That they exist, Simon Singh reveals, underscores the brilliance of the shows' writers, many of whom have advanced degrees in mathematics in addition to their unparalleled sense of humor. While recounting memorable episodes such as “Bart the Genius” and “Homer3,” Singh weaves in mathematical stories that explore everything from p to Mersenne primes, Euler's equation to the unsolved riddle of P v. NP; from perfect numbers to narcissistic numbers, infinity to even bigger infinities, and much more. Along the way, Singh meets members of The Simpsons' brilliant writing team-among them David X. Cohen, Al Jean, Jeff Westbrook, and Mike Reiss-whose love of arcane mathematics becomes clear as they reveal the stories behind the episodes. With wit and clarity, displaying a true fan's zeal, and replete with images from the shows, photographs of the writers, and diagrams and proofs, The Simpsons and Their Mathematical Secrets offers an entirely new insight into the most successful show in television history.

    This discovery dramatically reshaped how humans understood their place in the cosmos, and once and for all laid to rest the idea that the Milky Way galaxy was alone in the universe. Six years later, continuing research by Hubble and others forced Albert Einstein to renounce his own cosmic model and finally accept the astonishing fact that the universe was not immobile but instead expanding. The fascinating story of these interwoven discoveries includes battles of will, clever insights, and wrong turns made by the early investigators in this great twentieth-century pursuit. It is a story of science in the making that shows how these discoveries were not the work of a lone genius but the combined efforts of many talented scientists and researchers toiling away behind the scenes. The intriguing characters include Henrietta Leavitt, who discovered the means to measure the vast dimensions of the cosmos . . . Vesto Slipher, the first and unheralded discoverer of the universe’s expansion . . . Georges Lemaître, the Jesuit priest who correctly interpreted Einstein’s theories in relation to the universe . . . Milton Humason, who, with only an eighth-grade education, became a world-renowned expert on galaxy motions . . . and Harlow Shapley, Hubble’s nemesis, whose flawed vision of the universe delayed the discovery of its true nature and startling size for more than a decade.Here is a watershed moment in the history of astronomy, brought about by the exceptional combination of human curiosity, intelligence, and enterprise, and vividly told by acclaimed science writer Marcia Bartusiak.

    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.

    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!

    November 2015 is the 100th anniversary of Einstein’s discovery of the General Theory of Relativity.Levenson, head of MIT’s Science Writing Program, tells the captivating, unusual, and nearly-forgotten backstory behind Einstein’s invention of the Theory of Relativity, which completely changed the course of science forever. For over 50 years before Einstein developed his theory, the world’s top astronomers spent countless hours and energy searching for a planet, which came to be named Vulcan, that had to exist, it was thought, given Isaac Newton’s theories of gravity. Indeed, in the two centuries since Newton’s death, his theory had essentially become accepted as fact. It took Einstein’s genius to realize the mystery of the missing planet wasn’t a problem of measurements or math but of Newton’s theory of gravity itself. Einstein’s Theory of Relativity proved that Vulcan did not and could not exist, and that the decades-long search for it had merely been a quirk of operating under the wrong set of assumptions about the universe. Thomas Levenson tells this unique story, one of the strangest episodes in the history of science, with elegant simplicity, fast-paced drama, and lively characters sure to capture the attention of a wide group of readers.

    Beginning near the speed of light and proceeding to explorations of space-time and curved spaces, "Introducing Relativity" plots a visually accessible course through the thought experiments that have given shape to contemporary physics. Scientists from Newton to Hawking add their unique contributions to this story, as we encounter Einstein's astounding vision of gravity as the curvature of space-time and arrive at the breathtakingly beautiful field equations. Einstein's legacy is reviewed in the most advanced frontiers of physics today - black holes, gravitational waves, the accelerating universe and string theory. This is a superlative, fascinating graphic account of Einstein's strange world and how his legacy has been built upon since.

     The Viking Age! A brief footprint in the course of history that impacted generations hundreds of years into the future. You will dive into the depths of Scandinavia to find out what made the Vikings the most feared group of people in the European Middle Ages. Experts at warfare and navigating the high seas, the Vikings were on a mission and would not let anyone stand in their way! Brutal conquerors they were, but the Vikings were no mere savages. The Vikings had a unique culture and society that spread much influence through transcontinental trade and exploration into unknown worlds. Navigate the Vikings' journey from their first encounters with the inhabitants of the British Isles to their discoveries of Greenland and North America. Along the way, meet some of the most famous Vikings to ever walk the face of the Earth. You will meet the infamous legend Ragnar Lothbrok whose very existence is shrouded in mystery. Step into the shoes of the first European explorer to step foot onto the lands of North America, Leif Erikson. Countless other warriors, kings, and explorers left their mark that paved the path the world has taken to this very day. Get your copy now! Relive their journeys through the eyes of a Viking and discover the makings of this fascinating civilization!

    The objective here is to explain science in a simple, attractive and fun form that is open to all.The first axiom of this approach was set out as follows: “We believe in the magic of science. We hope to show you that sci-ence is not a secret art, accessible only to a dedicated few. It involves learning about nature and society, and aspects of our existence which affect us all, and which we should all therefore have the chance to understand. We shall interpret science for those who might not speak its language fluently, but want to understand its meaning. We don’t teach, we just tell stories about the beginnings of science, the natural phenomena and the underlying principles through which they occur, and the lives of the people who discovered them.”The aim of the writings collected in this series is to present some key scientific events, ideas and personalities in the form of short stories that are easy and fun to read. Scientific and philo-sophical concepts are explained in a way that anyone may under-stand. Each story may be read separately, but at the same time they all band together to form a wide-ranging introduction to the history of science and areas of contemporary scientific research, as well as some of the recurring problems science has encountered in history and the philosophical dilemmas it raises today.Review“If I were the only survivor on a remote island and all I had with me were this book, a Swiss army knife and a bottle, I would throw the bottle into the sea with the note: ‘Don’t worry, I have everything I need.’”— Ciril Horjak, alias Dr. Horowitz, a comic artist“The writing is understandable, but never simplistic. Instructive, but never patronizing. Straightforward, but never trivial. In-depth, but never too intense.”— Ali Žerdin, editor at Delo, the main Slovenian newspaper“Does science think? Heidegger once answered this question with a decisive No. The writings on modern science skillfully penned by Sašo Dolenc, these small stories about big stories, quickly convince us that the contrary is true. Not only does science think in hundreds of unexpected ways, its intellectual challenges and insights are an inexhaustible source of inspiration and entertainment. The clarity of thought and the lucidity of its style make this book accessible to anyone … in the finest tradition of popularizing science, its achievements, dilemmas and predicaments.”— Mladen Dolar, philosopher and author of A Voice and Nothing More“Sašo Dolenc is undoubtedly one of our most successful authors in the field of popular science, possessing the ability to explain complex scientific achievements to a broader audience in a clear and captivating way while remaining precise and scientific. His collection of articles is of particular importance because it encompasses all areas of modern science in an unassuming, almost light-hearted manner.”— Boštjan Žekš, physicist and former president of the Slovenian Academy of Sciences and Arts

    Structured around a plane journey that sees encounters with substances from water and glue to coffee and wine, Liquid Rules shows how these liquids can bring death and destruction as well as wonder and fascination.From László Bíró's revolutionary pen and Abraham Gesner's kerosene to cutting-edge research on self-repairing roads and liquid computers, Miodownik uses his winning formula of scientific storytelling to bring the everyday to life. He reveals why liquids can flow up a tree but down a hill, why oil is sticky, how waves can travel so far, and how to make the perfect cup of tea. Here are the secret lives of substances.

    Each chapter includes many illustrative examples to assist the reader. The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations.

    Here, from author Jay Williams, is the moving story of the man behind the Renaissance myth.

    The hunt for the Higgs was the subject of wide media attention due to the cost of the project, the complexity of the experiment, and the importance of its result. And, when it was announced with great fanfare in 2012 that physicists has succeeded in creating and identifying this all-important new particle, the discovery was celebrated around the world.And yet, virtually no one who read that news could tell you what, exactly, the Higgs boson was, and why its discovery was so important that we had to spend 10 billion dollars and build the single largest and most complex device in the history of mankind in order to find it. When you understand the details, this story ranks as one of the most thrilling in the history of modern science.Award-winning theoretical physicist Sean Carroll, a brilliant researcher as well as a gifted speaker who excels in explaining scientific concepts to the public, is perfectly positioned to tell this story. In this 12-lecture masterpiece of scientific reporting, you'll learn everything you need to know to fully grasp the significance of this discovery, including the basics of quantum mechanics; the four forces that comprise the Standard Model of particle physics; how these forces are transmitted by fields and particles; and the importance of symmetry in physics.You also get an in-depth view of the Large Hadron Collider - the largest machine ever built, and the device responsible for finally revealing the concept of the Higgs boson as reality. By the end, you'll understand how the Higgs boson verifies the final piece in the Standard Model of particle physics, and how its discovery validates and deepens our understanding of the universe.

    Dick was a hugely influential writer who drew upon his own life to address the nature of drug abuse, paranoia, schizophrenia, and transcendental experiences of all kinds. He was a prolific author and many of his books were turned into popular films such as Blade Runner, A Scanner Darkly, Total Recall, and Minority Report. This book has been written with the cooperation of several close acquaintances and looks to examine his work as well as the socio-political-cultural environment in which he lived. It will be of great interest to any fan of Philip K. Dick or science fiction in general, as well as anyone who grew up the 1950s, 1960s, and 1970s.

    In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

    The remaining lectures build on that idea, examining the possibility of building a relativistic quantum theory on curved surfaces or flat surfaces.