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.

    In the early part of the work, Gretchen and her friends consider whether evil provides a problem for those who believe in the perfection of God. As the discussion continues they consider the nature of human evil—whether, for example, fully rational actions can be intentionally evil. Recurring themes are the distinction between natural evil and evil done by free agents, and the problems the Holocaust and other cases of genocide pose for conceptions of the universe as a basically good place, or humans as basically good beings. Once again, Perry’s ability to get at the heart of matters combines with his exemplary skill at writing the dialogue form. An ideal volume for introducing students to the subtleties and intricacies of philosophical discussion.

    Based on extensive experimental data comparing great apes and human children, Michael Tomasello reconstructs how early humans gradually became an ultra-cooperative and, eventually, a moral species.There were two key evolutionary steps, each founded on a new way that individuals could act together as a plural agent “we”. The first step occurred as ecological challenges forced early humans to forage together collaboratively or die. To coordinate these collaborative activities, humans evolved cognitive skills of joint intentionality, ensuring that both partners knew together the normative standards governing each role. To reduce risk, individuals could make an explicit joint commitment that “we” forage together and share the spoils together as equally deserving partners, based on shared senses of trust, respect, and responsibility. The second step occurred as human populations grew and the division of labor became more complex. Distinct cultural groups emerged that demanded from members loyalty, conformity, and cultural identity. In becoming members of a new cultural “we”, modern humans evolved cognitive skills of collective intentionality, resulting in culturally created and objectified norms of right and wrong that everyone in the group saw as legitimate morals for anyone who would be one of “us”.As a result of this two-stage process, contemporary humans possess both a second-personal morality for face-to-face engagement with individuals and a group-minded “objective” morality that obliges them to the moral community as a whole.

    It far surpasses any previous explanation of Relativity for laypersons.

    'Big' ideas are those concepts and theories that have radically transformed our understanding of the world we live in, our place in that world and the ways we have shaped the past and will shape the future. They are the ideas that have had a huge impact on human civilization - and they come from all disciplines of human ingenuity.Topics covered range widely and include Creation Mythology, Existentialism, The Elements, Relativity, Space Travel, Geometry, Ethics, Behaviourism, Genetics, Warfare, The Nation State, Anarchism, Capitalism, Classical Art and Architecture, The Renaissance - and much more.This concise, accessible and multi-faceted book provides an essential introduction to 150 of the most important principles of Western thought.

    Shankar, a well-known physicist and contagiously enthusiastic educator, was among the first to offer a course through the innovative Open Yale Course program. His popular online video lectures on introductory physics have been viewed over a million times. In this concise and self-contained book based on his online Yale course, Shankar explains the fundamental concepts of physics from Galileo’s and Newton’s discoveries to the twentieth-century’s revolutionary ideas on relativity and quantum mechanics.   The book begins at the simplest level, develops the basics, and reinforces fundamentals, ensuring a solid foundation in the principles and methods of physics. It provides an ideal introduction for college-level students of physics, chemistry, and engineering, for motivated AP Physics students, and for general readers interested in advances in the sciences. Instructor resources--including problem sets and sample examinations--and more information about Professor Shankar's course are available at http://oyc.yale.edu/physics/phys-200.

    Dreams aren't really anything like reality. Dreams are, well, they're more dreamy. You can just tell. Things happen in dreams that don't happen in reality. Usually, anyway. An intriguing tale that will instill readers with an abiding sense of philosophical wonder. If you're smitten with Sophie's World, you're sure to be entranced by The Dream Weaver. - Christopher Phillips, author, Socrates Cafe. Jack Bowen's novel is like traveling with Alice to a Wonderland inhabited by the greatest philosophers and scientists who ever lived... A triumph! - Wenda O'Reilly, Ph.D., President, Birdcage Press and author, The Impressionist Art Game. The Dream Weaver is an outstanding how-to-think book... This book is a philosophical odyssey that tackles the mysteries of life, of science, and of the meaning of reality. - Susanne Pari, author, The Fortune Catcher.

    In the four main sections of the book, Stein tells the stories of the mathematical thinkers who discerned some of the most fundamental aspects of our universe. From their successes and failures, delusions, and even duels, the trajectories of their innovations—and their impact on society—are traced in this fascinating narrative. Quantum mechanics, space-time, chaos theory and the workings of complex systems, and the impossibility of a "perfect" democracy are all here. Stein's book is both mind-bending and practical, as he explains the best way for a salesman to plan a trip, examines why any thought you could have is imbedded in the number π , and—perhaps most importantly—answers one of the modern world's toughest questions: why the garage can never get your car repaired on time.Friendly, entertaining, and fun, How Math Explains the World is the first book by one of California's most popular math teachers, a veteran of both "math for poets" and Princeton's Institute for Advanced Studies. And it's perfect for any reader wanting to know how math makes both science and the world tick.

    Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.

    First explicit statement of law of conservation of matter in chemical change; first modern list of chemical elements; more. Facsimile reprint of original (1790) Kerr translation. Introduction by Professor Douglas McKie.Introduction1 Of the formation & decomposition of aeriform fluids, of the combustion of simple bodies & the formation of acids 2 Of the combination of acids with salifiable bases & of the formation of neutral salts3 Description of the instruments & operations of chemistryAppendix

    In it, Russell offers a nontechnical, undogmatic account of his philosophical criticism as it relates to arithmetic and logic. Rather than an exhaustive treatment, however, the influential philosopher and mathematician focuses on certain issues of mathematical logic that, to his mind, invalidated much traditional and contemporary philosophy.In dealing with such topics as number, order, relations, limits and continuity, propositional functions, descriptions, and classes, Russell writes in a clear, accessible manner, requiring neither a knowledge of mathematics nor an aptitude for mathematical symbolism. The result is a thought-provoking excursion into the fascinating realm where mathematics and philosophy meet — a philosophical classic that will be welcomed by any thinking person interested in this crucial area of modern thought.

    In 1903 she vanished. The discovery in 1986 of early love letters between Albert Einstein and Mileva Maric, the woman who would become his first wife, revealed the birth of the child named Lieserl. But after a 1903 letter, there is no more mention of her. With nearly nine decades between the birth and our knowledge of the birth, and with scant clues as to the course of her life, the fate of Lieserl Maric Einstein remained a mystery. In many respects, the story of Lieserl is inextricably linked to that of her mother, Mileva Maric, whose own story, as author Michele Zackheim came to learn, was vigilantly guarded for generations by her extended family in Serbia, whose confidence Zackheim had to earn before they would part with family secrets. After five years of travel to Serbian villages wracked by years of strife, painstaking forays into the labyrinth of Central European record-keeping, and hundreds of kitchen-table conversations; after following every lead and every flicker of intuition, and with the support of an international network of women, Michele Zackheim, in this account, has answered the question of what became of Lieserl Maric Einstein. Bound to be controversial, stunningly dramatic, Einstein's Daughter is more than the story of its conclusion; it is a story of the century - of fame and obscurity, love and betrayal, pretenders and protectors; of legends, lies, promises, and unbearable truths.

    For almost 500 years, the masses have been thoroughly deceived by a cosmic fairy-tale of astronomical proportions. We have been taught a falsehood so gigantic and diabolical that it has blinded us from our own experience and common sense, from seeing the world and the universe as they truly are. Through pseudo-science books and programs, mass media and public education, universities and government propaganda, the world has been systematically brain-washed, slowly indoctrinated over centuries into the unquestioning belief of the greatest lie of all time. A multi-generational conspiracy has succeeded, in the minds of the masses, to pick up the fixed Earth, shape it into a ball, spin it in circles, and throw it around the Sun! The greatest cover-up of all time, NASA and Freemasonry's biggest secret, is that we are living on a plane, not a planet, that Earth is the flat, stationary center of the universe.

    Bernard Haisch contends that there is a purpose and an underlying intelligence behind the Universe, one that is consistent with modern science, especially the Big Bang and evolution. It is based on recent discoveries that there are numerous coincidences and fine-tunings of the laws of nature that seem extraordinarily unlikely.A more rational concept of God is called for. As astrophysicist Sir James Jeans wrote, "the Universe begins to look more like a great thought than like a great machine."Despite bestsellers by Christopher Hitchens, Richard Dawkins, and Sam Harris that have denounced the evils of religion and proclaimed that science has shown that there is no God, The Purpose-Guided Universe shows how one can believe in God and science.

    Each maxim is explained and considered in terms of how it may have affected his actions at various times.