Millions Billions Zillions

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Millions, Billions, Zillions

Brian Kernighan
Millions Billions Zillions Book PDF

Author : Brian Kernighan
Publisher : Princeton University Press
Page : 176 pages
File Size : 44,9 Mb
Release : 2020-11-10
Category : Mathematics
ISBN : 9780691209098

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Millions, Billions, Zillions by Brian Kernighan Pdf

"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 of Cats

Wanda Gág
Millions of Cats Book PDF

Author : Wanda Gág
Publisher : Unknown
Page : 128 pages
File Size : 42,7 Mb
Release : 2019
Category : Cats
ISBN : 1094258628

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Millions of Cats by Wanda Gág Pdf

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

Daniel Kriz
Supersingular p adic L functions Maass Shimura Operators and Waldspurger Formulas Book PDF

Author : Daniel Kriz
Publisher : Princeton University Press
Page : 280 pages
File Size : 48,7 Mb
Release : 2021-11-09
Category : Mathematics
ISBN : 9780691225739

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Supersingular p-adic L-functions, Maass-Shimura Operators and Waldspurger Formulas by Daniel Kriz Pdf

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.

How Many Jelly Beans?

Andrea Menotti
How Many Jelly Beans Book PDF

Author : Andrea Menotti
Publisher : Chronicle Books
Page : 27 pages
File Size : 48,9 Mb
Release : 2012-03-09
Category : Juvenile Fiction
ISBN : 9781452113074

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How Many Jelly Beans? by Andrea Menotti Pdf

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

Steven J. Miller,Ramin Takloo-Bighash
An Invitation to Modern Number Theory Book PDF

Author : Steven J. Miller,Ramin Takloo-Bighash
Publisher : Princeton University Press
Page : 128 pages
File Size : 54,9 Mb
Release : 2020-08-04
Category : Mathematics
ISBN : 9780691215976

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An Invitation to Modern Number Theory by Steven J. Miller,Ramin Takloo-Bighash Pdf

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.

Understanding the Digital World

Brian W. Kernighan
Understanding the Digital World Book PDF

Author : Brian W. Kernighan
Publisher : Princeton University Press
Page : 301 pages
File Size : 52,7 Mb
Release : 2021-03-30
Category : Computers
ISBN : 9780691218960

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Understanding the Digital World by Brian W. Kernighan Pdf

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.

Deep-Sky Wonders

Sue French
Deep Sky Wonders Book PDF

Author : Sue French
Publisher : Firefly Books
Page : 320 pages
File Size : 54,7 Mb
Release : 2020-10
Category : Electronic
ISBN : 022810274X

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Deep-Sky Wonders by Sue French Pdf

"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.

Number Theory

John J. Watkins
Number Theory Book PDF

Author : John J. Watkins
Publisher : Princeton University Press
Page : 592 pages
File Size : 49,9 Mb
Release : 2013-12-26
Category : Mathematics
ISBN : 9780691159409

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Number Theory by John J. Watkins Pdf

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)

Fearless Symmetry

Avner Ash,Robert Gross
Fearless Symmetry Book PDF

Author : Avner Ash,Robert Gross
Publisher : Princeton University Press
Page : 308 pages
File Size : 40,9 Mb
Release : 2008-08-24
Category : Mathematics
ISBN : 9780691138718

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Fearless Symmetry by Avner Ash,Robert Gross Pdf

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.

Prime Suspects

Andrew Granville,Jennifer Granville
Prime Suspects Book PDF

Author : Andrew Granville,Jennifer Granville
Publisher : Princeton University Press
Page : 233 pages
File Size : 50,6 Mb
Release : 2019-08-06
Category : Mathematics
ISBN : 9780691188737

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Prime Suspects by Andrew Granville,Jennifer Granville Pdf

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.

Black Edge

Sheelah Kolhatkar
Black Edge Book PDF

Author : Sheelah Kolhatkar
Publisher : Unknown
Page : 370 pages
File Size : 44,7 Mb
Release : 2017
Category : Business & Economics
ISBN : 9780812995800

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Black Edge by Sheelah Kolhatkar Pdf

"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.

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

Michael Harris,Richard Lawrence Taylor,Richard Taylor
The Geometry and Cohomology of Some Simple Shimura Varieties AM 151 Book PDF

Author : Michael Harris,Richard Lawrence Taylor,Richard Taylor
Publisher : Princeton University Press
Page : 287 pages
File Size : 48,9 Mb
Release : 2001-11-04
Category : Mathematics
ISBN : 9780691090924

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The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151) by Michael Harris,Richard Lawrence Taylor,Richard Taylor Pdf

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.

Algebraic Theory of Numbers

Hermann Weyl
Algebraic Theory of Numbers Book PDF

Author : Hermann Weyl
Publisher : Princeton University Press
Page : 244 pages
File Size : 43,5 Mb
Release : 1998
Category : Mathematics
ISBN : 0691059179

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Algebraic Theory of Numbers by Hermann Weyl Pdf

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.

Out Of Control

Kevin Kelly
Out Of Control Book PDF

Author : Kevin Kelly
Publisher : Basic Books
Page : 528 pages
File Size : 52,6 Mb
Release : 2009-04-30
Category : Science
ISBN : 9780786747030

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Out Of Control by Kevin Kelly Pdf

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.

Summing It Up

Avner Ash,Robert Gross
Summing It Up Book PDF

Author : Avner Ash,Robert Gross
Publisher : Princeton University Press
Page : 248 pages
File Size : 47,9 Mb
Release : 2018-01-30
Category : Mathematics
ISBN : 9780691178516

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Summing It Up by Avner Ash,Robert Gross Pdf

The power and properties of numbers, from basic addition and sums of squares to cutting-edge theory We use addition on a daily basis—yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians Avner Ash and Robert Gross explore addition's most basic characteristics as well as the addition of squares and other powers before moving onward to infinite series, modular forms, and issues at the forefront of current mathematical research. Ash and Gross tailor their succinct and engaging investigations for math enthusiasts of all backgrounds. Employing college algebra, the first part of the book examines such questions as, can all positive numbers be written as a sum of four perfect squares? The second section of the book incorporates calculus and examines infinite series—long sums that can only be defined by the concept of limit, as in the example of 1+1/2+1/4+. . .=? With the help of some group theory and geometry, the third section ties together the first two parts of the book through a discussion of modular forms—the analytic functions on the upper half-plane of the complex numbers that have growth and transformation properties. Ash and Gross show how modular forms are indispensable in modern number theory, for example in the proof of Fermat's Last Theorem. Appropriate for numbers novices as well as college math majors, Summing It Up delves into mathematics that will enlighten anyone fascinated by numbers.