Who invented zero? Why are there 60 seconds in a minute? Can a butterfly's wings really cause a storm on the far side of the world? In 50 concise essays, Professor Tony Crilly explains the mathematical concepts that allow use to understand and shape the world around us.

    Collected from the series of blog posts starting at: https://bartoszmilewski.com/2014/10/2...Hardcover available at: http://www.blurb.com/b/9008339-catego...

    Pure mathematics, the area of Bourbaki's work, seems on the surface to be an abstract field of human study with no direct connection with the real world. In reality, however, it is closely intertwined with the general culture that surrounds it. Major developments in mathematics have often followed important trends in popular culture; developments in mathematics have acted as harbingers of change in the surrounding human culture. The seeds of change, the beginnings of the revolution that swept the Western world in the early decades of the twentieth century — both in mathematics and in other areas — were sown late in the previous century. This is the story both of Bourbaki and the world that created him in that time. It is the story of an elaborate intellectual joke — because Bourbaki, one of the foremost mathematicians of his day — never existed.

    

    This edition, which was prepared by Kip S. Thorne (Feynman Professor of Theoretical Physics at California Institute of Technology), fully incorporates all the errata and corrections gathered (but never used in a published edition) by Feynman.

    Lebrecht compellingly demonstrates that classical recording has reached its end point, but this is not simply an expos? of decline and fall. It is, for the first time, the full story of a minor art form, analyzing the cultural revolution wrought by Schnabel, Toscanini, Callas, Rattle, the Three Tenors, and Charlotte Church. It is the story of how stars were made and broken by the record business; how a war criminal conspired with a concentration-camp victim to create a record empire; and how advancing technology, boardroom wars, public credulity and unscrupulous exploitation shaped the musical backdrop to our modern lives. The book ends with a suitable shrine to classical recording: the author's critical selection of the 100 most important recordings, and the 20 most appalling.Filled with memorable incidents and unforgettable personalities, from Goddard Lieberson, legendary head of CBS Masterworks who signed his letters as God; to Georg Solti, who turned the Chicago Symphony into the loudest symphony on earth - this is at once the captivating story of the life and death of classical recording and an opinionated, insider's guide to appreciating the genre, now and for years to come.

    A modern classic by an accomplished mathematician and best-selling author has been updated to encompass and explain the recent headline-making advances in the field in non-technical terms.

    A lecture class taught by Wittgenstein, however, hardly resembled a lecture. He sat on a chair in the middle of the room, with some of the class sitting in chairs, some on the floor. He never used notes. He paused frequently, sometimes for several minutes, while he puzzled out a problem. He often asked his listeners questions and reacted to their replies. Many meetings were largely conversation. These lectures were attended by, among others, D. A. T. Gasking, J. N. Findlay, Stephen Toulmin, Alan Turing, G. H. von Wright, R. G. Bosanquet, Norman Malcolm, Rush Rhees, and Yorick Smythies. Notes taken by these last four are the basis for the thirty-one lectures in this book. The lectures covered such topics as the nature of mathematics, the distinctions between mathematical and everyday languages, the truth of mathematical propositions, consistency and contradiction in formal systems, the logicism of Frege and Russell, Platonism, identity, negation, and necessary truth. The mathematical examples used are nearly always elementary.

    Known for its complete coverage of concepts and principles along with a more systematic and descriptive treatment of mineralogy, the revised edition now includes a CD-ROM to let readers see the minerals and crystals, while also viewing chemical composition, symmetry, and morphological crystallography.

    It presents in a unified manner an introduction to the mathematical theory underlying computer graphic applications. It covers topics of keen interest to students in engineering and computer science: transformations, projections, 2-D and 3-D curve definition schemes, and surface definitions. It also includes techniques, such as B-splines, which are incorporated as part of the software in advanced engineering workstations. A basic knowledge of vector and matrix algebra and calculus is required.

    Calculus is not a prerequisite, although examples and exercises using very basic calculus are included (labeled Calculus Required.) The most technology-friendly text on the market, Introductory Linear Algebra is also the most flexible. By omitting certain sections, instructors can cover the essentials of linear algebra (including eigenvalues and eigenvectors), to show how the computer is used, and to introduce applications of linear algebra in a one-semester course.

    Roger Penrose—one of the most innovative mathematicians of our time—turns around this predominant picture of the universe’s “heat death,” arguing how the expected ultimate fate of our accelerating, expanding universe can actually be reinterpreted as the “Big Bang” of a new one.Along the way to this remarkable cosmological picture, Penrose sheds new light on basic principles that underlie the behavior of our universe, describing various standard and nonstandard cosmological models, the fundamental role of the cosmic microwave background, and the key status of black holes. Ideal for both the amateur astronomer and the advanced physicist—with plenty of exciting insights for each—Cycles of Time is certain to provoke and challenge.Intellectually thrilling and accessible, this is another essential guide to the universe from one of our preeminent thinkers.

    Archaeologist Joshua Agar makes a stunning discovery when on one of his excavation sites, they unearth an ancient ossuary, untouched since the day it was buried. Evidence and analysis reveals that the contents of the find appear to be the six of the Seven Seals mentioned in the bible's Book of Revelation.The Seventh is missing.Meanwhile, a mysterious man has been walking the earth for millennia. He waits... amassing knowledge and power, seeking to bring about the one event that would release him from his endless existence. With the discovery in Tel Aviv, his waiting might soon be over.Joshua Agar and his team, Professor Simon Rockwell and Dr. Rachel Carver soon realises the significance of their find. An ancient society known as The Keepers awakens, and they are after the Seven Seals. For it has been told, that whosoever breaks the seven seals will have unimaginable power and control over the new world promised through the Second Coming of Christ.The frantic hunt for the Seventh Seal begins. Through dusty caves, ancient churches, and even within the most secretive vault on earth, they search for clues to the possible resting place of the missing seal.The archaeologists are not alone. Another ancient secret brotherhood called the Guardians have long protected the Seven Seals, since the time John of Patmos entrusted to them the Seventh. Using their resources, they attempt to discover the identity of The Grand Keeper and impede his plans for global upheaval.As scientists, the archaeologists perceive their discovery as a historical relic and not a religious find. But with the forces aroused by the unearthing of the artefact, they start to question if there is indeed truth in the story.The Patmos Enigma will take you on a journey of wonders and thrills as it hurtles from dark truths to enlightening revelations as the war between science and mysticism commences.

    We’ve comea long way since then. With this book, Drs. Romero and Balch liftthe veil from many of these once-opaque concepts in high-techfinance. We can all benefit from learning how the cooperationbetween wetware and software creates fitter models. This bookdoes a fantastic job describing how the latest advances in financialmodeling and data science help today’s portfolio managerssolve these greater riddles. —Michael Himmel, ManagingPartner, Essex Asset ManagementI applaud Phil Romero’s willingness to write about the hedgefund world, an industry that is very private, often flamboyant,and easily misunderstood. As with every sector of the investmentlandscape, the hedge fund industry varies dramaticallyfrom quantitative “black box” technology, to fundamental researchand old-fashioned stock picking. This book helps investorsdistinguish between these diverse opposites and understandtheir place in the new evolving world of finance. —Mick Elfers,Founder and Chief Investment Strategist, Irvington Capital

    But can machines really think? Is the mind just a complicated computer program? Introducing Artificial Intelligence focuses on the issues behind one of science's most difficult problems.