Crease tells the stories behind ten of the greatest equations in human history. Was Nobel laureate Richard Feynman really joking when he called Maxwell's electromagnetic equations the most significant event of the nineteenth century? How did Newton's law of gravitation influence young revolutionaries? Why has Euler's formula been called "God's equation," and why did a mysterious ecoterrorist make it his calling card? What role do betrayal, insanity, and suicide play in the second law of thermodynamics?The Great Equations tells the stories of how these equations were discovered, revealing the personal struggles of their ingenious originators. From "1 + 1 = 2" to Heisenberg's uncertainty principle, Crease locates these equations in the panoramic sweep of Western history, showing how they are as integral to their time and place of creation as are great works of art.

    With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules. If infinitesimals were ever accepted, the Jesuits feared, the entire world would be plunged into chaos.In Infinitesimal, the award-winning historian Amir Alexander exposes the deep-seated reasons behind the rulings of the Jesuits and shows how the doctrine persisted, becoming the foundation of calculus and much of modern mathematics and technology. Indeed, not everyone agreed with the Jesuits. Philosophers, scientists, and mathematicians across Europe embraced infinitesimals as the key to scientific progress, freedom of thought, and a more tolerant society. As Alexander reveals, it wasn't long before the two camps set off on a war that pitted Europe's forces of hierarchy and order against those of pluralism and change.The story takes us from the bloody battlefields of Europe's religious wars and the English Civil War and into the lives of the greatest mathematicians and philosophers of the day, including Galileo and Isaac Newton, Cardinal Bellarmine and Thomas Hobbes, and Christopher Clavius and John Wallis. In Italy, the defeat of the infinitely small signaled an end to that land's reign as the cultural heart of Europe, and in England, the triumph of infinitesimals helped launch the island nation on a course that would make it the world's first modern state.From the imperial cities of Germany to the green hills of Surrey, from the papal palace in Rome to the halls of the Royal Society of London, Alexander demonstrates how a disagreement over a mathematical concept became a contest over the heavens and the earth. The legitimacy of popes and kings, as well as our beliefs in human liberty and progressive science, were at stake-the soul of the modern world hinged on the infinitesimal.

    Addressing readers with both a general and scholarly interest in mathematics, Nahin weaves into this narrative entertaining historical facts, mathematical discussions, and the application of complex numbers and functions to important problems.

    Purchasers are entitled to a free trial membership in the General Books Club where they can select from more than a million books without charge. Subjects: Astronomy; History / General; Juvenile Nonfiction / Science

    In Peter Woit's view, superstring theory is just such an idea. In Not Even Wrong , he shows that what many physicists call superstring "theory" is not a theory at all. It makes no predictions, even wrong ones, and this very lack of falsifiability is what has allowed the subject to survive and flourish. Not Even Wrong explains why the mathematical conditions for progress in physics are entirely absent from superstring theory today and shows that judgments about scientific statements, which should be based on the logical consistency of argument and experimental evidence, are instead based on the eminence of those claiming to know the truth. In the face of many books from enthusiasts for string theory, this book presents the other side of the story.

    Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio. Even as he initiates us into the mysteries of real numbers, functions, and limits, Berlinski explores the furthest implications of his subject, revealing how the calculus reconciles the precision of numbers with the fluidity of the changing universe. "An odd and tantalizing book by a writer who takes immense pleasure in this great mathematical tool, and tries to create it in others."--New York Times Book Review

    His amazing, unprecedented collection of animals, plants and insects from all around the world gained international fame during his lifetime. In 1731, after decades of collecting, Seba commissioned illustrations of each and every specimen and arranged the publication of a four-volume catalog detailing his entire collection?from strange and exotic plants to snakes, frogs, crocodiles, shellfish, corals, insects, butterflies and more, as well as fantastic beasts, such as a hydra and a dragon. Seba's scenic illustrations, often mixing plants and animals in a single plate, were unusual even for the time. Many of the stranger and more peculiar creatures from Seba's collection, some of which are now extinct, were as curious to those in Seba's day as they are to us now. This reproduction is taken from a rare, hand-colored original. The introduction offers background information about the fascinating tradition of the cabinet of curiosities to which Seba's curiosities belonged.

    Aimed at undergraduate students in mathematics, physics, and engineering, the book's intuitive explanations, lack ofadvanced prerequisites, and consciously user-friendly prose style will help students to master the subject more readily than was previously possible. The key to this is the book's use of new geometric arguments in place of the standard calculational ones. These geometric arguments are communicatedwith the aid of hundreds of diagrams of a standard seldom encountered in mathematical works. A new approach to a classical topic, this work will be of interest to students in mathematics, physics, and engineering, as well as to professionals in these fields.

    This fascinating book showcases hundreds of eye-catching tattoos that pay tribute to various scientific disciplines, from evolutionary biology and neuroscience to mathematics and astrophysics, and reveals the stories of the individuals who chose to inscribe their obsessions in their skin. Best of all, each tattoo provides a leaping-off point for bestselling essayist and lecturer Zimmer to reflect on the science in question, whether it's the importance of an image of Darwin's finches or the significance of the uranium atom inked into the chest of a young radiologist.

    Serving as both an introduction to fifteenth-century Italian painting and as a text on how to interpret social history from the style of pictures in a given historical period, this new edition to Baxandall's pre-eminent scholarly volume examines early Renaissance painting, and explains how the style of painting in any society reflects the visual skills and habits that evolve out of daily life. Renaissance painting, for example, mirrors the experience of such activities as preaching, dancing, and gauging barrels. The volume includes discussions of a wide variety of painters, including Filippo Lippi, Fra Angelico, Stefano di Giovanni, Sandro Botticelli, Masaccio, Luca Signorelli, Boccaccio, and countless others. Baxandall also defines and illustrates sixteen concepts used by a contemporary critic of painting, thereby assembling the basic equipment needed to explore fifteenth-century art.

    Back in print for the first time in nearly thirty years, here is Yoko Ono's whimsical, delightful, subversive, startling book of instructions for art and for life."A dream you dream alone may be a dream, but a dream two people dream together is a reality.""Burn this book after you've read it." -- Yoko Ono"This is the greatest book I've ever burned." -- John Lennon

    In the essay, originally published in Spanish in 1925, Ortega grappled philosophically with the newness of nonrepresentational art and sought to make it more understandable to a public confused by it. Many embraced the essay as a manifesto extolling the virtues of vanguard artists and promoting their efforts to abandon the realism and the romanticism of the nineteenth century.The dehumanization of the title, which was meant descriptively rather than pejoratively, referred most literally to the absence of human forms in nonrepresentational art, but also to its insistent unpopularity, its indifference to the past, and its iconoclasm. Ortega championed what he saw as a new cultural politics with the goal of a total transformation of society.Ortega was an immensely gifted writer in the best belletristic tradition. His work has been compared to an iceberg because it hides the critical mass of its erudition beneath the surface, and because it is deceptive, appearing to be more spontaneous and informal than it really is.Princeton published the first English translation of the essay paired with another entitled Notes on the Novel. Three essays were later added to make an expanded edition, published in 1968, under the title The Dehumanization of Art and Other Essays on Art, Culture and Literature .

    It may hide additional dimensions of space other than the familier three we recognize. There might even be another universe adjacent to ours, invisible and unattainable . . . for now.Warped Passages is a brilliantly readable and altogether exhilarating journey that tracks the arc of discovery from early twentieth-century physics to the razor's edge of modern scientific theory. One of the world's leading theoretical physicists, Lisa Randall provides astonishing scientific possibilities that, until recently, were restricted to the realm of science fiction. Unraveling the twisted threads of the most current debates on relativity, quantum mechanics, and gravity, she explores some of the most fundamental questions posed by Nature—taking us into the warped, hidden dimensions underpinning the universe we live in, demystifying the science of the myriad worlds that may exist just beyond our own.

    To Goethe, the theory was the result of mistaking an incidental result for an elemental principle. Far from pretending to a knowledge of physics, he insisted that such knowledge was an actual hindrance to understanding. He based his conclusions exclusively upon exhaustive personal observation of the phenomena of color.Of his own theory, Goethe was supremely confident: "From the philosopher, we believe we merit thanks for having traced the phenomena of colours to their first sources, to the circumstances under which they appear and are, and beyond which no further explanation respecting them is possible."Goethe's scientific conclusions have, of course, long since been thoroughly demolished, but the intelligent reader of today may enjoy this work on quite different grounds: for the beauty and sweep of his conjectures regarding the connection between color and philosophical ideas; for an insight into early nineteenth-century beliefs and modes of thought; and for the flavor of life in Europe just after the American and French Revolutions.The work may also be read as an accurate guide to the study of color phenomena. Goethe's conclusions have been repudiated, but no one quarrels with his reporting of the facts to be observed. With simple objects -- vessels, prisms, lenses, and the like -- the reader will be led through a demonstration course not only in subjectively produced colors, but also in the observable physical phenomena of color. By closely following Goethe's explanations of the color phenomena, the reader may become so divorced from the wavelength theory -- Goethe never even mentions it -- that he may begin to think about color theory relatively unhampered by prejudice, ancient or modern.

    Wolfram lets the world see his work in A New Kind of Science, a gorgeous, 1,280-page tome more than a decade in the making. With patience, insight, and self-confidence to spare, Wolfram outlines a fundamental new way of modeling complex systems. On the frontier of complexity science since he was a boy, Wolfram is a champion of cellular automata--256 "programs" governed by simple nonmathematical rules. He points out that even the most complex equations fail to accurately model biological systems, but the simplest cellular automata can produce results straight out of nature--tree branches, stream eddies, and leopard spots, for instance. The graphics in A New Kind of Science show striking resemblance to the patterns we see in nature every day. Wolfram wrote the book in a distinct style meant to make it easy to read, even for nontechies; a basic familiarity with logic is helpful but not essential. Readers will find themselves swept away by the elegant simplicity of Wolfram's ideas and the accidental artistry of the cellular automaton models. Whether or not Wolfram's revolution ultimately gives us the keys to the universe, his new science is absolutely awe-inspiring. --Therese Littleton