New co-authors--Irl Bivens and Stephen Davis--from Davidson College; both distinguished educators and writers.* More emphasis on graphing calculators in exercises and examples, including CAS capabilities of graphing calculators.* More problems using tabular data and more emphasis on mathematical modeling.

    Having just completed his masterpiece, The General Theory of Relativity—which provided a brand-new theory of gravity and promised a new perspective on the cosmos as a whole—he set out at once to share his excitement with as wide a public as possible in this popular and accessible book.Here published for the first time as a Penguin Classic, this edition of Relativity features a new introduction by bestselling science author Nigel Calder.

    . . refuge and home to poets and gangsters, tycoons and politicians, preachers and outlaws, musicians and spiritualists, outcasts and rebels . . . Stephen Silverman and Raphael Silver tell of the turning points that made the Catskills so vital to the development of America: Henry Hudson’s first spotting the distant blue mountains in 1609; the New York State constitutional convention, resulting in New York’s own Declaration of Independence from Great Britain and its own constitution, causing the ire of the invading British army . . . the Catskills as a popular attraction in the 1800s, with the construction of the Catskill Mountain House and its rugged imitators that offered WASP guests “one-hundred percent restricted” accommodations (“Hebrews will knock vainly for admission”), a policy that remained until the Catskills became the curative for tubercular patients, sending real-estate prices plummeting and the WASP enclave on to richer pastures . . . Here are the gangsters (Jack “Legs” Diamond and Dutch Schultz, among them) who sought refuge in the Catskill Mountains, and the resorts that after World War II catered to upwardly mobile Jewish families, giving rise to hundreds of hotels inspired by Grossinger’s, the original “Disneyland with knishes”—the Concord, Brown’s Hotel, Kutsher’s Hotel, and others—in what became known as the Borscht Belt and Sour Cream Alps, with their headliners from movies and radio (Phil Silvers, Eddie Cantor, Milton Berle, et al.), and others who learned their trade there, among them Moss Hart (who got his start organizing summer theatricals), Sid Caesar, Lenny Bruce, Mel Brooks, Woody Allen, and Joan Rivers. Here is a nineteenth-century America turning away from England for its literary and artistic inspiration, finding it instead in Washington Irving’s “Rip Van Winkle” and his childhood recollections (set in the Catskills) . . . in James Fenimore Cooper’s adventure-romances, which provided a pastoral history, describing the shift from a colonial to a nationalist mentality . . . and in the canvases of Thomas Cole, Asher B. Durand, Frederick Church, and others that caught the grandeur of the wilderness and that gave texture, color, and form to Irving’s and Cooper’s imaginings. Here are the entrepreneurs and financiers who saw the Catskills as a way to strike it rich, plundering the resources that had been likened to “creation,” the Catskills’ tanneries that supplied the boots and saddles for Union troops in the Civil War . . . and the bluestone quarries whose excavated rock became the curbs and streets of the fast-growing Eastern Seaboard.  Here are the Catskills brought fully to life in all of their intensity, beauty, vastness, and lunacy.

    Those first pioneering citizens of the Big Easy were thieves, vagabonds and criminals of all kinds. By the time Louisiana fell under American control, New Orleans had become a city of debauchery and corruption camouflaged by decadence. It was also considered one of the country's most dangerous cities, with a reputation of crime and loose morals. Rampant gambling and prostitution were the norm in nineteenth-century New Orleans, and over one-third of today's French Quarter was considered a hotbed of sin. Tales in this volume include that of the notorious Axeman who plagued the streets of the Crescent City in the early 1900s and Kate Townsend, a prostitute who was murdered by her own lover, a man who later was awarded her inheritance.

    The new edition provides invitations - not requirements - to use technology, as well as new conceptual problems, and new projects that focus on writing and working in teams.

    Even when dealing with standard material, Stillwell manages to dramatize it and to make it worth rethinking. In short, his book is a splendid addition to the genre of works that build royal roads to mathematical culture for the many." (Mathematical Intelligencer)This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added, as well as commentary to the exercises explaining how they relate to the preceding section, and how they foreshadow later topics.

    Many new exercises introduced in this edition help supplement and support explanations, aid in review, and make the book visually stimulating. This edition also includes a revised Logic tutorial on CD-Rom--further simplifying the study of logic. Includes many fascinating illustrations taken from the history of science as well as from contemporary research in the physical and biological sciences, plus introduces an abundance of new exercises throughout, complete with solutions for the first exercise in a set. Appropriate for those in business, education, political, or psychology careers.

    The ancient Greeks were so horrified by the implications of an endless number that they drowned the man who gave away the secret. And a German mathematician was driven mad by the repercussions of his discovery of transfinite numbers. Brian Clegg and Oliver Pugh’s brilliant graphic tour of infinity features a cast of characters ranging from Archimedes and Pythagoras to al-Khwarizmi, Fibonacci, Galileo, Newton, Leibniz, Cantor, Venn, Gödel and Mandelbrot, and shows how infinity has challenged the finest minds of science and mathematics. Prepare to enter a world of paradox.

    We currently see no evidence of any kind indicating that extraterrestrials exist outside of our solar system. But at this moment, millions of engineers, scientists, corporations, universities and entrepreneurs are racing to create the second intelligent species right here on planet earth. And we can see the second intelligent species coming from all directions in the form of self-driving cars, automated call centers, chess-playing and Jeopardy-playing computers that beat all human players, airport kiosks, restaurant tablet systems, etc. The frightening thing is that these robots will soon be eliminating human jobs in startling numbers. The first wave of unemployed workers is likely to be a million truck drivers who are replaced by self-driving trucks. Pilots will be eliminated soon as well. Then, as new computer vision systems come online, we will see tens of millions of workers in retail stores, fast food restaurants and construction sites replaced by robots. Unless we take steps now to change the economy, we will soon have tens of millions of workers who are unemployed and seeking welfare because they will have no other choice. Marshall Brain's new book "The Second Intelligent Species: How Humans Will Become as Irrelevant as Cockroaches" explores how the future will unfold as the second intelligent species emerges. The book answers questions like: - How will new computer vision systems affect the job market? - How many people will become unemployed by the second intelligent species? - What will happen to millions of newly unemployed workers? - How can modern society and modern economies cope with run-away unemployment caused by robots? - What will happen when the first sentient, conscious computer appears? - What moral and ethical principles will guide the second intelligent species? - Why do we see no extraterrestrials in our universe? "The Second Intelligent Species" offers a unique and fascinating look at the future of the human race, and the choices we will need to make to avoid massive unemployment and poverty worldwide as intelligent machines start eliminating millions of jobs.

    By introducing us to the major characters and leading us through many historical twists and turns, Johnny slowly unravels the tale of how humanity built up a knowledge and understanding of shapes, numbers and patterns from ancient times, a story that leads directly to the technological wonderland we live in today. As Galileo said, 'Everything in the universe is written in the language of mathematics', and Wonders Beyond Numbers is your guide to this language.Mathematics is only one part of this rich and varied tale; we meet many fascinating personalities along the way, such as a mathematician who everyone has heard of but who may not have existed; a Greek philosopher who made so many mistakes that many wanted his books destroyed; a mathematical artist who built the largest masonry dome on earth, which builders had previously declared impossible; a world-renowned painter who discovered mathematics and decided he could no longer stand the sight of a brush; and a philosopher who lost his head, but only after he had died.Enriched with tales of colourful personalities and remarkable discoveries, there is also plenty of mathematics for keen readers to get stuck into. Written in Johnny Ball's characteristically light-hearted and engaging style, this book is packed with historical insight and mathematical marvels; join Johnny and uncover the wonders found beyond the numbers.

    Providing a concise introduction to abstract algebra, this work unfolds some of the fundamental systems with the aim of reaching applicable, significant results.

    This book reveals how anyone can begin to visualize the enigmatic 'imaginary numbers' that first baffled mathematicians in the 16th century.

    Accounts of those psychedelic experiences, along with his interest in Eastern mystical religions, accompany the moving story of Aldous Huxley's later years with his wife, Laura. Huxley's fascination with the spiritual world remained with him throughout his life and never wavered through his final illness in 1963. THIS TIMELESS MOMENT takes the reader into the lively mind of one of the most profound thinkers of any generation.

    Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

    Yet geometry is so much more than shapes and numbers; indeed, it governs much of our lives—from architecture and microchips to car design, animated movies, the molecules of food, even our own body chemistry. And as Siobhan Roberts elegantly conveys in The King of Infinite Space, there can be no better guide to the majesty of geometry than Donald Coxeter, perhaps the greatest geometer of the twentieth century.Many of the greatest names in intellectual history—Pythagoras, Plato, Archimedes, Euclid— were geometers, and their creativity and achievements illuminate those of Coxeter, revealing geometry to be a living, ever-evolving endeavor, an intellectual adventure that has always been a building block of civilization. Coxeter's special contributions—his famed Coxeter groups and Coxeter diagrams—have been called by other mathematicians "tools as essential as numbers themselves," but his greatest achievement was to almost single-handedly preserve the tradition of classical geometry when it was under attack in a mathematical era that valued all things austere and rational.Coxeter also inspired many outside the field of mathematics. Artist M. C. Escher credited Coxeter with triggering his legendary Circle Limit patterns, while futurist/inventor Buckminster Fuller acknowledged that his famed geodesic dome owed much to Coxeter's vision. The King of Infinite Space is an elegant portal into the fascinating, arcane world of geometry.