We used to go to the movies. We used to speak of flicks, even flicking out. We used to stand in line with friends in delicious anticipation to buy tickets for a movie that got a rapturous review. We used to be ushered into blinding darkness within cavernous halls of downtown gilded-age theaters to look at enormous screens. And we might go without regard to when the feature began, enter in the middle, sit through its ending, its double-bill and shorts, and only then watch the beginning of what we wanted to see. A small personal triumph occurred when, seeing a flick with friends or family, you were the first one to get up to leave announcing that "this was the place in the movie where we came in."--
The theory of Fixed Points is one of the most powerful tools of modern mathematics. This book contains a clear, detailed and well-organized presentation of the major results, together with an entertaining set of historical notes and an extensive bibliography describing further developments and applications. From the reviews: "I recommend this excellent volume on fixed point theory to anyone interested in this core subject of nonlinear analysis." --MATHEMATICAL REVIEWS
Each night, we are able to gaze up at the night sky and look at the thousands of stars that stretch to the end of our individual horizons. But the stars we see are only those that make up our own Milky Way galaxy—but one of hundreds of billions in the whole of the universe, each separated by inconceivably huge tracts of empty space. In this book, astronomer James Geach tells the rich stories of both the evolution of galaxies and our ability to observe them, offering a fascinating history of how we’ve come to realize humanity’s tiny place in the vast universe. Taking us on a compelling tour of the state-of-the-art science involved in mapping the infinite, Geach offers a first-hand account of both the science itself and how it is done, describing what we currently know as well as that which we still do not. He goes back one hundred years to when scientists first proved the existence of other galaxies, tracking our continued improvement in the ability to collect and interpret the light that stars in faraway galaxies have emitted through space and time. He discusses examples of this rapidly accelerating research, from the initial discovery that the faint “spiral nebulae” were actually separate star systems located far beyond the Milky Way to the latest observations of the nature of galaxies and how they have evolved. He also delves into the theoretical framework and simulations that describe our current “world model” of the universe. With one hundred superb color illustrations, Galaxy is an illuminating guide to the choreography of the cosmos and how we came to know our place within it that will appeal to any stargazer who has wondered what was beyond their sight.
An introductory textbook on machine shop theory and practice, including information on basic machine tools, bench operations, metrology, and career opportunities in the machine trades.
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