An impassioned proponent of reason, rational self-interest, individualism, and laissez-faire capitalism, she expressed her unique views in numerous works of fiction and non-fiction that have been brought together for the first time in this one-of-a-kind volume.Containing excerpts from all her novels--including Atlas Shrugged, Anthem, and We The Living--The Ayn Rand Reader is a perfect introduction for those who have never read Rand, and provides teachers with an excellent guide to the basics of her viewpoint.

    The work of English clergyman, educator and Shakespearean scholar Edwin A. Abbott (1838-1926), it describes the journeys of A. Square [sic – ed.], a mathematician and resident of the two-dimensional Flatland, where women-thin, straight lines-are the lowliest of shapes, and where men may have any number of sides, depending on their social status.Through strange occurrences that bring him into contact with a host of geometric forms, Square has adventures in Spaceland (three dimensions), Lineland (one dimension) and Pointland (no dimensions) and ultimately entertains thoughts of visiting a land of four dimensions—a revolutionary idea for which he is returned to his two-dimensional world. Charmingly illustrated by the author, Flatland is not only fascinating reading, it is still a first-rate fictional introduction to the concept of the multiple dimensions of space. "Instructive, entertaining, and stimulating to the imagination." — Mathematics Teacher.

    "The Theory of Everything" presents the most complex theories, both past and present, of physics; yet it remains clear and accessible. It will enlighten readers and expose them to the rich history of scientific thought and the complexities of the universe in which we live.

    His public advocacy of the Copernican over the Aristotelian system of the universe flew directly in the face of biblical authority and ecclesiastical tradition. Condemned and placed under house arrest by the Inquisition, Galileo nonetheless devoted his last years to the completion of his Dialogues Concerning Two New Sciences, which deals with motion and the resistance of solids. The Two New Sciences, which Galileo called his most important work, may be regarded as the summary statement of a life devoted to scientific experimentation and free inquiry untrammeled by tradition and authority.

    You may find it for free on the web. Purchase of the Kindle edition includes wireless delivery.

    Modifying Copernicus's sun-centered model of the universe, Kepler's 1619 work went on to establish laws of planetary motion, forming the basis for Newton's discoveries some 60 years later. As part of our On the Shoulders of Giants series, this translation of the original edition of Kepler's monumental essay includes an insightful biography and a highly accessible summary putting into context the significance of Harmony of the World.

    He's covered extreme metal, extreme nostalgia, disposable art, disposable heroes, life on the road, life through the television, urban uncertainty and small-town weirdness. Through a variety of mediums and with a multitude of motives, he's written about everything he can think of (and a lot that he's forgotten). The world keeps accelerating, but the pop ideas keep coming.In Eating the Dinosaur, Klosterman is more entertaining and incisive than ever. Whether he's dissecting the boredom of voyeurism, the reason why music fans inevitably hate their favorite band's latest album, or why we love watching can't-miss superstars fail spectacularly, Klosterman remains obsessed with the relationship between expectation, reality, and living history. It's amateur anthropology for the present tense, and sometimes it's incredibly funny.

    W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.

    Our aim will be to show why instruction which fails to quicken activity, why knowledge which enfeebles activity, why history as a costly intellectual excess and luxury must, in the spirit of Goethe’s words, be seriously hated; for we still lack what is most necessary, and superfluous excess is the enemy of the necessary. Certainly we need history. But our need for history is quite different from that of the spoiled idler in the garden of knowledge, even if he in his refinement looks down on our rude and graceless requirements and needs. That is, we require history for life and action, not for the smug avoiding of life and action, or even to whitewash a selfish life and cowardly, bad acts. Only so far as history serves life will we serve it: but there is a degree of doing history and an estimation of it which brings with it a withering and degenerating of life: a phenomenon which is now as necessary as it may be painful to bring to consciousness through some remarkable symptoms of our age."

    Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical―that what is commonly called mathematics is simply later deductions from logical premises.His ideas have had a profound influence on twentieth-century work on logic and the foundations of mathematics.

    The title comes from Asimov's breakthrough short story.CONTENTS:Nightfall - Astounding, Sept 1941Green Patches - Galaxy, Nov 1950Hostess - Galaxy, May 1951Breeds There a Man . . . ? - Astounding, June 1951C-Chute - Galaxy, Oct 1951In a Good Cause - "New Tales of Space & Time", 1951What If--- - Fantastic, Summer 1952Sally - Fantastic, June 1953Flies - F&SF, June 1953Nobody Here But--- - Star SF #1, 1953It's Such a Beautiful Day - Star SF #3, 1954Strikebreaker - Original SF Stories, Jan 1957Insert Knob A in Hole B - F&SF, Dec 1957The Up-to-Date Sorcerer - F&SF, July 1958Unto the Fourth Generation - F&SF, April 1959What is this Thing Called Love? - Amazing, March 1961The Machine That Won the War - F&SF, Oct 1961My Son, the Physicist - Scientific American, Feb 1962Eyes Do More Than See - F&SF, April 1965Segregationist - Abbottempo, Book 4, 1967

    But are there limits to what we can discover about our physical universe?In this very personal journey to the edges of knowledge, Marcus du Sautoy investigates how leading experts in fields from quantum physics and cosmology, to sensory perception and neuroscience, have articulated the current lie of the land. In doing so, he travels to the very boundaries of understanding, questioning contradictory stories and consulting cutting edge data.Is it possible that we will one day know everything? Or are there fields of research that will always lie beyond the bounds of human comprehension? And if so, how do we cope with living in a universe where there are things that will forever transcend our understanding?In What We Cannot Know, Marcus du Sautoy leads us on a thought-provoking expedition to the furthest reaches of modern science. Prepare to be taken to the edge of knowledge to find out if there’s anything we truly cannot know.

    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.

    Originally published in 1637, it has been characterized as "the greatest single step ever made in the progress of the exact sciences" (John Stuart Mill); as a book which "remade geometry and made modern geometry possible" (Eric Temple Bell). It "revolutionized the entire conception of the object of mathematical science" (J. Hadamard).With this volume Descartes founded modern analytical geometry. Reducing geometry to algebra and analysis and, conversely, showing that analysis may be translated into geometry, it opened the way for modern mathematics. Descartes was the first to classify curves systematically and to demonstrate algebraic solution of geometric curves. His geometric interpretation of negative quantities led to later concepts of continuity and the theory of function. The third book contains important contributions to the theory of equations.This edition contains the entire definitive Smith-Latham translation of Descartes' three books: Problems the Construction of which Requires Only Straight Lines and Circles; On the Nature of Curved Lines; and On the Construction of Solid and Supersolid Problems. Interleaved page by page with the translation is a complete facsimile of the 1637 French text, together with all Descartes' original illustrations; 248 footnotes explain the text and add further bibliography.

    Now, on Christmas Eve while a small grandson sleeps upstairs, John Rivers is moved to set the record straight about the great man and the radiant, elemental creature he married, who viewed the renowned genius through undazzled eyes.