Developed and class-tested by a distinguished team of authors at two universities, this text is intended for courses in nonlinear dynamics in either mathematics or physics. The only prerequisites are calculus, differential equations, and linear algebra. Along with discussions of the major topics, including discrete dynamical systems, chaos, fractals, nonlinear differential equations and bifurcations, the text also includes Lab Visits -- short reports that illustrate relevant concepts from the physical, chemical and biological sciences. There are Computer Experiments throughout the text that present opportunities to explore dynamics through computer simulations, designed for use with any software package. And each chapter ends with a Challenge, guiding students through an advanced topic in the form of an extended exercise.
Co-author J.A. Yorke developed an array of tools to help visualize the properties of dynamical systems, while Yorke found it useful to combine these various basic tools into one single package: Dynamics. The program together with this manual provides an introduction to and an overview of fundamental, sophisticated tools and numerical methods together with many simple examples. All numerical methods described in this handbook are implemented in the program, which is capable of, among others: iterating maps and solving differential equations; plotting trajectories; featuring an array of simple commands; printing a created picture in resolution higher than that of the screen. Requires a UNIX workstation running X11 graphics or a PC.
Although nearly 7 million people live along the southeast Florida coast, scarcely three generations ago it was a wild, lawless frontier ruled by bears, snakes and alligators. But when a lighthouse was built at Jupiter Inlet in 1860, it became the hub for hunters, surveyors, Civil War blockade runners, Union gunboats and pioneer farmers. A Light in the Wilderness, with over seventy rare photos, maps and letters, tells how southeast Florida survived the catharsis of the Civil War, how the lighthouse at Jupiter drew the first families into its orbit, and how it became a key link in the steamboat-railroad path that led people to the "Garden of Eden.
The messages of the several Presidents of the United States—annual, veto, and special—are among the most interesting, instructive, and valuable contributions to the public literature of our Republic. They discuss from the loftiest standpoint nearly all the great questions of national policy and many subjects of minor interest which have engaged the attention of the people from the beginning of our history, and so constitute important and often vital links in their progressive development. The proclamations, also, contain matter and sentiment no less elevating, interesting, and important. They inspire to the highest and most exalted degree the patriotic fervor and love of country in the hearts of the people. It is believed that legislators and other public men, students of our national history, and many others will hail with satisfaction the compilation and publication of these messages and proclamations in such compact form as will render them easily accessible and of ready reference. The work can not fail to be exceedingly convenient and useful to all who have occasion to consult these documents. The Government has never heretofore authorized a like publication. In executing the commission with which I have been charged I have sought to bring together in the several volumes of the series all Presidential proclamations, addresses, messages, and communications to Congress excepting those nominating persons to office and those which simply transmit treaties, and reports of heads of Departments which contain no recommendation from the Executive. The utmost effort has been made to render the compilation accurate and exhaustive. Although not required by the terms of the resolution authorizing the compilation, it has been deemed wise and wholly consistent with its purpose to incorporate in the first volume authentic copies of the Declaration of Independence, the Articles of Confederation, and the Constitution of the United States, together with steel engravings of the Capitol, the Executive Mansion, and of the historical painting the "Signing of the Declaration of Independence." Steel portraits of the Presidents will be inserted each in its appropriate place.
The “highly entertaining” New York Times bestseller, which explains chaos theory and the butterfly effect, from the author of The Information (Chicago Tribune). For centuries, scientific thought was focused on bringing order to the natural world. But even as relativity and quantum mechanics undermined that rigid certainty in the first half of the twentieth century, the scientific community clung to the idea that any system, no matter how complex, could be reduced to a simple pattern. In the 1960s, a small group of radical thinkers began to take that notion apart, placing new importance on the tiny experimental irregularities that scientists had long learned to ignore. Miniscule differences in data, they said, would eventually produce massive ones—and complex systems like the weather, economics, and human behavior suddenly became clearer and more beautiful than they had ever been before. In this seminal work of scientific writing, James Gleick lays out a cutting edge field of science with enough grace and precision that any reader will be able to grasp the science behind the beautiful complexity of the world around us. With more than a million copies sold, Chaos is “a groundbreaking book about what seems to be the future of physics” by a writer who has been a finalist for both the Pulitzer Prize and the National Book Award, the author of Time Travel: A History and Genius: The Life and Science of Richard Feynman (Publishers Weekly).
Most writers associated with the first generation of British Romanticism - Blake, Coleridge, Wordsworth, Southey, Thelwall, and others - wrote against the slave trade. This edition collects a corpus of work which reflects the issues and theories concerning slavery and the status of the slave.
Details the life and exploits of the privateer who served Elizabeth I, battled against the Spanish Armada, and attempted to find the Northwest Passage.
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