Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    . . . Readers will never again look into the night sky the same way.” —MICHAEL SHERMER, author of The Believing Brain on Parallax: The Race to Measure the CosmosIn 1930, Edwin Hubble announced the greatest discovery in the history of astronomy since Galileo first turned a telescope to the heavens. The galaxies, previously believed to float serenely in the void, are in fact hurtling apart at an incredible speed; the universe is expanding. This stunning discovery was the culmination of a decades-long arc of scientific and technical advancement. In its shadow lies an untold, yet equally fascinating, backstory whose cast of characters illuminates the gritty, hard-won nature of scientific progress.The path to a broader mode of cosmic observation was blazed by a cadre of 19th-century amateur astronomers and inventors, galvanized by the advent of photography, spectral analysis, and innovative technology to create the entirely new field of astrophysics. From William Bond, who turned his home into a functional observatory, to John and Henry Draper, a father and son team who were trailblazers of astrophotography and spectroscopy, to geniuses of invention such as Léon Foucault, and George Hale, who founded the Mount Wilson Observatory, Hirshfeld reveals the incredible stories—and the ambitious dreamers—behind the birth of modern astronomy.Alan Hirshfeld, Professor of Physics at the University of Massachusetts Dartmouth and an Associate of the Harvard College Observatory, is the author of Parallax: The Race to Measure the Cosmos, The Electric Life of Michael Faraday, and Eureka Man: The Life and Legacy of Archimedes.

    Despite this, he has remained inaccessible to most modern readers, indisputably great but undeniably remote. In this witty, engaging, and often moving examination of Newton's life, David Berlinski recovers the man behind the mathematical breakthroughs. The story carries the reader from Newton's unremarkable childhood to his awkward undergraduate days at Cambridge through the astonishing year in which, working alone, he laid the foundation for his system of the world, his Principia Mathematica, and to the subsequent monumental feuds that poisoned his soul and wearied his supporters. An edifying appreciation of Newton's greatest accomplishment, Newton's Gift is also a touching celebration of a transcendent man.

    It provides a simple, thorough survey of elementary topics, starting with set theory and advancing to metric and topological spaces, connectedness, and compactness. 1975 edition.

    Amazon best-selling author and professional trader, Matthew Kratter will teach you everything you need to know to day trade stocks-- and to avoid getting wiped out. And if you ever get stuck, you can always reach out to him by email (provided inside of the book), and he will help you. To start making money today, scroll to the top of this page and click BUY NOW.

    

    In the Fourth Edition CALCULUS, EARLY TRANSCENDENTALS these functions are introduced in the first chapter and their limits and derivatives are found in Chapters 2 and 3 at the same time as polynomials and other elementary functions. In this Fourth Edition, Stewart retains the focus on problem solving, the meticulous accuracy, the patient explanations, and the carefully graded problems that have made these texts word so well for a wide range of students. All new and unique features in CALCULUS, FOURTH EDITION have been incorporated into these revisions also.

    

    It resurrects from the vaults of neglect the polymath Jerome Cardano, a Milanese of the sixteenth century. Who is he? A gambler and blasphemer, inventor and chancer, plagued by demons and anxieties, astrologer to kings, emperors and popes. This stubborn and unworldly man was the son of a lawyer and a brothel keeper, but also a gifted physician and the unacknowledged discoverer of the mathematical foundations of quantum physics. That is the argument of this charming and intoxicatingly clever book, which is truly original in its style, and in the manner of the modernists embodies in its very form its theories about the world.'The Quantum Astrologer’s Handbook' is a science book with the panache of a novel, for readers of Carlo Rovelli or Umberto Eco. It is a work of and about genius.

    That collaboration would mark the dawn of modern science . . . and end in murder.Johannes Kepler changed forever our understanding of the universe with his three laws of planetary motion. He demolished the ancient model of planets moving in circular orbits and laid the foundation for the universal law of gravitation, setting physics on the course of revelation it follows to this day. Kepler was one of the greatest astronomers of all time. Yet if it hadn't been for the now lesser-known Tycho Brahe, the man for whom Kepler apprenticed, Kepler would be a mere footnote in today's science books. Brahe was the Imperial Mathematician at the court of the Holy Roman Emperor in Prague and the most famous astronomer of his era. He was one of the first great systematic empirical scientists and one of the earliest founders of the modern scientific method. His forty years of planetary observations—an unparalleled treasure of empirical data—contained the key to Kepler's historic breakthrough. But those observations would become available to Kepler only after Brahe's death. This groundbreaking history portrays the turbulent collaboration between these two astronomers at the turn of the seventeenth century and their shattering discoveries that would mark the transition from medieval to modern science. But that is only half the story. Based on recent forensic evidence (analyzed here for the first time) and original research into medieval and Renaissance alchemy—all buttressed by in-depth interviews with leading historians, scientists, and medical specialists—the authors have put together shocking and compelling evidence that Tycho Brahe did not die of natural causes, as has been believed for four hundred years. He was systematically poisoned—most likely by his assistant, Johannes Kepler. An epic tale of murder and scientific discovery, Heavenly Intrigue reveals the dark side of one of history’s most brilliant minds and tells the story of court politics, personal intrigue, and superstition that surrounded the protean invention of two great astronomers and their quest to find truth and beauty in the heavens above.

    Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

    Provides a review of introductory noncalculus-based physics for those who do not have a strong background in mathematics.

    Gerard 't Hooft was closely involved in many of the advances in modern theoretical physics that led to improved understanding of elementary particles, and this is a first-hand account of one of the most creative and exciting periods of discovery in the history of physics. Using language a layperson can understand, this narrative touches on many central topics and ideas, such as quarks and quantum physics; supergravity, superstrings and superconductivity; the Standard Model and grand unification; eleven-dimensional space time and black holes. This fascinating personal account of the past thirty years in one of the most dramatic areas in twentieth-century physics will be of interest to professional physicists and physics students, as well as the educated general reader with an interest in one of the most exciting scientific detective stories ever.

    In this groundbreaking work, renowned physicist Gordon Kane first gives us the basics of the Standard Model, which describes the fundamental constituents and forces of nature. He then explains the next great leap in understanding: the theory of supersymmetry, which implies that each of the fundamental particles has a "superpartner" that can be detected at energies and intensities only now being achieved in the giant accelerators. If Kane and his colleagues are correct, these superpartners will also help solve many of the puzzles of modern physics-such as the existence of the Higgs boson-as well as one of the biggest mysteries is cosmology: the notorious "dark matter" of the universe.

    Uncle John and his loony lab partners will take you back to the Big Bang and forward to the distant future. You’ll see the science in everything around (and inside) you, and learn the truth about the most egregious science myths (such as—you can’t “sweat like a pig” because pigs don’t sweat). How many amazing facts await your visual cortex in these 494 pages made up of atoms (print version) or bits and bytes (e-book)? As Carl Sagan would have said, “Billions and Billions!” So put on your thinking cap and check out…Pluto deniedKitchen chemistryFootball gets physics-alPlanet Earth’s sudden hot flashesFood’s incredible journey…through youThe science of surfing, skating, and snowboardingHow they plugged the hole in the ozone layerHow “defenseless” animals stay aliveSci-fi that’s more fi than sciAncient astronomersKnow your cloudsAnd much, much more!