Professor Westfall treats all aspects of Newton's career, but his account centres on a full description of Newton's achievements in science. Thus the core of the work describes the development of the calculus, the experimentation that altered the direction of the science of optics, and especially the investigations in celestial dynamics that led to the law of universal gravitation.

    Mathematics: The Loss of Certainty refutes that myth.

    Decades ago, astronauts brought back 850 pounds of rocks from their lunar journeys; the U.S. gave some away as “goodwill” gifts to the world’s nations. Over time, many of them disappeared, stolen or lost in the aftermath of political turmoil, and offered for millions on the black market. Gutheinz, first as a NASA investigator and then the leader of a intrepid group of students, has dedicated his life to getting them back. Author Joe Kloc tells a wild story of geopolitics, crime, science, and one man’s obsession with keeping the moon out of the wrong hands.

    Written with student centred, pedagogically driven approach, the text provides a self-contained introduction to the theory of signals and systems. This book looks at the concepts of systems, and also examines signals and the way that signals interact with physical systems. It covers topics ranging from basic signals and systems to signal analysis, properties of continuous-time Fourier transforms including Fourier transforms of standard signals, signal transmission through linear systems, relation between convolution and correlation of signals, sampling theorems and techniques, and transform analysis of LTI systems. All the solved and unsolved problems in this book are designed to illustrate the topics in a clear way.

    From the classroom to the courtroom and from financial markets to supermarkets, Mlodinow's intriguing and illuminating look at how randomness, chance, and probability affect our daily lives will intrigue, awe, and inspire.

    This essay by Copernicus (1473-1543), revolutionized the way we look at the earth's placement in the universe, and paved the way for many great scientists, including Galileo and Isaac Newton, whose theories stemmed from this model. Featuring a biography of Copernicus and an accessible, enlightening introduction, both written by the renowned physicist Stephen Hawking, On the Revolution of Heavenly Spheres provides a fascinating look at the theories which shaped our modern understanding of astronomy and physics.

    Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    With his trademark elegant prose, eye for lively detail, and gift for lucid explanation, Professor von Baeyer turns the contemplation of a cooling coffee cup into a beguiling portrait of the birth of a science with relevance to almost every aspect of our lives.

    Early beginnings in antiquity, medieval contributions, and a century of anticipation lead up to a consideration of Newton and Leibniz, the period of indecison that followed them, and the final rigorous formulation that we know today.

    Because of his studies of the Eskimos, his discoveries of land, the application of new ideas and new methods of exploration, Stefansson was considered the foremost polar explorer of his day, and one of the few great explorers of all time. During a period of three or four years Mr. Stefansson has produced a creditable list of books about the Arctic. In some respects his service in publishing the results of his Northern studies has differed from that of earlier explorers. He has challenged our preconceptions about the Arctic. “Hunters of the Great North” gives details of Northern life such as have doubtless come within the experience of all Arctic explorers, but which are new to the average American reader. In short, it is an elementary text-book of the Arctic. Stefansson lived among the Eskimos of the Mackenzie River, studying their language and adopting their mode of life, and spending ten winters and thirteen summers in the polar regions. Among Stefannson's most famous discovery was that of a race of blond Eskimo on Coronation Gulf. Stefansson writes: "In the present book I have tried by means of diaries and memory to go back to the vivid impressions of my first year among the Eskimos for the story of what I saw and heard." In describing his confrontation with a polar bear, Stefansson writes: “I heard behind me a noise like the spitting of a cat or the hiss of a goose. I looked back and saw, about twenty feet away and almost above me, a polar bear. I had overestimated the bear's distance from shore, and had passed the spot where he lay. From his eye and attitude, as well as the story his trail told afterward there was no doubting his intentions: the hiss was merely his way of saying, "Watch me do it!" Or at least that is how I interpreted it; possibly the motive was chivalry, and the hiss was his way of saying Garde!” Contents I. PREPARATIONS FOR A LIFEWORK OF EXPLORATION II. DOWN THE MACKENZIE RIVER THROUGH 2000 MILES OF INDIAN COUNTRY III. FIRST IMPRESSIONS OF THE ESKIMOS IV. CAPTAIN KLINKENBERG—SEA WOLF AND DISCOVERER V. THE WHALING FLEET SAILS AWAY VI. LEARNING TO LIVE AS AN ESKIMO—ON A DIET OF FISH WITHOUT SALT VII. HOW AN ESKIMO SAILED THROUGH THE STORM VIII. AN AUTUMN JOURNEY THROUGH ARCTIC MOUNTAINS IX. THE SUN GOES AWAY FOR THE WINTER X. LOST IN THE MACKENZIE DELTA XI. AN ARCTIC CHRISTMAS WITH AN ENGLISH COUNTRY GENTLEMAN XII. THE LIFE AT TUKTUYAKTOK XIII. LEARNING TO BUILD A SNOWHOUSE AND TO BE COMFORTABLE IN ONE XIV. TRAVELS AFTER THE SUN CAME BACK XV. WE GO IN SEARCH OF OUR OWN EXPEDITION XVI. A SPRING JOURNEY IN AN ESKIMO SKIN BOAT XVII. A RACE OVER THE ARCTIC MOUNTAINS IN SUMMER XVIII. ON A RAFT DOWN THE PORCUPINE RIVER SHORT STORIES OF ADVENTURE I. HOW I LEARNED TO HUNT CARIBOU II. HOW I LEARNED TO HUNT SEALS III. HOW WE HUNT POLAR BEARS

    Students, researchers, historians, specialists — in short, everyone with an interest in mathematics — will find it engrossing and stimulating.Beginning with the ancient Near East, the author traces the ideas and techniques developed in Egypt, Babylonia, China, and Arabia, looking into such manuscripts as the Egyptian Papyrus Rhind, the Ten Classics of China, and the Siddhantas of India. He considers Greek and Roman developments from their beginnings in Ionian rationalism to the fall of Constantinople; covers medieval European ideas and Renaissance trends; analyzes 17th- and 18th-century contributions; and offers an illuminating exposition of 19th century concepts. Every important figure in mathematical history is dealt with — Euclid, Archimedes, Diophantus, Omar Khayyam, Boethius, Fermat, Pascal, Newton, Leibniz, Fourier, Gauss, Riemann, Cantor, and many others.For this latest edition, Dr. Struik has both revised and updated the existing text, and also added a new chapter on the mathematics of the first half of the 20th century. Concise coverage is given to set theory, the influence of relativity and quantum theory, tensor calculus, the Lebesgue integral, the calculus of variations, and other important ideas and concepts. The book concludes with the beginnings of the computer era and the seminal work of von Neumann, Turing, Wiener, and others."The author's ability as a first-class historian as well as an able mathematician has enabled him to produce a work which is unquestionably one of the best." — Nature Magazine.

    The book is non-theoretical, explaining concepts intuitively and teaching problem solving through worked examples and step-by-step instructions. This edition places more emphasis on conceptual understanding and understanding results. This edition also features increased emphasis on Excel, MINITAB, and the TI-83 Plus and TI 84-Plus graphing calculators, computing technologies commonly used in such courses.

    When research suggests how to harness brain evolution, a hunt ensues for a missing link―one that allows to design humans with skills that prodigies of old would have envied.As germline engineering and biological enhancement have become routine, ancient doubts have emerged under new guises: Who are we? Is there a purpose to life? Why is there so much suffering? When faith and science fail to answer these questions, personal greed and national interest quickly fill the void. But gene selection is expensive, and many are excluded from its benefits. The stage is set for tribalism and social discontent on a scale without precedent, and those caught in the fray, whether by choice or by chance, must play roles not always to their liking in the struggle of all creatures against the arbitrariness of existence.

    And this language is mathematics." In The Language of Mathematics, award-winning author Keith Devlin reveals the vital role mathematics plays in our eternal quest to understand who we are and the world we live in. More than just the study of numbers, mathematics provides us with the eyes to recognize and describe the hidden patterns of life—patterns that exist in the physical, biological, and social worlds without, and the realm of ideas and thoughts within.Taking the reader on a wondrous journey through the invisible universe that surrounds us—a universe made visible by mathematics—Devlin shows us what keeps a jumbo jet in the air, explains how we can see and hear a football game on TV, allows us to predict the weather, the behavior of the stock market, and the outcome of elections. Microwave ovens, telephone cables, children's toys, pacemakers, automobiles, and computers—all operate on mathematical principles. Far from a dry and esoteric subject, mathematics is a rich and living part of our culture. An exploration of an often woefully misunderstood subject, The Language of Mathematics celebrates the simplicity, the precision, the purity, and the elegance of mathematics.

    They unearthed a treasure trove of Cretaceous dinosaurs and mammals, including several new species, that has already helped to reshape our understanding of the dinosaur age. In Dinosaurs of the Flaming Cliffs, team leader Michael Novacek, Provost of Science of the American Museum of Natural History and Curator of Vertebrate Paleontology, re-creates the day-to-day drama of field exploration over the past six years in the Gobi and recounts his and his colleagues' historic discoveries, reported in front-page headlines across the world. In a remarkable narrative that interweaves expedition chapters with in-depth scientific discussions on the nature and importance of the fossil record, Novacek takes us on a journey that explores the very nature of scientific inquiry and dinosaur research.