing
ISBN: 1632899299
Category : Juvenile Fiction
Languages : en
Pages : 32

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Book Description
A circle of children ask others to join in their play and soon find out that inclusion is irresistible! From the author of I'm New Here and Someone New comes an inspiring new story of inclusion. One child in a park waves over a second child. Two children then wave over a third. Counting from one to ten, a growing circle of children see new faces outside the group and invite them over. Children of different abilities, ages, genders, and races demonstrate how easy it can be to expand your group, extend yourself, and welcome new friends.

A Decade of the Berkeley Math Circle

A Decade of the Berkeley Math Circle PDF Author: Zvezdelina Stankova
Publisher: American Mathematical Soc.
ISBN: 0821846833
Category : Mathematics
Languages : en
Pages : 346

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Book Description
Many mathematicians have been drawn to mathematics through their experience with math circles: extracurricular programs exposing teenage students to advanced mathematical topics and a myriad of problem solving techniques and inspiring in them a lifelong love for mathematics. Founded in 1998, the Berkeley Math Circle (BMC) is a pioneering model of a U.S. math circle, aspiring to prepare our best young minds for their future roles as mathematics leaders. Over the last decade, 50 instructors--from university professors to high school teachers to business tycoons--have shared their passion for mathematics by delivering more than 320 BMC sessions full of mathematical challenges and wonders. Based on a dozen of these sessions, this book encompasses a wide variety of enticing mathematical topics: from inversion in the plane to circle geometry; from combinatorics to Rubik's cube and abstract algebra; from number theory to mass point theory; from complex numbers to game theory via invariants and monovariants. The treatments of these subjects encompass every significant method of proof and emphasize ways of thinking and reasoning via 100 problem solving techniques. Also featured are 300 problems, ranging from beginner to intermediate level, with occasional peaks of advanced problems and even some open questions. The book presents possible paths to studying mathematics and inevitably falling in love with it, via teaching two important skills: thinking creatively while still ``obeying the rules,'' and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way, but rarely gives you ready answers. ``Learning from our own mistakes'' often occurs through discussions of non-proofs and common problem solving pitfalls. The reader has to commit to mastering the new theories and techniques by ``getting your hands dirty'' with the problems, going back and reviewing necessary problem solving techniques and theory, and persistently moving forward in the book. The mathematical world is huge: you'll never know everything, but you'll learn where to find things, how to connect and use them. The rewards will be substantial. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

The Circle

The Circle PDF Author: Danielle Santiago
Publisher:
ISBN: 9780989926737
Category : African American women
Languages : en
Pages : 200

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Book Description
The Porters are a family of young goons who have mastered every aspect of the game. From robbery, to drugs, to extortion there is nothing that the infamous band of siblings haven't been involved in. WIth years in the game and a notorious reputation they run into trouble when they fall on the Feds radar. They devise a plan to escape to Mexico but they must split up to avoid arrest. Follow Fallon as she takes you on the run in this wild, treachery filled, street thriller.

The Circle Line

The Circle Line PDF Author: Ben Yallop
Publisher: CreateSpace
ISBN: 9781501027192
Category :
Languages : en
Pages : 272

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Book Description
Beneath the streets of London lie the tunnels of the world's oldest underground railway. But there is more in the darkness than just train tracks. Amidst the densely packed bones of the ancient plague pits are other lines, pathways to another world where other men live amongst the strange beasts which have become part of our folklore. And these other men have magic. Led by a malevolent king atop a mysterious throne how long before these sorcerers reveal themselves? It's all just a matter of time. With the sudden death of his grandfather Sam finds himself as the new owner of the ghostly house where he grew up. But it is not long before Sam finds himself running for his life with allies from another world, persecuted for a power he doesn't even possess. Persuaded to stage the desperate rescue of a man who holds an unbelievable secret Sam's quest takes him to London and on to America and Russia. Soon the truth behind the most enduring myths and legends of men is revealed and, as Sam discovers, sometimes the truth is far scarier than fiction. If the past can be affected then who can tell what the future might hold? 'The Circle Line' is the spellbinding first part of 'The Complex Throne' series.