The Moment of Proof Book

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The Moment of Proof

By Donald C. Benson
  • ISBN Code: : 0198027745
  • Publisher : Oxford University Press
  • Pages : 352
  • Category : Mathematics
  • Reads : 610
  • Book Compatibility : Pdf, ePub, Mobi, Kindle
  • Pdf : the-moment-of-proof.pdf

Book Excerpt :

When Archimedes, while bathing, suddenly hit upon the principle of buoyancy, he ran wildly through the streets of Syracuse, stark naked, crying "eureka!" In The Moment of Proof, Donald Benson attempts to convey to general readers the feeling of eureka--the joy of discovery--that mathematicians feel when they first encounter an elegant proof. This is not an introduction to mathematics so much as an introduction to the pleasures of mathematical thinking. And indeed the delights of this book are many and varied. The book is packed with intriguing conundrums--Loyd's Fifteen Puzzle, the Petersburg Paradox, the Chaos Game, the Monty Hall Problem, the Prisoners' Dilemma--as well as many mathematical curiosities. We learn how to perform the arithmetical proof called "casting out nines" and are introduced to Russian peasant multiplication, a bizarre way to multiply numbers that actually works. The book shows us how to calculate the number of ways a chef can combine ten or fewer spices to flavor his soup (1,024) and how many people we would have to gather in a room to have a 50-50 chance of two having the same birthday (23 people). But most important, Benson takes us step by step through these many mathematical wonders, so that we arrive at the solution much the way a working scientist would--and with much the same feeling of surprise. Every fan of mathematical puzzles will be enthralled by The Moment of Proof. Indeed, anyone interested in mathematics or in scientific discovery in general will want to own this book.

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Read and download full book Nearsighted Justice

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Book Short Summary:

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  • Pdf File: conjecture-and-proof.pdf

Book Short Summary:

The Budapest semesters in mathematics were initiated with the aim of offering undergraduate courses that convey the tradition of Hungarian mathematics to English-speaking students. This book is an elaborate version of the course on Conjecture and Proof. It gives miniature introductions to various areas of mathematics by presenting some interesting and important, but easily accessible results and methods. The text contains complete proofs of deep results such as the transcendence of $e$, the Banach-Tarski paradox and the existence of Borel sets of arbitrary (finite) class. One of the purposes is to demonstrate how far one can get from the first principles in just a couple of steps. Prerequisites are kept to a minimum, and any introductory calculus course provides the necessary background for understanding the book. Exercises are included for the benefit of students. However, this book should prove fascinating for any mathematically literate reader.

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  • Pdf File: technologies-of-speculation.pdf

Book Short Summary:

An inquiry into what we can know in an age of surveillance and algorithms Knitting together contemporary technologies of datafication to reveal a broader, underlying shift in what counts as knowledge, Technologies of Speculation reframes today’s major moral and political controversies around algorithms and artificial intelligence. How many times we toss and turn in our sleep, our voluminous social media activity and location data, our average resting heart rate and body temperature: new technologies of state and self-surveillance promise to re-enlighten the black boxes of our bodies and minds. But Sun-ha Hong suggests that the burden to know and to digest this information at alarming rates is stripping away the liberal subject that ‘knows for themselves’, and risks undermining the pursuit of a rational public. What we choose to track, and what kind of data is extracted from us, shapes a society in which my own experience and sensation is increasingly overruled by data-driven systems. From the rapidly growing Quantified Self community to large-scale dragnet data collection in the name of counter-terrorism and drone warfare, Hong argues that data’s promise of objective truth results in new cultures of speculation. In his analysis of the Snowden affair, Hong demonstrates an entirely new way of thinking through what we could know, and the political and philosophical stakes of the belief that data equates to knowledge. When we simply cannot process all the data at our fingertips, he argues, we look past the inconvenient and the complicated to favor the comprehensible. In the process, racial stereotypes and other longstanding prejudices re-enter our newest technologies by the back door. Hong reveals the moral and philosophical equations embedded into the algorithmic eye that now follows us all.

Offer of Proof

By Robert Heilbrun
  • File : Pdf, ePub, Mobi, Kindle
  • Publisher : Harper Collins
  • Book Code : 9780061900112
  • Total of Pages : 384
  • Category : Fiction
  • Members : 723
  • Pdf File: offer-of-proof.pdf

Book Short Summary:

A riveting thriller, the debut novel of a high–profile Manhattan public defender with a gift for writing about the law in ways that are vastly entertaining, witty, sardonic and wise. A beautiful young businesswoman is murdered on the streets of New York after shopping for art in Chelsea, and in her final words to the police, she identifies her assailant. Or does she? Arch Gold, dedicated public defender, gets the biggest case of his life when he's assigned to represent the accused killer, Damon Tucker, a young black kid from Harlem. Damon claims he's innocent, and Gold puts his reputation on the line to save his client and find the real killer.

Fluid Mechanics

By Gregory Falkovich
  • File : Pdf, ePub, Mobi, Kindle
  • Publisher : Cambridge University Press
  • Book Code : 9781139497510
  • Total of Pages : 167
  • Category : Science
  • Members : 176
  • Pdf File: fluid-mechanics.pdf

Book Short Summary:

The multidisciplinary field of fluid mechanics is one of the most actively developing fields of physics, mathematics and engineering. In this book, the fundamental ideas of fluid mechanics are presented from a physics perspective. Using examples taken from everyday life, from hydraulic jumps in a kitchen sink to Kelvin–Helmholtz instabilities in clouds, the book provides readers with a better understanding of the world around them. It teaches the art of fluid-mechanical estimates and shows how the ideas and methods developed to study the mechanics of fluids are used to analyze other systems with many degrees of freedom in statistical physics and field theory. Aimed at undergraduate and graduate students, the book assumes no prior knowledge of the subject and only a basic understanding of vector calculus and analysis. It contains 32 exercises of varying difficulties, from simple estimates to elaborate calculations, with detailed solutions to help readers understand fluid mechanics.


By Gregory Koukl
  • File : Pdf, ePub, Mobi, Kindle
  • Publisher : Zondervan
  • Book Code : 0310574757
  • Total of Pages : 208
  • Category : Religion
  • Members : 414
  • Pdf File: tactics.pdf

Book Short Summary:

In a world indifferent or even opposed to Christian truth, followers of Christ must be better equipped to communicate the timeless of the Christian faith. But how do you have a conversation with someone who is intent on proving you wrong and won't accept the Bible as a source of authority? In Tactics, Gregory Koukl demonstrates how to artfully regain control of conversations, keeping them moving forward in constructive ways through thoughtful diplomacy. You'll learn how to maneuver comfortably and graciously through the minefields of a challenging discussion, how to stop challengers in their tracks, and how to turn the tables on question or provocative statement. Most importantly, you'll learn how to get people thinking about Jesus. Drawing on extensive experience defending Christianity in the public square, Koukl shows you how to: Initiate conversations effortlessly Present the truth clearly, cleverly, and persuasively Graciously and effectively expose faulty thinking Skillfully manage the details of dialogue Maintain an engaging, disarming style even under attack Tactics provides the game plan for communicating the compelling truth about Christianity with confidence and grace. X

Game Theory, Alive

By Anna R. Karlin,Yuval Peres
  • File : Pdf, ePub, Mobi, Kindle
  • Publisher : American Mathematical Soc.
  • Book Code : 1470419823
  • Total of Pages : 372
  • Category : Game theory
  • Members : 368
  • Pdf File: game-theory-alive.pdf

Book Short Summary:

We live in a highly connected world with multiple self-interested agents interacting and myriad opportunities for conflict and cooperation. The goal of game theory is to understand these opportunities. This book presents a rigorous introduction to the mathematics of game theory without losing sight of the joy of the subject. This is done by focusing on theoretical highlights (e.g., at least six Nobel Prize winning results are developed from scratch) and by presenting exciting connections of game theory to other fields such as computer science (algorithmic game theory), economics (auctions and matching markets), social choice (voting theory), biology (signaling and evolutionary stability), and learning theory. Both classical topics, such as zero-sum games, and modern topics, such as sponsored search auctions, are covered. Along the way, beautiful mathematical tools used in game theory are introduced, including convexity, fixed-point theorems, and probabilistic arguments. The book is appropriate for a first course in game theory at either the undergraduate or graduate level, whether in mathematics, economics, computer science, or statistics. The importance of game-theoretic thinking transcends the academic setting—for every action we take, we must consider not only its direct effects, but also how it influences the incentives of others.

Ender's Game

By Orson Scott Card
  • File : Pdf, ePub, Mobi, Kindle
  • Publisher : Macmillan
  • Book Code : 142996393X
  • Total of Pages : 256
  • Category : Fiction
  • Members : 128
  • Pdf File: ender-s-game.pdf

Book Short Summary:

Orson Scott Card's Ender's Game is the winner of the Nebula and Hugo Awards In order to develop a secure defense against a hostile alien race's next attack, government agencies breed child geniuses and train them as soldiers. A brilliant young boy, Andrew "Ender" Wiggin lives with his kind but distant parents, his sadistic brother Peter, and the person he loves more than anyone else, his sister Valentine. Peter and Valentine were candidates for the soldier-training program but didn't make the cut—young Ender is the Wiggin drafted to the orbiting Battle School for rigorous military training. Ender's skills make him a leader in school and respected in the Battle Room, where children play at mock battles in zero gravity. Yet growing up in an artificial community of young soldiers Ender suffers greatly from isolation, rivalry from his peers, pressure from the adult teachers, and an unsettling fear of the alien invaders. His psychological battles include loneliness, fear that he is becoming like the cruel brother he remembers, and fanning the flames of devotion to his beloved sister. Is Ender the general Earth needs? But Ender is not the only result of the genetic experiments. The war with the Buggers has been raging for a hundred years, and the quest for the perfect general has been underway for almost as long. Ender's two older siblings are every bit as unusual as he is, but in very different ways. Between the three of them lie the abilities to remake a world. If, that is, the world survives. Ender's Game is the winner of the 1985 Nebula Award for Best Novel and the 1986 Hugo Award for Best Novel. THE ENDER UNIVERSE Ender series Ender’s Game / Ender in Exile / Speaker for the Dead / Xenocide / Children of the Mind Ender’s Shadow series Ender’s Shadow / Shadow of the Hegemon / Shadow Puppets / Shadow of the Giant / Shadows in Flight Children of the Fleet The First Formic War (with Aaron Johnston) Earth Unaware / Earth Afire / Earth Awakens The Second Formic War (with Aaron Johnston) The Swarm /The Hive Ender novellas A War of Gifts /First Meetings At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

The Future of Finance

By Henri Arslanian,Fabrice Fischer
  • File : Pdf, ePub, Mobi, Kindle
  • Publisher : Springer
  • Book Code : 3030145336
  • Total of Pages : 312
  • Category : Business & Economics
  • Members : 467
  • Pdf File: the-future-of-finance.pdf

Book Short Summary:

This book, written jointly by an engineer and artificial intelligence expert along with a lawyer and banker, is a glimpse on what the future of the financial services will look like and the impact it will have on society. The first half of the book provides a detailed yet easy to understand educational and technical overview of FinTech, artificial intelligence and cryptocurrencies including the existing industry pain points and the new technological enablers. The second half provides a practical, concise and engaging overview of their latest trends and their impact on the future of the financial services industry including numerous use cases and practical examples. The book is a must read for any professional currently working in finance, any student studying the topic or anyone curious on how the future of finance will look like.


By Scott Turow
  • File : Pdf, ePub, Mobi, Kindle
  • Publisher : Grand Central Publishing
  • Book Code : 1538706350
  • Total of Pages : 468
  • Category : Fiction
  • Members : 626
  • Pdf File: suspect.pdf

Book Short Summary:

The #1 New York Times bestselling author of Presumed Innocent and The Last Trial returns with a riveting legal thriller in which a reckless private detective is embroiled in a fraught police scandal. For as long as Lucia Gomez has been the police chief in the city of Highland Isle, near Kindle County, she has known that any woman in law enforcement must walk a precarious line between authority and camaraderie to gain respect. She has maintained a spotless reputation—until now. Three male police officers have accused her of soliciting sex in exchange for promotions to higher ranks. With few people left who she can trust, Chief Gomez turns to an old friend, Rik Dudek, to act as her attorney in the federal grand jury investigation, insisting to Rik that the accusations against her are part of an ugly smear campaign designed to destroy her career and empower her enemies—both outside the police force and within.. Clarice “Pinky” Granum spent most of her youth experimenting with an impressive array of drugs and failing out of various professions, including the police academy. Pinky knows that in the eyes of most people, she's nothing but a screwup—but she doesn't trust most people's opinions anyway. Moreover, she finally has a respectable-enough job as a licensed P.I. working for Rik on his roster of mostly minor cases, like workman's comp, DUIs and bar fights. Rik's shabby office and even shabbier cases are a far cry from the kinds of high-profile criminal matters Pinky became familiar with in the law office of her grandfather, Sandy Stern. But Rik and Pinky feel that Chief Gomez’s case, which has attracted national attention, is their chance to break into the legal big leagues. Guided by her gut instinct and razor-sharp investigative skills, Pinky dives headfirst into a twisted scandal that will draw her into the deepest recesses of the city’s criminal networks, as well as the human mind. But she will need every scrap of tenacity and courage to unravel the dark secrets those closest to her are determined to keep hidden.

The Game of Humor

By Charles R. Gruner
  • File : Pdf, ePub, Mobi, Kindle
  • Publisher : Routledge
  • Book Code : 1351482386
  • Total of Pages : 226
  • Category : Social Science
  • Members : 648
  • Pdf File: the-game-of-humor.pdf

Book Short Summary:

Humor, wit, and laughter surround each person. From everyday quips to the carefully contrived comedy of literature, newspapers, and television we experience humor in many forms, yet the impetus for our laughter is far from innocuous. Misfortune, stupidity, and moral or cultural defects, however faintly revealed in others and ourselves, seem to make us laugh. Although discomforting, such negative terms as superiority, aggression, hostility, ridicule, or degradation can be applied to instances of humor. According to scholars, Thomas Hobbes's "superiority theory"that humor arises from mischances, infirmities, and indecencies, where there is no wit at allapplies to most humor. With the exception of good-natured play, Charles R. Gruner claims that humor is rarely as innocent as it first appears.Gruner's proposed superiority theory of humor is all-encompassing. In The Game of Humor, he expands the scope of Hobbes's theory to include and explore the contest aspect of "good-natured" play. As such, the author believes all instances of humor can be examined as games, in terms of competition and keeping scorewinners and losers. Gruner draws on a broad spectrum of thought-provoking examples. Holocaust jokes, sexual humor, the racialist dialogue of such comic characters as Stepin Fetchit and Archie Bunker, simple puns, and many of the author's own encounters with everyday humor. Gruner challenges the reader to offer a single example of humor that cannot be "de-humorized" by its agonistic nature.The Game of Humor makes intriguing and enjoyable reading for people interested in humor and the aspects of human motivation. This book will also be valuable to professionals in communication and information studies, sociologists, literary critics and linguists, and psychologists concerned with the conflicts and tensions of everyday life.

The Game of Cops and Robbers on Graphs

By Anthony Bonato
  • File : Pdf, ePub, Mobi, Kindle
  • Publisher : American Mathematical Soc.
  • Book Code : 0821853473
  • Total of Pages : 276
  • Category : Mathematics
  • Members : 409
  • Pdf File: the-game-of-cops-and-robbers-on-graphs.pdf

Book Short Summary:

This book is the first and only one of its kind on the topic of Cops and Robbers games, and more generally, on the field of vertex pursuit games on graphs. The book is written in a lively and highly readable fashion, which should appeal to both senior undergraduates and experts in the field (and everyone in between). One of the main goals of the book is to bring together the key results in the field; as such, it presents structural, probabilistic, and algorithmic results on Cops and Robbers games. Several recent and new results are discussed, along with a comprehensive set of references. The book is suitable for self-study or as a textbook, owing in part to the over 200 exercises. The reader will gain insight into all the main directions of research in the field and will be exposed to a number of open problems.

Proof of Life

By Daniel Levin
  • File : Pdf, ePub, Mobi, Kindle
  • Publisher : Algonquin Books
  • Book Code : 1643751751
  • Total of Pages : 288
  • Category : Political Science
  • Members : 401
  • Pdf File: proof-of-life.pdf

Book Short Summary:

“Riveting . . . Well-written and highly compelling."—Wall Street Journal ​“Truly thrilling. Daniel Levin brilliantly conveys both the menace and the evil of Middle Eastern intrigue, and some victories of human kindness over cruelty and despair.”—Daniel Kahneman, New York Times bestselling author of Thinking, Fast and Slow Daniel Levin was in his New York office when he got a call from an acquaintance with an urgent, cryptic request to meet in Paris. A young man had gone missing in Syria. No government, embassy, or intelligence agency would help. Could he? Would he? So begins a suspenseful, shocking, and at times brutal true story of one man’s search to find a miss­ing person in Syria over twenty tense days. Levin, a lawyer turned armed-conflict negotia­tor, chases leads throughout the Middle East, meeting with powerful sheikhs, drug lords, and sex traffickers in his pursuit of the truth. In Proof of Life, Levin dives deep into the shadows—an underground industry of war where everything is for sale, including arms, drugs, and even people. He offers a fasci­nating study of how people use leverage to get what they want from one another and of a place where no one does a favor without wanting something in return, whether it’s immediately or years down the road. A fast-paced thriller wrapped in a memoir, Proof of Life is a cinematic must-read by an author with access to a world that usually remains hidden.