Shape

Shape
Author: Jordan Ellenberg
Publisher: Penguin
Total Pages: 481
Release: 2021-05-25
Genre: Mathematics
ISBN: 1984879065

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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.

Differential Equations and Linear Algebra

Differential Equations and Linear Algebra
Author: Gilbert Strang
Publisher: Wellesley-Cambridge Press
Total Pages: 0
Release: 2015-02-12
Genre: Mathematics
ISBN: 9780980232790

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Differential equations and linear algebra are two central topics in the undergraduate mathematics curriculum. This innovative textbook allows the two subjects to be developed either separately or together, illuminating the connections between two fundamental topics, and giving increased flexibility to instructors. It can be used either as a semester-long course in differential equations, or as a one-year course in differential equations, linear algebra, and applications. Beginning with the basics of differential equations, it covers first and second order equations, graphical and numerical methods, and matrix equations. The book goes on to present the fundamentals of vector spaces, followed by eigenvalues and eigenvectors, positive definiteness, integral transform methods and applications to PDEs. The exposition illuminates the natural correspondence between solution methods for systems of equations in discrete and continuous settings. The topics draw on the physical sciences, engineering and economics, reflecting the author's distinguished career as an applied mathematician and expositor.

Rads

Rads
Author: Tom Bates
Publisher: HarperCollins Publishers
Total Pages: 520
Release: 1992
Genre: History
ISBN:

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An electrifying and intensely involving history of the apocalyptic end of the antiwar movement, told through the story of the 1970 bombing of the Army Math Research Center at the University of Wisconsin and the man who masterminded it.

Mathematical Statistics

Mathematical Statistics
Author: Jun Shao
Publisher: Springer Science & Business Media
Total Pages: 607
Release: 2008-02-03
Genre: Mathematics
ISBN: 0387217185

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This graduate textbook covers topics in statistical theory essential for graduate students preparing for work on a Ph.D. degree in statistics. This new edition has been revised and updated and in this fourth printing, errors have been ironed out. The first chapter provides a quick overview of concepts and results in measure-theoretic probability theory that are useful in statistics. The second chapter introduces some fundamental concepts in statistical decision theory and inference. Subsequent chapters contain detailed studies on some important topics: unbiased estimation, parametric estimation, nonparametric estimation, hypothesis testing, and confidence sets. A large number of exercises in each chapter provide not only practice problems for students, but also many additional results.

The Impact of Reform Instruction on Student Mathematics Achievement

The Impact of Reform Instruction on Student Mathematics Achievement
Author: Thomas A. Romberg
Publisher: Routledge
Total Pages: 198
Release: 2008-08-15
Genre: Education
ISBN: 1135855706

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Summarizing data derived from a study of the implementation of one standards-based middle school curriculum program, Mathematics in Context, this book demonstrates the challenges of conducting comparative longitudinal research in the reality of school life.

Wisconsin Math!

Wisconsin Math!
Author: Carole Marsh
Publisher: Carole Marsh Books
Total Pages: 60
Release: 1996-09
Genre:
ISBN: 0793366348

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Shape

Shape
Author: Jordan Ellenberg
Publisher: Penguin Books Limited
Total Pages: 0
Release: 2022
Genre: Mathematics
ISBN: 9780141991511

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"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. Geometry doesn't just measure the world--it explains it. Shape shows us how"--