Millions, Billions, Zillions

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Author :
Publisher : Princeton University Press
ISBN 13 : 069120909X
Total Pages : 176 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Millions, Billions, Zillions by : Brian Kernighan

Download or read book Millions, Billions, Zillions written by Brian Kernighan and published by Princeton University Press. This book was released on 2020-11-10 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Numbers are often intimidating, confusing, and even deliberately deceptive--especially when they are really big. The media loves to report on millions, billions, and trillions, but frequently makes basic mistakes or presents such numbers in misleading ways. And misunderstanding numbers can have serious consequences, since they can deceive us in many of our most important decisions, including how to vote, what to buy, and whether to make a financial investment. In this short, accessible, enlightening, and entertaining book, leading computer scientist Brian Kernighan teaches anyone--even diehard math-phobes--how to demystify the numbers that assault us every day. With examples drawn from a rich variety of sources, including journalism, advertising, and politics, Kernighan demonstrates how numbers can mislead and misrepresent. In chapters covering big numbers, units, dimensions, and more, he lays bare everything from deceptive graphs to speciously precise numbers. And he shows how anyone--using a few basic ideas and lots of shortcuts--can easily learn to recognize common mistakes, determine whether numbers are credible, and make their own sensible estimates when needed. Giving you the simple tools you need to avoid being fooled by dubious numbers, Millions, Billions, Zillions is an essential survival guide for a world drowning in big--and often bad--data"--Jacket

Millions, Billions, Zillions

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691182779
Total Pages : 176 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Millions, Billions, Zillions by : Brian W. Kernighan

Download or read book Millions, Billions, Zillions written by Brian W. Kernighan and published by Princeton University Press. This book was released on 2018-11-06 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential guide to recognizing bogus numbers and misleading data Numbers are often intimidating, confusing, and even deliberately deceptive—especially when they are really big. The media loves to report on millions, billions, and trillions, but frequently makes basic mistakes or presents such numbers in misleading ways. And misunderstanding numbers can have serious consequences, since they can deceive us in many of our most important decisions, including how to vote, what to buy, and whether to make a financial investment. In this short, accessible, enlightening, and entertaining book, leading computer scientist Brian Kernighan teaches anyone—even diehard math-phobes—how to demystify the numbers that assault us every day. With examples drawn from a rich variety of sources, including journalism, advertising, and politics, Kernighan demonstrates how numbers can mislead and misrepresent. In chapters covering big numbers, units, dimensions, and more, he lays bare everything from deceptive graphs to speciously precise numbers. And he shows how anyone—using a few basic ideas and lots of shortcuts—can easily learn to recognize common mistakes, determine whether numbers are credible, and make their own sensible estimates when needed. Giving you the simple tools you need to avoid being fooled by dubious numbers, Millions, Billions, Zillions is an essential survival guide for a world drowning in big—and often bad—data.

Millions of Cats

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Author :
Publisher : Putnam Publishing Group
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Millions of Cats by : Wanda Gág

Download or read book Millions of Cats written by Wanda Gág and published by Putnam Publishing Group. This book was released on 1928 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can an old man and his wife select one cat from a choice of millions and trillions.

Supersingular P-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691216479
Total Pages : 280 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Supersingular P-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas by : Daniel Kriz

Download or read book Supersingular P-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas written by Daniel Kriz and published by Princeton University Press. This book was released on 2021-11-09 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking contribution to number theory that unifies classical and modern results This book develops a new theory of p-adic modular forms on modular curves, extending Katz's classical theory to the supersingular locus. The main novelty is to move to infinite level and extend coefficients to period sheaves coming from relative p-adic Hodge theory. This makes it possible to trivialize the Hodge bundle on the infinite-level modular curve by a "canonical differential" that restricts to the Katz canonical differential on the ordinary Igusa tower. Daniel Kriz defines generalized p-adic modular forms as sections of relative period sheaves transforming under the Galois group of the modular curve by weight characters. He introduces the fundamental de Rham period, measuring the position of the Hodge filtration in relative de Rham cohomology. This period can be viewed as a counterpart to Scholze's Hodge-Tate period, and the two periods satisfy a Legendre-type relation. Using these periods, Kriz constructs splittings of the Hodge filtration on the infinite-level modular curve, defining p-adic Maass-Shimura operators that act on generalized p-adic modular forms as weight-raising operators. Through analysis of the p-adic properties of these Maass-Shimura operators, he constructs new p-adic L-functions interpolating central critical Rankin-Selberg L-values, giving analogues of the p-adic L-functions of Katz, Bertolini-Darmon-Prasanna, and Liu-Zhang-Zhang for imaginary quadratic fields in which p is inert or ramified. These p-adic L-functions yield new p-adic Waldspurger formulas at special values.

Understanding the Digital World

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Author :
Publisher : Princeton University Press
ISBN 13 : 069121896X
Total Pages : 301 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Understanding the Digital World by : Brian W. Kernighan

Download or read book Understanding the Digital World written by Brian W. Kernighan and published by Princeton University Press. This book was released on 2021-03-30 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brand-new edition of the popular introductory textbook that explores how computer hardware, software, and networks work Computers are everywhere. Some are highly visible, in laptops, tablets, cell phones, and smart watches. But most are invisible, like those in appliances, cars, medical equipment, transportation systems, power grids, and weapons. We never see the myriad computers that quietly collect, share, and sometimes leak personal data about us. Governments and companies increasingly use computers to monitor what we do. Social networks and advertisers know more about us than we should be comfortable with. Criminals have all-too-easy access to our data. Do we truly understand the power of computers in our world? In this updated edition of Understanding the Digital World, Brian Kernighan explains how computer hardware, software, and networks work. Topics include how computers are built and how they compute; what programming is; how the Internet and web operate; and how all of these affect security, privacy, property, and other important social, political, and economic issues. Kernighan touches on fundamental ideas from computer science and some of the inherent limitations of computers, and new sections in the book explore Python programming, big data, machine learning, and much more. Numerous color illustrations, notes on sources for further exploration, and a glossary explaining technical terms and buzzwords are included. Understanding the Digital World is a must-read for readers of all backgrounds who want to know more about computers and communications.

How Many Jelly Beans?

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Publisher : Chronicle Books
ISBN 13 : 1452113076
Total Pages : 27 pages
Book Rating : 4.4/5 (521 download)

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Book Synopsis How Many Jelly Beans? by : Andrea Menotti

Download or read book How Many Jelly Beans? written by Andrea Menotti and published by Chronicle Books. This book was released on 2012-03-09 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: How many jelly beans are enough? How many are too many? Aiden and Emma can't decide. Is 10 enough? How about 1,000? That's a lot of jelly beans. But eaten over a whole year, it's only two or three a day. This giant picture book offers kids a fun and easy way to understand large numbers. Starting with 10, each page shows more and more colorful candies, leading up to a big surprise—ONE MILLION JELLY BEANS! With bright illustrations, How Many Jelly Beans? makes learning about big numbers absolutely scrumptious!

An Invitation to Modern Number Theory

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691215979
Total Pages : pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis An Invitation to Modern Number Theory by : Steven J. Miller

Download or read book An Invitation to Modern Number Theory written by Steven J. Miller and published by Princeton University Press. This book was released on 2020-08-04 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In a manner accessible to beginning undergraduates, An Invitation to Modern Number Theory introduces many of the central problems, conjectures, results, and techniques of the field, such as the Riemann Hypothesis, Roth's Theorem, the Circle Method, and Random Matrix Theory. Showing how experiments are used to test conjectures and prove theorems, the book allows students to do original work on such problems, often using little more than calculus (though there are numerous remarks for those with deeper backgrounds). It shows students what number theory theorems are used for and what led to them and suggests problems for further research. Steven Miller and Ramin Takloo-Bighash introduce the problems and the computational skills required to numerically investigate them, providing background material (from probability to statistics to Fourier analysis) whenever necessary. They guide students through a variety of problems, ranging from basic number theory, cryptography, and Goldbach's Problem, to the algebraic structures of numbers and continued fractions, showing connections between these subjects and encouraging students to study them further. In addition, this is the first undergraduate book to explore Random Matrix Theory, which has recently become a powerful tool for predicting answers in number theory. Providing exercises, references to the background literature, and Web links to previous student research projects, An Invitation to Modern Number Theory can be used to teach a research seminar or a lecture class.

Annals of the Former World

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Author :
Publisher : Farrar, Straus and Giroux
ISBN 13 : 0374708460
Total Pages : 448 pages
Book Rating : 4.3/5 (747 download)

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Book Synopsis Annals of the Former World by : John McPhee

Download or read book Annals of the Former World written by John McPhee and published by Farrar, Straus and Giroux. This book was released on 2000-06-15 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pulitzer Prize-winning view of the continent, across the fortieth parallel and down through 4.6 billion years Twenty years ago, when John McPhee began his journeys back and forth across the United States, he planned to describe a cross section of North America at about the fortieth parallel and, in the process, come to an understanding not only of the science but of the style of the geologists he traveled with. The structure of the book never changed, but its breadth caused him to complete it in stages, under the overall title Annals of the Former World. Like the terrain it covers, Annals of the Former World tells a multilayered tale, and the reader may choose one of many paths through it. As clearly and succinctly written as it is profoundly informed, this is our finest popular survey of geology and a masterpiece of modern nonfiction. Annals of the Former World is the winner of the 1999 Pulitzer Prize for Nonfiction.

Fearless Symmetry

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Publisher : Princeton University Press
ISBN 13 : 0691138710
Total Pages : 308 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Fearless Symmetry by : Avner Ash

Download or read book Fearless Symmetry written by Avner Ash and published by Princeton University Press. This book was released on 2008-08-24 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a friendly style for a general mathematically literate audience, 'Fearless Symmetry', starts with the basic properties of integers and permutations and reaches current research in number theory.

Number Theory

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Publisher : Princeton University Press
ISBN 13 : 0691159408
Total Pages : 592 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Number Theory by : John J. Watkins

Download or read book Number Theory written by John J. Watkins and published by Princeton University Press. This book was released on 2013-12-26 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introductory textbook with a unique historical approach to teaching number theory The natural numbers have been studied for thousands of years, yet most undergraduate textbooks present number theory as a long list of theorems with little mention of how these results were discovered or why they are important. This book emphasizes the historical development of number theory, describing methods, theorems, and proofs in the contexts in which they originated, and providing an accessible introduction to one of the most fascinating subjects in mathematics. Written in an informal style by an award-winning teacher, Number Theory covers prime numbers, Fibonacci numbers, and a host of other essential topics in number theory, while also telling the stories of the great mathematicians behind these developments, including Euclid, Carl Friedrich Gauss, and Sophie Germain. This one-of-a-kind introductory textbook features an extensive set of problems that enable students to actively reinforce and extend their understanding of the material, as well as fully worked solutions for many of these problems. It also includes helpful hints for when students are unsure of how to get started on a given problem. Uses a unique historical approach to teaching number theory Features numerous problems, helpful hints, and fully worked solutions Discusses fun topics like Pythagorean tuning in music, Sudoku puzzles, and arithmetic progressions of primes Includes an introduction to Sage, an easy-to-learn yet powerful open-source mathematics software package Ideal for undergraduate mathematics majors as well as non-math majors Digital solutions manual (available only to professors)

The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)

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Author :
Publisher : Princeton University Press
ISBN 13 : 0691090920
Total Pages : 287 pages
Book Rating : 4.6/5 (91 download)

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Book Synopsis The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151) by : Michael Harris

Download or read book The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151) written by Michael Harris and published by Princeton University Press. This book was released on 2001-11-04 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims first to prove the local Langlands conjecture for GLn over a p-adic field and, second, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the "simple" Shimura varieties. These two problems go hand in hand. The results represent a major advance in algebraic number theory, finally proving the conjecture first proposed in Langlands's 1969 Washington lecture as a non-abelian generalization of local class field theory. The local Langlands conjecture for GLn(K), where K is a p-adic field, asserts the existence of a correspondence, with certain formal properties, relating n-dimensional representations of the Galois group of K with the representation theory of the locally compact group GLn(K). This book constructs a candidate for such a local Langlands correspondence on the vanishing cycles attached to the bad reduction over the integer ring of K of a certain family of Shimura varieties. And it proves that this is roughly compatible with the global Galois correspondence realized on the cohomology of the same Shimura varieties. The local Langlands conjecture is obtained as a corollary. Certain techniques developed in this book should extend to more general Shimura varieties, providing new instances of the local Langlands conjecture. Moreover, the geometry of the special fibers is strictly analogous to that of Shimura curves and can be expected to have applications to a variety of questions in number theory.

Prime Suspects

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Publisher : Princeton University Press
ISBN 13 : 0691188734
Total Pages : 233 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Prime Suspects by : Andrew Granville

Download or read book Prime Suspects written by Andrew Granville and published by Princeton University Press. This book was released on 2019-08-06 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: An outrageous graphic novel that investigates key concepts in mathematics Integers and permutations—two of the most basic mathematical objects—are born of different fields and analyzed with separate techniques. Yet when the Mathematical Sciences Investigation team of crack forensic mathematicians, led by Professor Gauss, begins its autopsies of the victims of two seemingly unrelated homicides, Arnie Integer and Daisy Permutation, they discover the most extraordinary similarities between the structures of each body. Prime Suspects is a graphic novel that takes you on a voyage of forensic discovery, exploring some of the most fundamental ideas in mathematics. Travel with Detective von Neumann as he leaves no clue unturned, from shepherds’ huts in the Pyrenees to secret societies in the cafés of Paris, from the hidden codes in the music of the stones to the grisly discoveries in Finite Fields. Tremble at the ferocity of the believers in deep and rigid abstraction. Feel the frustration—and the excitement—of our young heroine, Emmy Germain, as she blazes a trail for women in mathematical research and learns from Professor Gauss, the greatest forensic detective of them all. Beautifully drawn and exquisitely detailed, Prime Suspects is unique, astonishing, and witty—a once-in-a-lifetime opportunity to experience mathematics like never before.

Deep-Sky Wonders

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Author :
Publisher : Firefly Books
ISBN 13 : 9780228102748
Total Pages : 320 pages
Book Rating : 4.1/5 (27 download)

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Book Synopsis Deep-Sky Wonders by : Sue French

Download or read book Deep-Sky Wonders written by Sue French and published by Firefly Books. This book was released on 2020-10 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The quality of the deep-sky images is outstanding--a tribute to the various photographers as well as the book's printer. But it's the written word that will make or break a book like this, and Sue's writing is superb... [For] an occasional stargazer, a serious observer, or anyone in between, you won't go wrong with Deep-Sky Wonders. This is a great introduction to deep-sky stargazing for novice and experienced amateur astronomers alike." --Mercury, publication of the Astronomical Society of the Pacific Sue French writes the popular column "Deep-Sky Wonders" for Sky and Telescope magazine and also teaches deep sky observation. She has earned a loyal following among enthusiasts and is welcomed by beginners for her skill at presenting astronomy in an understandable way. After selling 10,000 copies of Deep-Sky Wonders in hardcover, we expect a good response for this paperback edition at an accessible price. Deep-Sky Wonders is a collection of 100 of French's best "Deep-Sky Wonders" columns originally published in Sky and Telescope, which has a monthly readership exceeding 100,000. The book is organized by season and subdivided into months for a total of 100 in-depth tours of the deep sky. Each deep sky tour illuminates little-known seasonal wonders that lie off the beaten path. Features include: Full-color photographs and detailed sketches of each deep sky tour Descriptions of double and variable stars, star clusters, nebulae, galaxies and exotics Historical and scientific background of particular interest A tabular listing of the deep-sky sites Color charts showing the position of each target in the night sky An index to all of the deep-sky objects covered. Deep-Sky Wonders also features a variety of challenging objects that encourage observers to test the limits of their equipment and skills. Suitable for beginner and intermediate small-scope astronomers as well as large-scope viewers and astrophotographers, this book will be greeted enthusiastically by all Sky and Telescope readers. It is also an outstanding introduction to deep-sky viewing for novice observers.

Out Of Control

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Publisher : Basic Books
ISBN 13 : 078674703X
Total Pages : 528 pages
Book Rating : 4.7/5 (867 download)

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Book Synopsis Out Of Control by : Kevin Kelly

Download or read book Out Of Control written by Kevin Kelly and published by Basic Books. This book was released on 2009-04-30 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Out of Control chronicles the dawn of a new era in which the machines and systems that drive our economy are so complex and autonomous as to be indistinguishable from living things.

Algebraic Theory of Numbers

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Publisher : Princeton University Press
ISBN 13 : 9780691059174
Total Pages : 244 pages
Book Rating : 4.0/5 (591 download)

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Book Synopsis Algebraic Theory of Numbers by : Hermann Weyl

Download or read book Algebraic Theory of Numbers written by Hermann Weyl and published by Princeton University Press. This book was released on 1998 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work explores the fundamental concepts in arithmetic. It begins with the definitions and properties of algebraic fields. The theory of divisibility is then discussed. There follows an introduction to p-adic numbers and then culminates with an extensive examination of algebraic number fields.

Black Edge

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Publisher :
ISBN 13 : 0812995805
Total Pages : 370 pages
Book Rating : 4.8/5 (129 download)

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Book Synopsis Black Edge by : Sheelah Kolhatkar

Download or read book Black Edge written by Sheelah Kolhatkar and published by . This book was released on 2017 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The rise over the last two decades of a powerful new class of billionaire financiers marks a singular shift in the American economic and political landscape. Their vast reserves of concentrated wealth have allowed a small group of big winners to write their own rules of capitalism and public policy. How did we get here? ... Kolhatkar shows how Steve Cohen became one of the richest and most influential figures in finance--and what happened when the Justice Department put him in its crosshairs"--Amazon.com.

Benjamin Franklin's Numbers

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Author :
Publisher : Princeton University Press
ISBN 13 : 069122370X
Total Pages : 266 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Benjamin Franklin's Numbers by : Paul C. Pasles

Download or read book Benjamin Franklin's Numbers written by Paul C. Pasles and published by Princeton University Press. This book was released on 2021-01-12 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Few American lives have been as celebrated--or as closely scrutinized--as that of Benjamin Franklin. Yet until now Franklin's biographers have downplayed his interest in mathematics, at best portraying it as the idle musings of a brilliant and ever-restless mind. In Benjamin Franklin's Numbers, Paul Pasles reveals a side of the iconic statesman, scientist, and writer that few Americans know--his mathematical side. In fact, Franklin indulged in many areas of mathematics, including number theory, geometry, statistics, and economics. In this generously illustrated book, Pasles gives us the first mathematical biography of Benjamin Franklin. He draws upon previously unknown sources to illustrate Franklin's genius for numbers as never before. Magic squares and circles were a lifelong fascination of Franklin's. Here, for the first time, Pasles gathers every one of these marvelous creations together in one place. He explains the mathematics behind them and Franklin's hugely popular Poor Richard's Almanac, which featured such things as population estimates and a host of mathematical digressions. Pasles even includes optional math problems that challenge readers to match wits with the bespectacled Founding Father himself. Written for a general audience, this book assumes no technical skills beyond basic arithmetic. Benjamin Franklin's Numbers is a delightful blend of biography, history, and popular mathematics. If you think you already know Franklin's story, this entertaining and richly detailed book will make you think again.