In Standard Deviations, economics professor Gary Smith walks us through the various tricks and traps that people use to back up their own crackpot theories. Sometimes, the unscrupulous deliberately try to mislead us. Other times, the well-intentioned are blissfully unaware of the mischief they are committing. Today, data is so plentiful that researchers spend precious little time distinguishing between good, meaningful indicators and total rubbish. Not only do others use data to fool us, we fool ourselves.With the breakout success of Nate Silver’s The Signal and the Noise, the once humdrum subject of statistics has never been hotter. Drawing on breakthrough research in behavioral economics by luminaries like Daniel Kahneman and Dan Ariely and taking to task some of the conclusions of Freakonomics author Steven D. Levitt, Standard Deviations demystifies the science behind statistics and makes it easy to spot the fraud all around.

    Reveals mathematics' great power as an alternative language for understanding things and explores such concepts as logic as a computing tool, digital versus analog processes and communication as information transmission.

    You'll find out how to unknot your DNA, how to count like a supercomputer and how to become famous for solving mathematics' most challenging problem.

    He ventures to the largest underground research facility in the world, deep beneath Italy's Gran Sasso mountains, where scientists gaze into the heart of the Sun using the most elusive of particles, the ghostly neutrino. He visits CERN in Switzerland to explore the Antimatter Factory, where the stuff of science fiction is manufactured daily (and we're close to knowing whether it falls up). And he reveals what the latest data from the Large Hadron Collider may be telling us about the fundamental nature of matter.Along the way, Cliff illuminates the history of physics, chemistry, and astronomy that brought us to our present understanding--and misunderstandings--of the world, while offering readers a front-row seat to one of the most dramatic intellectual journeys human beings have ever embarked on.A transfixing deep dive into origins of our world, How to Make an Apple Pie from Scratch examines not just the makeup of our universe, but the awe-inspiring, improbable fact that it exists at all.

    To understand algebra is to possess the power to grow your skills and knowledge so you can ace your courses and possibly pursue further study in math. Algebra II For Dummies is the fun and easy way to get a handle on this subject and solve even the trickiest algebra problems. This friendly guide shows you how to get up to speed on exponential functions, laws of logarithms, conic sections, matrices, and other advanced algebra concepts. In no time you'll have the tools you need to:Interpret quadratic functions Find the roots of a polynomial Reason with rational functions Expose exponential and logarithmic functions Cut up conic sections Solve linear and non linear systems of equations Equate inequalities Simplifyy complex numbers Make moves with matrices Sort out sequences and sets This straightforward guide offers plenty of multiplication tricks that only math teachers know. It also profiles special types of numbers, making it easy for you to categorize them and solve any problems without breaking a sweat. When it comes to understanding and working out algebraic equations, Algebra II For Dummies is all you need to succeed!

    The book also provides a balanced presentation of time-varying and static fields, preparingstudents for employment in today's industrial and manufacturing sectors. Streamlined to facilitate student understanding, this edition features worked examples in every chapter that explain how to use the theory presented in the text to solve different kinds of problems. Numerical methods, including MATLAB and vector analysis, are also included to help students analyzesituations that they are likely to encounter in industry practice. Elements of Electromagnetics, Fifth Edition, is designed for introductory undergraduate courses in electromagnetics.

    This sharply intelligent, consistently provocative book takes the reader on an astonishing, thought-provoking voyage into the realm of delightful uncertainty--a world of paradox in which logical argument leads to contradiction and common sense is seemingly rendered irrelevant.

    Their quest: to be the first to detect gravitational waves, infinitesimal quakes that stretch and compress space-time and could add a brand-new dimension to our universal knowledge-allowing us to hear a sun going supernova, black holes colliding, and perhaps one day, the remnant rumble of the Big Bang itself...

    But a dispute over its discovery sowed the seeds of discontent between two of the greatest scientific giants of all time - Sir Isaac Newton and Gottfried Wilhelm Leibniz." "Today Newton and Leibniz are generally considered the twin independent inventors of calculus. They are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret." This long and bitter dispute has been swept under the carpet by historians - perhaps because it reveals Newton and Leibniz in their worst light - but The Calculus Wars tells the full story in narrative form for the first time. This history ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad, and in the end completely human.

    Includes such gems as:? There are 42 eyes in a deck of cards, and 42 dots on a pair of dice ? In order to fill in a map so that neighboring regions never get the same color, one never needs more than four colors ? Hells Angels use the number 81 in their insignia because the initials H and A are the eighth and first numbers in the alphabet respectively

    Clear Science Teaching to Set the Stage for an Awe-Inspiring Course Created for a lay audience and readily accessible, in this course science always takes precedence over drama. The lectures are certainly entertaining, often funny, even awe-inspiring at times, as befits the subject matter. Even though you will be entertained, you will be learning good science. Clear introductions to essential principles of physics support these lectures, including density, quantum theory, gravity, and the General Theory of Relativity. Professor Neil deGrasse Tyson also includes forays into disciplines such as chemistry and biology as needed to explain events in astronomy. For example, Dr. Tyson begins one lecture at a point 13 billion years ago, when all space, matter, and energy in the known universe were contained in a volume less than one-trillionth the size of a pinpoint-about the size of a single atom. By the time he finishes, the cosmos has been stretched, the planets and our Earth formed, and 70 percent of existing Earth species have been wiped out by a gigantic asteroidclearing the way for the evolution of humanity. Along the way he has touched on Einstein's famous equation, E=mc2; on the four forces that were once unified in the early cosmos in a way physicists are still trying to explain; and on the chemical enrichment of the universe by exploding supernovae, which give the universe its necessary supply of heavier elements including oxygen, nitrogen, iron and, most important, carbon. Carbon, we learn, is a "sticky" atom, capable of making more kinds of molecules than all other elements combined. It's the ideal element with which to experiment in the building of life forms and is, of course, the element responsible for the remarkable diversity of life, including us. As Dr. Tyson notes, we are made of stardust, just as the planets are. And he has created a course that explains exactly how that came to be, beginning with a grounding in the basic "machinery" of matter, forces, and energy that has been discovered on Earth and which also reveals itself throughout the universe. The Stark and Violent Beauty of the Universe With this basic foundation in place, explanations of cosmic events fall logically into place, and the realities of the universe-including its eventual demise-are revealed in stark and often violent beauty. You learn: how Saturn's rings were formed, and why they will eventually be lost why low-density conditions are necessary to produce the drama of the northern and southern auroras why even the most jagged and wild of the Earth's mountain ranges are, from a cosmic standpoint, really part of a perfectly smooth sphere how black holes are formed and the extraordinary way in which they can wreak havoc in the universe how asteroids moving through space represent threats of extraordinary consequence to Earth, no matter how long those threats may take to be realized why the seemingly infinite panorama of celestial bodies revealed by the Hubble Space Telescope's famous "Deep Field" so intrigued astronomers how astronomers actually look for new planets, why the odds seem overwhelmingly in favor of some kind of life out there, whether we ever make contact or not. Most important, none of these ideas are presented as isolated "space factoids" that serve no purpose but to entertain. They are there to illustrate and reinforce the key principles of physics and astrophysics that are continually being presented in this course. But the inclusion of real science doesn't prevent Dr. Tyson from having some fun, either. When it's time to show how a black hole might remove one from the universe, he leads you right up to the "event horizon" and slips you in-feet first. Since the event horizon represents the point within which nothing, not even light, can escape, you might think this is a bad idea. And you would be right. But as you plummet toward the "singularity" at the heart of the black hole, you will learn firsthand about the interesting effects of gravity truly unleashed, including what physicists refer to, with a straight face, as "spaghettification." (Actually, Professor Tyson recommends that you be sucked in to a large black hole rather than a small one. You'll still be spaghettified, but it won't happen as quickly.) But make no mistake: Dr. Tyson does not consider the cosmos a laughing matter, this kind of whimsical touch notwithstanding. In spite of his training, he remains, admittedly, still in awe of his subject. And he has created a course that might well produce the same feeling in you.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    This is done in a way that is not only easy to understand, but is actually fun! Professors and engineers, with high school and college students following closely, comprise the largest percentage of our readers. It is a must-have for anyone interested in music, mathematics, physics, engineering, or complex science. Dr. Yoichiro Nambu, 2008 Nobel Prize Winner in Physics, served as a senior adviser to the English version of Who is Fourier? A Mathematical Adventure.

    From Hesiod's Chaos, described in his poem about the origins of the Greek gods, Theogony, to today's mind-bending theories of the multiverse, humans have been consumed by the relentless pursuit of an answer to one awe inspiring question: What exactly happened during those first moments?Guido Tonelli, the acclaimed, award-winning particle physicist and a central figure in the discovery of the Higgs boson (the "God particle"), reveals the extraordinary story of our genesis--from the origins of the universe, to the emergence of life on Earth, to the birth of human language with its power to describe the world. Evoking the seven days of biblical creation, Tonelli takes us on a brisk, lively tour through the evolution of our cosmos and considers the incredible challenges scientists face in exploring its mysteries. Genesis both explains the fundamental physics of our universe and marvels at the profound wonder of our existence.

    An extremely clever account.--The New Yorker.