World History

    It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

    The addition of this book is a must for all upper-level Christian school curricula and for college students and adults interested in math or related fields of science and religion. It will serve as a solid refutation for the claim, often made in court, that mathematics is one subject, which cannot be taught from a distinctively Biblical perspective.

    Over five decades, Star Trek's celebration of mankind's technical achievements and positive view of the future have earned it an enduring place in our global culture. Its scientific vision has also had a profound effect on the past thirty years of technological breakthroughs. Join William Shatner, the original captain of the Starship Enterprise, as he reveals how Star Trek has influenced and inspired some of our greatest scientific minds -- the people behind the future we will all share. In interviews with dozens of scientists we learn about the inventions that will revolutionise our lives and the discoveries that will make it truly possible to explore the last great frontier -- space. As one Nobel Laureate commented on being shown a wood and plastic model of the engine core from a Star Trek: The Next Generation starship: I'm working on that. From the technicalities of warp speed to real-life replicators to the likelihood of our being able to beam across continents, this always-informative book takes us on a fascinating and eye-opening voyage to

     Free History BONUS Inside! When the first settlers reached the United States of America and started to chip out a living in the wilderness that seemed so fierce and unfamiliar to their European eyes, they could never have dreamed that someday the land upon which they stood would become one of the most powerful countries in the entire world. When Native Americans first witnessed those white sails bringing ships with white sailors into their world for the first time, they could never have dreamed that within a few centuries their population would be all but destroyed, that they would have to endure massacre after massacre, be stripped of their freedom and confined to comparatively tiny reservations, and walk the Trail of Tears within the next few hundred years. When the preachers of the Great Awakening stood on the backs of wagons or bits of old tree stumps and told the American people a new story of individual freedom and the power of ordinary people, they could never have dreamed that their preaching would trigger a landslide of abolitionism that would end in a civil war that almost tore the entire country apart. When the Civil War was finally won by the Union, and all African Americans' chains were broken at last, the military leaders could never have dreamed that within the next half century, the United States would emerge as one of the world's greatest military powers during the Spanish-American War. And when those soldiers won the struggle against Spain in Cuba, they could never have dreamed that later in the century, Cuba itself would turn against them and become the single greatest threat of nuclear annihilation during the Cold War. When the Wright Brothers first took to the air and Thomas Edison made the lightbulb, they could never have dreamed that American innovation would produce not only the Ford car, basketball, the telephone, and Facebook, but it would also be instrumental in creating the atomic bombs that killed hundreds of thousands of people and finally brought an end to the Second World War. As for Martin Luther King, Jr., he did dream. He had a dream of equality and brotherhood, and his dream at least partially came true in 2008 when America saw the inauguration of its first black president. Never could the slaves of the great plantations of the South have dreamed that that day would ever come, but it did. Nobody could have dreamed it, but it all came to pass, and it became the history of the United States of America. And this is how it all happened... In The History of the United States: A Captivating Guide to American History, Including Events Such as the American Revolution, French and Indian War, Boston Tea Party, Pearl Harbor, and the Gulf War, you will discover topics such as The People Who Were There First A Time of Exploration Colonizing America The French and Indian War The Boston Tea Party The American Revolution The First President Restless Times Horrors for the Natives Awakening Civil War Seeking for Peace A Rising Power Progress Disaster Strikes The Biggest Bomb in the World Icy Tension Freedom on the Home Front Terror and Its War And much, much more! So if you want to learn more about the history of the United States, then sc

    This book leads the reader from simple graphs through planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. Includes exercises. 1976 edition.

    Among the estimated one hundred billion solar systems in the known universe, evolving life is surely abundant. That evolution is a process of becoming in each case. Since Newton, we have turned to physics to assess reality. Butphysics alone cannot tell us where we came from, how we arrived, and why our world has evolved past the point of unicellular organisms to an extremely complex biosphere.Building on concepts from his work as a complex systems researcher at the Santa Fe Institute, Kauffman focuses in particular on the idea of cells constructing themselves and introduces concepts such as constraint closure. Living systems are defined by the concept of organization which has notbeen focused on in enough in previous works. Cells are autopoetic systems that build themselves: they literally construct their own constraints on the release of energy into a few degrees of freedom that constitutes the very thermodynamic work by which they build their own self creating constraints.Living cells are machines that construct and assemble their own working parts. The emergence of such systems-the origin of life problem-was probably a spontaneous phase transition to self-reproduction in complex enough prebiotic systems. The resulting protocells were capable of Darwin's heritablevariation, hence open-ended evolution by natural selection. Evolution propagates this burgeoning organization. Evolving living creatures, by existing, create new niches into which yet further new creatures can emerge. If life is abundant in the universe, this self-constructing, propagating, exploding diversity takes us beyond physics to biospheres everywhere.

    They speak of it in awed terms and consider it to be an even more difficult problem than Fermat's last theorem, which was finally proven by Andrew Wiles in 1995.In The Riemann Hypothesis, acclaimed author Karl Sabbagh interviews some of the world's finest mathematicians who have spent their lives working on the problem--and whose approaches to meeting the challenges thrown up by the hypothesis are as diverse as their personalities.Wryly humorous, lively, accessible and comprehensive, The Riemann Hypothesis is a compelling exploration of the people who do math and the ideas that motivate them to the brink of obsession--and a profound meditation on the ultimate meaning of mathematics.

    Houses, health care and higher education have become unaffordable to a majority of people, while the burden of unregulated monopolies, globalization and uncontrolled immigration has fallen disproportionately on the lower and middle classes. Wrapped in political correctness, an increasingly out of touch Western elite continues catering to special interests and fails to grasp the urgency for change. Populist movements harnessing public anger appear unable to propose and implement effective solutions. The last financial crisis was bad enough. But the next crisis will spread deeper and wider. And yet we stand economically, politically and most of all intellectually unprepared. This book is the story of how we have arrived at the brink of disaster and how we can move away from the win-lose policies of recent decades to restore much-needed balance.

     Do we have free will? And if we don’t, why do we feel as if we do? In a godless universe governed by impersonal laws of cause and effect, are you responsible for your actions? Former evangelical minister Dan Barker (God: The Most Unpleasant Character in All Fiction) unveils a novel solution to the question that has baffled scientists and philosophers for millennia. He outlines the concept of what he calls “harmonic free will,” a two-dimensional perspective that pivots the paradox on its axis to show that there is no single answer—both sides are right. Free will is a useful illusion: not a scientific, but a social truth.

    I also hope that it will serve as a useful reference too for the many workers engaged in one type of solid state research activity or another, who may be without formal training in the subject.

    At the same time adjacent portions of philosophy and logic are discussed. To the existence of what objects may a given scientific theory be said to be committed? And what considerations may suitably guide us in accepting or revising such ontological commitments? These are among the questions dealt with in this book, particular attention being devoted to the role of abstract entities in mathematics. There is speculation on the mechanism whereby objects of one sort or another come to be posited a process in which the notion of identity plays an important part."This volume of essays has a unity and bears throughout the imprint of Quine's powerful and original mind. It is written with the felicity in the choice of words which makes everything that Quine writes a pleasure to read, and which ranks him among the best contemporary writers on abstract subjects." (Cambridge Review)"Professor Quine's challenging and original views are here for the first time presented as a unity. The chief merit of the book is the heart-searching from which it arose and to which it will give rise. In vigour, conciseness, and clarity, it is characteristic of its author." (Oxford Magazine)

    Book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include: Fundamentals and Algorithms; Polynomial Approximation — Classical Theory; Fourier Approximation — Modern Theory; and Exponential Approximation.

    The approach taken here uses elementary versions of modern methods found in sophisticated mathematics. The formal prerequisites include only a term of linear algebra, a nodding acquaintance with the notation of set theory, and a respectable first-year calculus course (one which at least mentions the least upper bound (sup) and greatest lower bound (inf) of a set of real numbers). Beyond this a certain (perhaps latent) rapport with abstract mathematics will be found almost essential.

    Each chapter includes many illustrative examples to assist the reader. The book emphasizes methods for finding solutions to differential equations. It provides many abundant exercises, applications, and solved examples with careful attention given to readability. Elementary Differential Equations includes a thorough treatment of power series techniques. In addition, the book presents a classical treatment of several physical problems to show how Fourier series become involved in the solution of those problems. The eighth edition of Elementary Differential Equations has been revised to include a new supplement in many chapters that provides suggestions and exercises for using a computer to assist in the understanding of the material in the chapter. It also now provides an introduction to the phase plane and to different types of phase portraits. A valuable reference book for readers interested in exploring the technological and other applications of differential equations.