Author: Moon Duchin
Publisher: Birkhäuser
ISBN: 9783319691602
Category : Mathematics
Languages : en
Pages : 436
Get Book Here
Book Description
“Why does my congressional district look like a salamander?” Politically engaged citizens have been asking this question for far too long. This volume collects perspectives from a wide cross-section of disciplines to explain what drives gerrymandering, why it can be hard to stamp out, and how we might go about fixing it. With topics ranging from the Voting Rights Act to Markov chains to the geography of communities, this book serves as a 21st century toolkit for how we can better approach this corrosive phenomenon. The volume editors gather experts from a variety of fields to provide as many different perspectives on gerrymandering as possible. Thanks to the breadth of expertise found across these chapters, ranging from lawyers to mathematicians to civil rights activists, readers will discover new ways of thinking about redistricting in the United States. Illustrations and helpful walkthroughs appear throughout to clearly explain otherwise complex ideas from these areas. Political Geometry is a must-have for anybody interested in political representation in the United States elections, and for anyone who’s ever thought, “There must be a better way to do this.”
Author: Jordan Ellenberg
Publisher: Penguin
ISBN: 1984879065
Category : Mathematics
Languages : en
Pages : 481
Get Book Here
Book Description
An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.
Author: Ian Bremmer
Publisher: Simon and Schuster
ISBN: 9780743293716
Category : Political Science
Languages : en
Pages : 320
Get Book Here
Book Description
Locate nations on the J Curve -- left for authoritarian, right for democratic. Then figure out how to force those on the left to open their societies, rather than encouraging them to shut them tighter by further isolating them. The West's isolation of Kim Jong-il's North Korea gives him the cover he needs to extend his brutal regime (the mistake the U.S. made for a long time with Saddam Hussein and Castro); in Saudi Arabia, western governments should encourage manageable change before the country breaks apart; they should help strengthen China's economy so it can further liberalize; they must encourage Israel to decide what kind of country it will be. Filled with imaginative and surprising examples of how to correct outworn political ideas, The J Curve points the way for western governments to lead the way to a realistic political balance and a healthier economic future.
Author: Remo Bodei
Publisher: University of Toronto Press
ISBN: 1487517793
Category : Philosophy
Languages : en
Pages : 516
Get Book Here
Book Description
The passions have long been condemned as a creator of disturbance and purveyor of the temporary loss of reason, but as Remo Bodei argues in Geometry of the Passions, we must abandon the perception that order and disorder are in a constant state of collision. By means of a theoretical and historical analysis, Bodei interprets the relationship between passion and reason as a conflict between two complementary logics. Geometry of the Passions investigates the paradoxical conflict-collaboration between passions and reason, and between individual and political projects. Tracing the roles passion and reason have played throughout history, including in the political agendas of Descartes, Hobbes, and the French Jacobins, Geometry of the Passions reveals how passion and reason may be used as a vehicle for affirmation rather than self-enslavement.
Author: Harold Abelson
Publisher: MIT Press
ISBN: 9780262510370
Category : Computers
Languages : en
Pages : 502
Get Book Here
Book Description
Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates.
Author: Peter Gardenfors
Publisher: MIT Press
ISBN: 9780262572194
Category : Psychology
Languages : en
Pages : 324
Get Book Here
Book Description
Within cognitive science, two approaches currently dominate the problem of modeling representations. The symbolic approach views cognition as computation involving symbolic manipulation. Connectionism, a special case of associationism, models associations using artificial neuron networks. Peter Gärdenfors offers his theory of conceptual representations as a bridge between the symbolic and connectionist approaches. Symbolic representation is particularly weak at modeling concept learning, which is paramount for understanding many cognitive phenomena. Concept learning is closely tied to the notion of similarity, which is also poorly served by the symbolic approach. Gärdenfors's theory of conceptual spaces presents a framework for representing information on the conceptual level. A conceptual space is built up from geometrical structures based on a number of quality dimensions. The main applications of the theory are on the constructive side of cognitive science: as a constructive model the theory can be applied to the development of artificial systems capable of solving cognitive tasks. Gärdenfors also shows how conceptual spaces can serve as an explanatory framework for a number of empirical theories, in particular those concerning concept formation, induction, and semantics. His aim is to present a coherent research program that can be used as a basis for more detailed investigations.
Author: Jordan Ellenberg
Publisher: Penguin
ISBN: 1984879073
Category : Mathematics
Languages : en
Pages : 481
Get Book Here
Book Description
An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections to better pandemic planning.” —The New York Times From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything. How should a democracy choose its representatives? How can you stop a pandemic from sweeping the world? How do computers learn to play Go, and why is learning Go so much easier for them than learning to read a sentence? Can ancient Greek proportions predict the stock market? (Sorry, no.) What should your kids learn in school if they really want to learn to think? All these are questions about geometry. For real. If you're like most people, geometry is a sterile and dimly remembered exercise you gladly left behind in the dust of ninth grade, along with your braces and active romantic interest in pop singers. If you recall any of it, it's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face. Geometry asks: Where are things? Which things are near each other? How can you get from one thing to another thing? Those are important questions. The word "geometry"comes from the Greek for "measuring the world." If anything, that's an undersell. Geometry doesn't just measure the world—it explains it. Shape shows us how.
Author: Ernst Mach
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 164
Get Book Here
Book Description
Author: Iowa. General Assembly
Publisher:
ISBN:
Category : Iowa
Languages : en
Pages : 1122
Get Book Here
Book Description
Contains the reports of state departments and officials for the preceding fiscal biennium.
Author: Irving Adler
Publisher: Courier Corporation
ISBN: 0486320499
Category : Mathematics
Languages : en
Pages : 420
Get Book Here
Book Description
Richly detailed survey of the evolution of geometrical ideas and development of concepts of modern geometry: projective, Euclidean, and non-Euclidean geometry; role of geometry in Newtonian physics, calculus, relativity. Over 100 exercises with answers. 1966 edition.
