This book offers a full range of exercises, a precise and conceptual presentation, and a new media package designed specifically to meet the needs of today's readers. The exercises gradually increase in difficulty, helping readers learn to generalize and apply the concepts. The refined table of contents introduces the exponential, logarithmic, and trigonometric functions in Chapter 7 of the text.KEY TOPICS Functions, Limits and Continuity, Differentiation, Applications of Derivatives, Integration, Applications of Definite Integrals, Integrals and Transcendental Functions, Techniques of Integration, Further Applications of Integration, Conic Sections and Polar Coordinates, Infinite Sequences and Series, Vectors and the Geometry of Space, Vector-Valued Functions and Motion in Space, Partial Derivatives, Multiple Integrals, Integration in Vector Fields.MARKET For all readers interested in Calculus.

    Loosely based on the form of Chaucer's Canterbury Tales, Dawkins's Tale takes us modern humans back through four billion years of life on our planet. As the pilgrimage progresses, we join with other organisms at the forty "rendezvous points" where we find a common ancestor. The band of pilgrims swells into a vast crowd as we join first with other primates, then with other mammals, and so on back to the first primordial organism.Dawkins's brilliant, inventive approach allows us to view the connections between ourselves and all other life in a bracingly novel way. It also lets him shed bright new light on the most compelling aspects of evolutionary history and theory: sexual selection, speciation, convergent evolution, extinction, genetics, plate tectonics, geographical dispersal, and more. The Ancestor's Tale is at once a far-reaching survey of the latest, best thinking on biology and a fascinating history of life on Earth. Here Dawkins shows us how remarkable we are, how astonishing our history, and how intimate our relationship with the rest of the living world.

    As teen math prodigy Agnijo Banerjee and his teacher David Darling reveal, complex math surrounds us. If we think long enough about the universe, we're left not with material stuff, but a ghostly and beautiful set of equations. Packed with puzzles and paradoxes, mind-bending concepts, and surprising solutions, Weird Math leads us from a lyrical exploration of mathematics in our universe to profound questions about God, chance, and infinity. A magical introduction to the mysteries of math, it will entrance beginners and seasoned mathematicians alike.

    A prize of one million dollars was offered to anyone who could unravel it, but Perelman declined the winnings, and in doing so inspired journalist Masha Gessen to tell his story. Drawing on interviews with Perelman’s teachers, classmates, coaches, teammates, and colleagues in Russia and the United States—and informed by her own background as a math whiz raised in Russia—Gessen uncovered a mind of unrivaled computational power, one that enabled Perelman to pursue mathematical concepts to their logical (sometimes distant) end. But she also discovered that this very strength turned out to be Perelman's undoing and the reason for his withdrawal, first from the world of mathematics and then, increasingly, from the world in general.

    Its flexible organization (with all chapters complete and self-contained) allows instructors the freedom to cover the topics they want in the order they choose.

    The easy kind, practiced by ants, shrimp, Welsh corgis -- and us -- is innate. What innate calculating skills do we humans have? Leaving aside built-in mathematics, such as the visual system, ordinary people do just fine when faced with mathematical tasks in the course of the day. Yet when they are confronted with the same tasks presented as "math," their accuracy often drops. But if we have innate mathematical ability, why do we have to teach math and why do most of us find it so hard to learn? Are there tricks or strategies that the ordinary person can do to improve mathematical ability? Can we improve our math skills by learning from dogs, cats, and other creatures that "do math"? The answer to each of these questions is a qualified yes. All these examples of animal math suggest that if we want to do better in the formal kind of math, we should see how it arises from natural mathematics. From NPR's "Math Guy" -- The Math Instinct will provide even the most number-phobic among us with confidence in our own mathematical abilities.

    The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader's view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central ideas. The unity between topics is emphasized throughout, with no risk of getting lost in details and technicalities. The book breaks with tradition by beginning with the QR factorization - an important and fresh idea for students, and the thread that connects most of the algorithms of numerical linear algebra.

    This gorgeous book features clear, entertaining, and enlightening commentary alongside stunning full-color illustrations by Venezuelan artist and architect Rafael Araujo. From the pyramids of Giza, to quasicrystals, to the proportions of the human face, the golden ratio has an infinite capacity to generate shapes with exquisite properties.  With its lush format and layflat dimensions that closely approximate the golden ratio, this is the ultimate coffee table book for math enthusiasts, architects, designers, and fans of sacred geometry.

    In the book, Sagan explores 15 billion years of cosmic evolution and the development of science and civilization. Cosmos traces the origins of knowledge and the scientific method, mixing science and philosophy, and speculates to the future of science. The book also discusses the underlying premises of science by providing biographical anecdotes about many prominent scientists throughout history, placing their contributions into the broader context of the development of modern science.The book covers a broad range of topics, comprising Sagan's reflections on anthropological, cosmological, biological, historical, and astronomical matters from antiquity to contemporary times. Sagan reiterates his position on extraterrestrial life—that the magnitude of the universe permits the existence of thousands of alien civilizations, but no credible evidence exists to demonstrate that such life has ever visited earth.

    Now, in Egyptian Mythology, Geraldine Pinch offers a comprehensive introduction thatuntangles the mystery of Egyptian Myth.Spanning Ancient Egyptian culture--from 3200 BC to AD 400--Pinch opens a door to this hidden world and casts light on its often misunderstood belief system. She discusses the nature of myths and the history of Egypt, from the predynastic to the postpharaonic period. She explains how Egyptian culturedeveloped around the flooding of the Nile, or the inundation, a phenomenon on which the whole welfare of the country depended, and how aspects of the inundation were personified as deities. She explains that the usually cloudless skies made for a preoccupation with the stars and planets. Indeed, much early Egyptian mythology may have developed to explain the movement of these celestial bodies. She provides a timeline covering the seven stages in the mythical history of Egypt and outlining the major events of each stage, such as the reign of the sun God. A substantial A to Z section coversthe principal themes and concepts of Egyptian mythology as well as the most important deities, demons, and other characters. For anyone who wants to know about Anubis, the terrifying canine god who presided over the mummification of bodies and guarded burials, or Hathor, the golden goddess whohelped women to give birth and the dead to be reborn, or an explanation of the nun, the primeval ocean from which all life came, Egyptian Mythology is the place to look.

    From the sudden expansion of a cloud of gas to the cooling of hot metal--everything is moved or restrained by four simple laws. Written by Peter Atkins, one of the world's leading authorities on thermodynamics, this powerful and compact introduction explains what these four laws are and how they work, using accessible language and virtually no mathematics. Guiding the reader a step at a time, Atkins begins with Zeroth (so named because the first two laws were well established before scientists realized that a third law, relating to temperature, should precede them--hence the jocular name zeroth), and proceeds through the First, Second, and Third Laws, offering a clear account of concepts such as the availability of work and the conservation of energy. Atkins ranges from the fascinating theory of entropy (revealing how its unstoppable rise constitutes the engine of the universe), through the concept of free energy, and to the brink, and then beyond the brink, of absolute zero. About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    It is so important that it provides the fundamental underpinning of all modern sciences. Without it, we'd have no nuclear power or nuclear bombs, no lasers, no TV, no computers, no science of molecular biology, no understanding of DNA, no genetic engineering—at all. John Gribbin tells the complete story of quantum mechanics, a truth far stranger than any fiction. He takes us step-by-step into an ever more bizarre and fascinating place—requiring only that we approach it with an open mind. He introduces the scientists who developed quantum theory. He investigates the atom, radiation, time travel, the birth of the universe, superconductors and life itself. And in a world full of its own delights, mysteries and surprises, he searches for Schrödinger's Cat—a search for quantum reality—as he brings every reader to a clear understanding of the most important area of scientific study today—quantum physics.

    It is a world populated by ineffectual wizards and sharp-as-tacks witches, by tired policemen and devious dictators, by reformed thieves and vampires who have sworn to drink no blood. It is a world that is vastly different from our own . . . except when it isn't.Now, in The Wit and Wisdom of Discworld, various nuggets of Pratchett's witty commentary and sagacious observations have been compiled by Pratchett expert Stephen Briggs, a man who, they say, knows even more about Discworld than Terry Pratchett.Within these pages, you'll find musings on:Interior decorating: "It's a fact known throughout the universes that no matter how carefully the colors are chosen, institutional decor ends up as either vomit green, unmentionable brown, nicotine yellow, or surgical appliance pink. By some little-understood process of sympathetic resonance, corridors painted in those colors always smell slightly of boiled cabbage—even if no cabbage is ever cooked in the vicinity." (Equal Rites)Travel: "Any seasoned traveler soon learns to avoid anything wished on them as a 'regional speciality,' because all the term means is that the dish is so unpleasant the people living everywhere else will bite off their own legs rather than eat it. But hosts still press it upon distant guests anyway: 'Go on, have the dog's head stuffed with macerated cabbage and pork noses—it's a regional speciality.'" (The Last Continent)Young men: "And then there was the young male walk. At least women swung only their hips. Young men swung everything, from the shoulders down. You have to try to occupy a lot of space. It makes you look bigger, like a tomcat fluffing his tail. The boys tried to walk big in self-defense against all those other big boys out there. I'm bad, I'm fierce, I'm cool, I'd like a pint of shandy and me mam wants me home by nine." (Monstrous Regiment)Class: "'Old money' meant that it had been made so long ago that the black deeds that had originally filled the coffers were now historically irrelevant. Funny, that; a brigand for a father was something you kept quiet about, but a slave-taking pirate for a great-great-great-grandfather was something to boast of over the port. Time turned the evil bastards into rogues, and rogue was a word with a twinkle in its eye and nothing to be ashamed of." (Making Money). . . and more culled from all the Discworld novels.

    Against this backdrop stands Mallory Ringer, who penetrates the Solid State Entity. There he makes a discovery. One that could unlock the secret of immortality.

    They reveal why general anesthesia is as dangerous as a parachute jump, giving birth in the US is nearly twice as risky as in the UK, and that the radiation from eating a banana shaves 3 seconds off your life. An entertaining guide to the statistics of personal risk, The Norm Chronicles will enlighten anyone who has ever worried about the dangers we encounter in our daily lives.