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How Not to Be Wrong: The Power of Mathematical Thinking

por Jordan Ellenberg

The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands

The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us how terribly limiting this view is: Math isn’t confined to abstract incidents that never occur in real life, but rather touches everything we do—the whole world is shot through with it.
Math allows us to see the hidden structures underneath the messy and chaotic surface of our world. It’s a science of not being wrong, hammered out by centuries of hard work and argument. Armed with the tools of mathematics, we can see through to the true meaning of information we take for granted: How early should you get to the airport? What does “public opinion” really represent? Why do tall parents have shorter children? Who really won Florida in 2000? And how likely are you, really, to develop cancer?

How Not to Be Wrong presents the surprising revelations behind all of these questions and many more, using the mathematician’s method of analyzing life and exposing the hard-won insights of the academic community to the layman—minus the jargon. Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia’s views on crime and punishment, the psychology of slime molds, what Facebook can and can’t figure out about you, and the existence of God.

Ellenberg pulls from history as well as from the latest theoretical developments to provide those not trained in math with the knowledge they need. Math, as Ellenberg says, is “an atomic-powered prosthesis that you attach to your common sense, vastly multiplying its reach and strength.” With the tools of mathematics in hand, you can understand the world in a deeper, more meaningful way. How Not to Be Wrong will show you how.

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Marked: A House of Night Novel

por P. C. Cast

Enter the dark, magical world of the House of Night, a world very much like our own, except here vampyres have always existed.

One minute, sixteen-year-old Zoey Redbird is a normal teenager dealing with everyday high school stress: her cute boyfriend Heath, the school's star quarterback who suddenly seems more interested in partying than playing ball; her nosy frenemy Kayla, who's way too concerned with how things are going with Heath; her uber-tough geometry test tomorrow. The next, she's Marked as a fledgling vampyre, forcing her to leave her ordinary life behind and join the House of Night, a boarding school where she will train to become an adult vampyre. That is, if she makes it through the Change—and not all of those who are Marked do. It sucks to begin a new life, especially away from her friends, and on top of that, Zoey is no average fledgling. She has been chosen as special by the vampyre Goddess, Nyx. Zoey discovers she has amazing powers, but along with her powers come bloodlust and an unfortunate ability to Imprint with Heath, who just doesn't know how to take "no" for an answer. To add to her stress, she is not the only fledgling at the House of Night with special powers: when she discovers that the leader of the Dark Daughters, the school's most elite group, is misusing her Goddess-given gifts, Zoey must look deep within herself for the courage to embrace her destiny—with a little help from her new vampyre friends.

Marked is a fabulous start to a hot young adult series by award-winning author P.C. Cast and her daughter, Kristin Cast

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The Dreams in the Witch House

por H.P. Lovecraft

"The Dreams in the Witch House" is a horror short story by American writer H. P. Lovecraft, part of the Cthulhu Mythos cycle. Written in January/February 1932, it was first published in the July 1933 issue of Weird Tales.
Walter Gilman, a student of mathematics and folklore at Miskatonic University, rents an attic room in the "Witch House", a house in Arkham, Massachusetts that is rumored to be cursed. The house once harboured Keziah Mason, an accused witch who disappeared mysteriously from a Salem jail in 1692. Gilman discovers that, for the better part of two centuries, many of the attic's occupants have died prematurely. The dimensions of Gilman's attic room are unusual and seem to conform to a kind of unearthly geometry. Gilman theorizes that the structure can enable travel from one plane or dimension to another.
Gilman begins experiencing bizarre dreams in which he seems to float without physical form through an otherworldly space of unearthly geometry and indescribable colors and sounds. Among the elements, both organic and inorganic, he perceives shapes that he innately recognizes as entities which appear and disappear instantaneously and at random. Several times, his dreaming-self encounters bizarre clusters of "iridescent, prolately spheroidal bubbles", as well as a rapidly changing polyhedral-figure, both of which appear sapient. Gilman also has nightly experiences involving Keziah and her rat-bodied, human-faced familiar, Brown Jenkin, which he believes are not dreams at all. In other dreams, Gilman is taken to a city of the "Elder Things" and even brings back evidence that he has actually been there—a miniature statue of an "Elder Thing" which he breaks off from a balustrade within the city. The statue is made of unknown materials and a strange kind of alloy...
Famous works of the author Howard Phillips Lovecraft: At the Mountains of Madness, The Dreams in the Witch House, The Horror at Red Hook, The Shadow Out of Time, The Shadows over Innsmouth, The Alchemist, Reanimator, Ex Oblivione, Azathoth, The Call of Cthulhu, The Cats of Ulthar, The Dunwich Horror, The Doom that Came to Sarnath, The Festival, The Silver Key, The Other Gods, The Outsider, The Temple, The Picture in the House, The Shunned House, The Terrible Old Man, The Tomb, Dagon, From Beyond, What the Moon Brings.

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All About Geometry: Little World Math Concepts

por Joyce Markovics

Teaches young students about basic concepts of geometry, such as angles and planes.

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The Sacred Geometry of Our Cells

por Sondra Barrett, Ph.D.

Cells can only thrive in community; they need to connect with one another, and will call on each other as allies. And, when a cell needs a certain molecule, it actually embraces that molecule; it actually reaches out and hugs the molecule. This embrace is a universal principle of design.
Sondra Barrett speaks of the sacredness of our cells related to how humans evolved. “The divine spark needs a container. I began thinking, God had to be a biochemist, because how do you build the container? In one of the theories we were mud or we were hot seawater. To form the container the molecules had to come together (these fatty hydrocarbons) like mixing salad oil with water. You get droplets that contain some salt water. So way back when, in the molecular evolution of our cells, there had to be the container that creates a sanctuary. Since it is my inclination to translate [what I see] into sacred correspondences, I’m talking about life needing a place and that place is a sanctuary. [That, then begs the question] where do we create sanctuary in our own life?”
This dialogue is a blending of the scientific study of cells with the mystical mystery they contain. We learn how they can be our teachers. (hosted by Justine Willis Toms)

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Gunpowder and Geometry: The Life of Charles Hutton, Pit Boy, Mathematician and Scientific Rebel

por Benjamin Wardhaugh

August, 1755. Newcastle, on the north bank of the Tyne.
In the fields, men and women are getting the harvest in. Sunlight, or rain. Scudding clouds and backbreaking labour. Three hundred feet underground, young Charles Hutton is at the coalface. Cramped, dust-choked, wielding a five-pound pick by candlelight. Eighteen years old, he’s been down the pits on and off for more than a decade, and now it looks like a life sentence. No unusual story, although Charles is a clever lad – gifted at maths and languages – and for a time he hoped for a different life. Many hoped.
Charles Hutton, astonishingly, would actually live the life he dreamed of. Twenty years later you’d have found him in Slaughter’s coffee house in London, eating a few oysters with the President of the Royal Society.
By the time he died, in 1823, he was a fellow of scientific academies in four countries, while the Lord Chancellor of England counted himself fortunate to have known him. Hard work, talent, and no small share of luck would take Charles Hutton out of the pit to international fame, wealth, admiration and happiness. The pit-boy turned professor would become one of the most revered British scientists of his day. This book is his incredible story.

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The Geometry of Sisters

por Luanne Rice

What is one sister without the other? Is it even possible to imagine?

New York Times bestselling author Luanne Rice explores the complex emotional equations of love and loyalty that hold together three pairs of remarkable sisters. Here in the halls of Newport Academy, a unique private school that has attracted generations of rebels, outcasts, and visionaries, an unforgettable lesson in the eternal truths of sisterhood is about to begin….

After years away, Maura Shaw has returned to Newport, Rhode Island, to teach English at the academy. Behind her lies her life as the perfect Midwestern wife and mother, a life that seemed on the surface to be all she had ever wished for. That illusion vanished in a storm off Mackinac Island in the wake of an accident that engulfed Maura’s husband and her older daughter, Carrie. Now, with her son and younger daughter, she hopes to find a new beginning.

Newport has never failed to infuse Maura with a sense of mystery and hope. But for fourteen-year-old Beck, the move is a painful upheaval from everything she has ever loved—especially her sister, Carrie. Ever since her sister disappeared, Beck has retreated into the world of mathematics, where principles are permanent, unlike so many other things in life. Without Carrie, Beck has lost half of herself—the half that would have fit in at the elite private school she and her brother, Travis, will now attend. The half that made things right. Still, Beck clings to the hope that her sister will return to them.

Beck isn’t alone in her struggle to adjust. At sixteen, Travis is juggling a long-distance first love and an attraction to an expensive-looking girl with a wicked sparkle in her eye. And for Maura, ghosts linger here—an unresolved breach with her own beloved sister and a long-ago secret that may now have the power to set her free….

Set against the breathtaking beauty of the New England coast at its most dramatic, populated by a cast of indelible characters, The Geometry of Sisters is Luanne Rice at her most compelling, a dazzling world to which readers will want to return again and again.

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The Geometry of Holding Hands

por Alexander McCall Smith

Isabel Dalhousie finds herself entangled in some tricky familial and financial situations that will require all of her kindness, charm and philosophical expertise to navigate. Just when Isabel and Jamie finally seem to have some time to connect and unwind, a wealthy Edinburgh resident reaches out to Isabel with an unusual request—he would like her to become the executor of his large Highland estate. Though Isabel initially demurs, he presses on. He has only a short time to live and, without any direct heirs, is struggling to determine which of his three cousins would be the best caretaker. Should the estate go to the bohemian artist, the savvy city property developer, or the quiet, unassuming bachelor? And if this weren’t enough to keep Isabel occupied, she’s also spending more time helping her niece, Cat, at the deli. Cat, perennially unlucky in love, appears to have finally found her match in the leonine Leo. But Isabel is beginning to suspect that Leo might be interested in more than Cat’s charms—namely, her access to the family trust. Isabel will need to rely upon her remarkable reserves of intelligence and compassion in order to give all parties exactly what they want and deserve—no more and no less.

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Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else

por Jordan Ellenberg

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," 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.

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The Shape of a Life: One Mathematician’s Search for the Universe’s Hidden Geometry

por Shing-Tung Yau

A Fields medalist recounts his lifelong transnational effort to uncover the geometric shape—the Calabi-Yau manifold—that may store the hidden dimensions of our universe.
Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. Beginning with an impoverished childhood in China and Hong Kong, Yau takes readers through his doctoral studies at Berkeley during the height of the Vietnam War protests, his Fields Medal–winning proof of the Calabi conjecture, his return to China, and his pioneering work in geometric analysis. This new branch of geometry, which Yau built up with his friends and colleagues, has paved the way for solutions to several important and previously intransigent problems. With complicated ideas explained for a broad audience, this book offers listeners not only insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

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Euclid's Elements of Geometry - Richard Fitzpatrick

The Elements consists of thirteen books. Book 1 outlines the fundamental propositions of plane geometry, includ- ing the three cases in which triangles are ...
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Ron Larson Laurie Boswell Lee Stiff

Geometry brings math to life with many real-life applications. The cover illustrates some of the applications used in this book. Examples of mathematics in ...
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THE RISING SEA Foundations of Algebraic Geometry

When working through a book in algebraic geometry, it is particularly helpful to have other algebraic geometry books at hand, ...
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A List of Recommended Books in Topology

— A geometric introduction by the master. Also useful for the geometry of surfaces. • A Hatcher. Basic Topology of 3-Manifolds. Unpublished notes available ...
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containing the first six books of Euclid, 7th edition, 1826 - The ...

CONTAINING. THE FIRST SIX BOOKS OF EUCLID,. WITH A. SUPPLEMENT. ON THE. QUADRATURE OF THE CIRCLE AND THE. GEOMETRY OF SOLIDS ;. TO WHICH ARE ADDED,.
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INTRODUCTION TO DIFFERENTIAL GEOMETRY

mental problem of differential geometry: When are two manifolds ... The logical progression of the book up to this point is linear in that.
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Geometry and Billiards Serge Tabachnikov - Personal.psu.edu

The books in the collection will be based on lecture notes for ... ential geometry, topology, etc., will benefit from the book (it goes.
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Download Book \\ Revolutions of Geometry

additional information which are related to REVOLUTIONS OF GEOMETRY: SOLUTIONS MANUAL. TO ACCOMPANY REVOLUTIONS IN GEOMETRY (PAPERBACK) book.
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An Elementary Introduction to Modern Convex Geometry

Bollobás, on rapid mixing and random volume algorithms; they are found elsewhere in this book. The material discussed in these notes is not, for the most part, ...
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