His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

    His illuminating explanation is addressed to the person who wants to understand the place of mathematics in modern civilization but who has been intimidated by its supposed difficulty. Mathematics is the language of size, shape, and order—a language Hogben shows one can both master and enjoy.

    In A Brief History of Mathematical Thought, Luke Heaton explores how the language of mathematics has evolved over time, enabling new technologies and shaping the way people think. From stone-age rituals to algebra, calculus, and the concept of computation, Heaton shows the enormous influence of mathematics on science, philosophy and the broader human story. The book traces the fascinating history of mathematical practice, focusing on the impact of key conceptual innovations. Its structure of thirteen chapters split between four sections is dictated by a combination of historical and thematic considerations. In the first section, Heaton illuminates the fundamental concept of number. He begins with a speculative and rhetorical account of prehistoric rituals, before describing the practice of mathematics in Ancient Egypt, Babylon and Greece. He then examines the relationship between counting and the continuum of measurement, and explains how the rise of algebra has dramatically transformed our world. In the second section, he explores the origins of calculus and the conceptual shift that accompanied the birth of non-Euclidean geometries. In the third section, he examines the concept of the infinite and the fundamentals of formal logic. Finally, in section four, he considers the limits of formal proof, and the critical role of mathematics in our ongoing attempts to comprehend the world around us. The story of mathematics is fascinating in its own right, but Heaton does more than simply outline a history of mathematical ideas. More importantly, he shows clearly how the history and philosophy of maths provides an invaluable perspective on human nature.

     Learn the essential concepts using concrete analogies and vivid diagrams, not mechanical definitions. Calculus isn't a set of rules, it's a specific, practical viewpoint we can apply to everyday thinking. Frustrated With Abstract, Mechanical Lessons? I was too. Despite years of classes, I didn't have a strong understanding of calculus concepts. Sure, I could follow mechanical steps, but I had no lasting intuition. The classes I've seen are too long, taught in the wrong order, and without solid visualizations. Here's how this course is different: 1) It gets to the point. A typical class plods along, saving concepts like Integrals until Week 8. I want to see what calculus can offer by Minute 8. Each compact, tightly-written lesson can be read in 15 minutes. 2) Concepts are taught in their natural order. Most classes begin with the theory of limits, a technical concept discovered 150 years after calculus was invented. That's like putting a new driver into a Formula-1 racecar on day 1. We can begin with the easy-to-grasp concepts discovered 2000 years ago. 3) It has vivid analogies and visualizations. Calculus is usually defined as the "study of change"... which sounds like history or geology. Instead of an abstract definition, we'll see calculus a step-by-step viewpoint to explore patterns. 4) It's written by a human, for humans. I'm not a haughty professor or strict schoolmarm. I'm a friend who saw a fun way to internalize some difficult ideas. This course is a chat over coffee, not a keep-your-butt-in-your-seat lecture. The goal is to help you grasp the Aha! moments behind calculus in hours, not a painful semester (or a decade, in my case). Join Thousands Of Happy Readers Here's a few samples of anonymous feedback as people went through the course. The material covers a variety of levels, whether you're looking for intuitive appreciation or the specifics of the rules. "I've done all of this stuff before, and I do understand calculus intuitively, but this was the most fun I've had going through this kind of thing. The informal writing and multitude of great analogies really helps this become an enjoyable read and the rest is simple after that - you make this seem easy, but at the same time, you aren't doing it for us…This is what math education is supposed to be like :)" "I have psychology and medicine background so I relate your ideas to my world. To me the most useful idea was what each circle production feels like. Rings are natural growth…Slices are automatable chunks and automation cheapens production… Boards in the shape on an Arch are psychologically most palatable for work (wind up, hard part, home stretch). Brilliant and kudos, from one INTP to another." "I like how you're introducing both derivatives and integrals at the same time - it's really helps with understanding the relationship between them. Also, I appreciate how you're coming from such a different angle than is traditionally taken - it's always interesting to see where you decide to go next." "That was breathtaking. Seriously, mail my air back please, I've grown used to it. Beautiful work, thank you. Lesson 15 was masterful. I am starting to feel calculus. "d/dx is good" (sorry, couldn't resist!)."

    The authors include such best sellers as Malcolm Gladwell, Seymour Hersh, and Jonathan Franzen - and the subjects range from the lives of short-order cooks to the secrets of college admissions.In all, there are nine stories:ANNALS OF TECHNOLOGY"The Bakeoff" by Malcolm Gladwell: Project Delta aims to create the perfect cookie. (Originally published Sept. 5, 2005)COMMENT"Mired" by Hendrik Hertzberg: Evolution vs. creationism vs. intelligent design. (Originally published Aug. 22, 2005)ANNALS OF MEDICINE"Bloodsuckers" by John Colapinto: Leeches are good for you after all. (Originally published July 25, 2005)BOOKS"A Cloud of Dust" by John Updike: A review of E. L. Doctorow's new novel, The March. (Originally published Sept. 12, 2005)THE TALK OF THE TOWN:"Watergate Days" by Seymour Hersh: The veteran investigative reporter writes about the revelation of the identity of "Deep Throat" and his own reporting experiences. (Originally published June 13 & 20, 2005)IN THE KITCHEN"The Egg Men" by Burkhard Bilger: What it takes to be a short-order cook in Las Vegas. (Originally published Sept. 5, 2005)A CRITIC AT LARGE"Getting In" by Malcolm Gladwell: The social logic of Ivy League admissions. (Originally published Oct. 10, 2005)ANNALS OF ADOLESCENCE"The Retreat" by Jonathan Franzen: Memories of a church youth group. (Originally published June 6, 2005)POP MUSIC"The Gift and the Curse" by Sasha Frere-Jones: The "vexing brilliance" of Jack White and the latest release by The White Stripes. (Originally published June 13 & 20, 2005)The articles in this collection were selected by Audible in cooperation with the editorial staff of The New Yorker. Narration by William Dufris, Todd Mundt, and Christine Marshall.(P) and ©2005 The New YorkerListening Length: 4 hours and 32 minutes

    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.

    He was the undisputed finest high school player in America. He was the one NBA scouts drooled over, corporations dreamed of, event promoters begged for, and now fans clamor after. Never before had a high school basketball player been so highly touted or an eighteen-year-old athlete been the subject of such fascination. Maybe no basketball player in the world has had that level of attention.Now with the Cleveland Cavaliers, LeBron has become a certified NBA all-star. Love him or hate him, there is no denying that LeBron James is a force on the basketball court, and his rags to riches story is the stuff that dreams are made of.Ryan Jones has updated his smash hit book King James to incorporate everything that is LeBron: the controversy, the star power, the shoes, the cars, the hobnobbing with the world's most famous celebrities, and, of course, the game. This is a book for every fan of LeBron James and for anybody interested in reading about an NBA legend in the making.

    Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge--from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool--the general principle--from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems.Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.

    This proven magick works safely, without wands, herbs, incense or candles. There is no need to pay the spirits, and there is no karma or spiritual backlash. You get what you deserve, you get it fast and you get to spend it any way you want. Where the Magickal Cashbook gave just one method for attracting a small burst of money, and Wealth Magick worked on long-term career enhancement, Magickal Riches contains practical rituals that continually manifest money. Developed from ancient knowledge and modern occult technology, the major workings in this book have never been published before, in any form. The secrets of Magickal Riches have been crafted by The Gallery of Magick during the past thirty years. You will discover: *The Master Money Ritual, using a sigil that contains a pattern of magickal symbols. *How to find your Secret Source of Money, to provide new streams of unexpected income. *A Ritual To Increase Sales, for anybody who sells a product of any kind. *A Ritual For Buying and Selling that ensures that you get the best deal when you are buying or selling anything, from a small item to a house or business. *A ritual to Get Somebody To Pay Up. When you are owed money, use magick to get what belongs to you. *The Genius Rituals, with a set of unique sigils to call on intelligent and helpful spirits. *A ritual to Attract Money Through Perception, for trading shares, or to find out the best course of action in any money-making situation. *The Chance Money Attraction ritual, employing the power of Nitika in harmony with other genius spirits, to bring money out of the blue. *The Gambling Ritual, to increase your luck in lotteries and games of chance. *A secret technique, never revealed until now, for adding extra energy to your magickal workings. Damon Brand says, 'Creating money with magick is one of the most direct and exciting ways to experience the raw power of the occult.' If you are completely new to magick, be assured that this magick is safe and effective. It will work whether you believe in it or not. If you are an experienced occultist, you will discover many new secrets for manifesting money. This exceptional work gives you all the knowledge, techniques, images and secret words that you need to unleash a flow of riches into your life.

    Rare Book

     So why can it be so hard to achieve the results we crave? Working harder rarely has the desired effect. The answer is to work smarter, and with – not against – our natural strengths. Mindset with Muscle takes you on a different transformation journey. Rather than hitting the gym and obsessing about success, this book brings you ‘sets and reps for the brain’. When you read this book, and implement Jamie Alderton’s proven strategies, you will be able to: Develop your brain and build new habits that hard-wire you for success Map out exactly what you need to do in order to achieve your physical, business and financial goals Move forward confidently and take action to build the business, body and lifestyle of your dreams Finally get in the best physical and mental shape of your life Know with certainty you can achieve whatever it is you set out to do Mindset with Muscle urges you to wake up and realise you have the choice in life to achieve pretty much anything you set your mind to.

    A man of faith ordained in the Protestant tradition, Heino Falcke wrestles with the ways in which black holes force us to confront the boundary where human life ends and the celestial begins. He also ponders why black holes are difficult for most of us to understand—comparing it to our inability to envisage our own inevitable death.Black holes develop in outer space when a massive star dies, and its matter is condensed. That extreme amount of mass contained in a small space generates a gigantic amount of gravitational force, allowing the black hole to suck up everything that comes near, including light. These astronomical wonders are the subject of our greatest scientific and philosophical theorizing—the journey to a black hole would be the journey to the end of time itself. In this way, Falcke regards them as the most exquisite representations of fear, death . . . and, surprisingly, the divine.Empirical and profound, A Light in the Darkness is the first work to examine both the physical nature and spiritual meaning of black holes, those astrophysical mysteries Falcke, calls “the epitome of merciless destruction.”

    The Times called it elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf and The Philadelphia Inquirer praised it as absolutely scintillating. In this delightful new book, Robert Kaplan, writing together with his wife Ellen Kaplan, once again takes us on a witty, literate, and accessible tour of the world of mathematics. Where The Nothing That Is looked at math through the lens of zero, The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Tracing a path from Pythagoras, whose great Theorem led inexorably to a discovery that his followers tried in vain to keep secret (the existence of irrational numbers); through Descartes and Leibniz; to the brilliant, haunted Georg Cantor, who proved that infinity can come in different sizes, the Kaplans show how the attempt to grasp the ungraspable embodies the essence of mathematics. The Kaplans guide us through the Republic of Numbers, where we meet both its upstanding citizens and more shadowy dwellers; and we travel across the plane of geometry into the unlikely realm where parallel lines meet. Along the way, deft character studies of great mathematicians (and equally colorful lesser ones) illustrate the opposed yet intertwined modes of mathematical thinking: the intutionist notion that we discover mathematical truth as it exists, and the formalist belief that math is true because we invent consistent rules for it. Less than All, wrote William Blake, cannot satisfy Man. The Art of the Infinite shows us some of the ways that Man has grappled with All, and reveals mathematics as one of the most exhilarating expressions of the human imagination.

    It's a great project for families and foodies alike, and all you need to start off is this book, a specialist mushroom growing kit, and a small space in which to grow them!In this book I aim to teach you the basics that you need to know to grow mushrooms at home. You'll take a step back in time and learn about the history of mushrooms as food, and why it has taken centuries for home mushroom growing to really catch on. I'll let you know exactly which are the best types of mushrooms for you to start with. If you aren't sure what tools you'll need, don't worry - this book has that covered too. And I'll explain how to make sure that your mushrooms grow quickly and pest free, and the best ways to harvest, preserve and store your crop.But where should you grow your mushrooms? That's a good question! Contained within the pages of this book are tips on how to set up a mushroom patch in your back yard, as well as how to grow them inside. Is it really better to grow them completely in the dark? You are about to find out!So, whether you like shiitakes, portobellos or oyster mushrooms, stop buying them in stores. I'll teach you how to grow your own and keep your entire family well supplied.In as little as a few weeks you can have the perfect fresh mushrooms grown and ready to eat. Yum!This easy to read, beginners book, summarizes the essential information I have learned over the years, and is written to help you decide if mycology is for you, and if so, which route to take.

    Griffin), Dick Couch's explosive novel poses the chilling and timely question: How safe are America's waterways from terrorist threat?Riding quietly at her moorings on Puget Sound, the U.S. Navy's deadly weapon -- the Trident submarine -- waits for her return to the sea. But an Arab terrorist known as the Shadow has targeted the USS "Michigan," with nearly three hundred nuclear warheads nestled in its missile silos. He intends to take the deadliest weapon of the Cold War and turn it into the deadliest dirty bomb conceivable -- by hijacking the "Spokane," flagship of the nation's largest ferry fleet. The nation, caught by surprise, sends a select team of Navy SEALs to stop the Shadow. They are aided by a savvy FBI agent and the ferry's captain, Ross Peck. Unless the U.S. wields its political might to support his terrorist brothers in the Middle East, the Shadow will unleash a radiological holocaust, and a nightmare beyond imagining. . . .