This is the classic introduction for the educated lay reader to the richly diverse world of mathematics: its history, philosophy, principles, and personalities.

    Depicting the great challenges these men faced and the lasting contributions they made, Hawking explains how their works transformed the course of science – and gave us a better understanding of the universe and our place in it.

    From the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space. Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.

    Taking as territory everything from the Big Bang to the rise of civilization, Bryson seeks to understand how we got from there being nothing at all to there being us. To that end, he has attached himself to a host of the world’s most advanced (and often obsessed) archaeologists, anthropologists, and mathematicians, travelling to their offices, laboratories, and field camps. He has read (or tried to read) their books, pestered them with questions, apprenticed himself to their powerful minds. A Short History of Nearly Everything is the record of this quest, and it is a sometimes profound, sometimes funny, and always supremely clear and entertaining adventure in the realms of human knowledge, as only Bill Bryson can render it. Science has never been more involving or entertaining.

    From Edward Lorenz’s discovery of the Butterfly Effect, to Mitchell Feigenbaum’s calculation of a universal constant, to Benoit Mandelbrot’s concept of fractals, which created a new geometry of nature, Gleick’s engaging narrative focuses on the key figures whose genius converged to chart an innovative direction for science. In Chaos, Gleick makes the story of chaos theory not only fascinating but also accessible to beginners, and opens our eyes to a surprising new view of the universe.

    Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.

    The book was based on a course of public lectures delivered by Schrödinger in February 1943 at Trinity College, Dublin. Schrödinger's lecture focused on one important question: "how can the events in space and time which take place within the spatial boundary of a living organism be accounted for by physics and chemistry?" In the book, Schrödinger introduced the idea of an "aperiodic crystal" that contained genetic information in its configuration of covalent chemical bonds. In the 1950s, this idea stimulated enthusiasm for discovering the genetic molecule and would give both Francis Crick and James Watson initial inspiration in their research.

    The title of his most famous work, Ab Urbe Condita ("From the Founding of the City"), expresses the scope and magnitude of Livy's undertaking. He wrote in a mixture of annual chronology and narrative. Livy claims that lack of historical data prior to the sacking of Rome in 387 BC by the Gauls made his task more difficult. He wrote the majority of his works during the reign of Augustus. However, he is often identified with an attachment to the Roman Republic and a desire for its restoration. His writing style was poetic and archaic in contrast to Caesar's and Cicero's styles. Also, he often wrote from the Romans' opponent's point of view in order to accent the Romans' virtues in their conquest of Italy and the Mediterranean.

    The manuscript was a palimpsest-a book made from an earlier codex whose script had been scraped off and the pages used again. Behind the script of the thirteenth-century monk's prayer book, the palimpsest revealed the faint writing of a much older, tenth-century manuscript. Part archaeological detective story, part science, and part history, The Archimedes Codex tells the extraordinary story of this lost manuscript, from its tenth-century creation in Constantinople to the auction block at Christie's, and how a team of scholars used the latest imaging technology to reveal and decipher the original text. What they found was the earliest surviving manuscript by Archimedes (287 b.c.-212 b.c.), the greatest mathematician of antiquity-a manuscript that revealed, for the first time, the full range of his mathematical genius, which was two thousand years ahead of modern science.

    The Structure of Scientific Revolutions is that kind of book. When it was first published in 1962, it was a landmark event in the history and philosophy of science. Fifty years later, it still has many lessons to teach. With The Structure of Scientific Revolutions, Kuhn challenged long-standing linear notions of scientific progress, arguing that transformative ideas don’t arise from the day-to-day, gradual process of experimentation and data accumulation but that the revolutions in science, those breakthrough moments that disrupt accepted thinking and offer unanticipated ideas, occur outside of “normal science,” as he called it. Though Kuhn was writing when physics ruled the sciences, his ideas on how scientific revolutions bring order to the anomalies that amass over time in research experiments are still instructive in our biotech age. This new edition of Kuhn’s essential work in the history of science includes an insightful introduction by Ian Hacking, which clarifies terms popularized by Kuhn, including paradigm and incommensurability, and applies Kuhn’s ideas to the science of today. Usefully keyed to the separate sections of the book, Hacking’s introduction provides important background information as well as a contemporary context.  Newly designed, with an expanded index, this edition will be eagerly welcomed by the next generation of readers seeking to understand the history of our perspectives on science.

     Marcus Aurelius wrote the 12 books of the Meditations as a source for his own guidance and self-improvement. These books have been carefully adapted into a contemporary form to allow for easy reading.

    In this book, Peter Dear offers an accessible introduction to the origins of modern science for both students and general readers.Beginning with what was worth knowing in 1500, Dear takes the reader through natural philosophy, humanism, mathematics, and experimentalism until he can describe what was worth knowing by the eighteenth century. Along the way, he discusses the key ideas, individuals, and social changes that constituted the Scientific Revolution.For all of its economy and broad appeal, Revolutionizing the Sciences never sacrifices sophistication of treatment. Dear questions triumphal ideas of scientific progress, unravels the connections between scientific knowledge and power over nature, and distinguishes between the scientific renaissance that characterized the sixteenth century and the more fundamental revolution that occurred in the seventeenth.This is an ideal textbook on the Scientific Revolution for courses on the history of science or the history of early modern Europe. The text is chronologically arranged and fully covers both the sixteenth and seventeenth centuries, standing alone as an up-to-date, complete general introduction to the origins of modern science in Europe.Revolutionizing the Sciences is the best available choice for teaching or learning about the developments that came to be called the Scientific Revolution.

    Massive in its scope, and yet totally accessible, A HISTORY OF KNOWLEDGE covers not only all the great theories and discoveries of the human race, but also explores the social conditions, political climates, and individual men and women of genius that brought ideas to fruition throughout history."Crystal clear and concise...Explains how humankind got to know what it knows."Clifton FadimanSelected by the Book-of-the-Month Club and the History Book Club

    do it? How should you flip your mattress to get the maximum wear out of it? How does Google search the Internet? How many people should you date before settling down? Believe it or not, math plays a crucial role in answering all of these questions and more.Math underpins everything in the cosmos, including us, yet too few of us understand this universal language well enough to revel in its wisdom, its beauty — and its joy. This deeply enlightening, vastly entertaining volume translates math in a way that is at once intelligible and thrilling. Each trenchant chapter of The Joy of x offers an “aha!” moment, starting with why numbers are so helpful, and progressing through the wondrous truths implicit in π, the Pythagorean theorem, irrational numbers, fat tails, even the rigors and surprising charms of calculus. Showing why he has won awards as a professor at Cornell and garnered extensive praise for his articles about math for the New York Times, Strogatz presumes of his readers only curiosity and common sense. And he rewards them with clear, ingenious, and often funny explanations of the most vital and exciting principles of his discipline.Whether you aced integral calculus or aren’t sure what an integer is, you’ll find profound wisdom and persistent delight in The Joy of x.

    He wrote vast volumes about animals. He described them, classified them, told us where and how they live and how they develop in the womb or in the egg. He founded a science. It can even be said that he founded science itself.In The Lagoon, acclaimed biologist Armand Marie Leroi recovers Aristotle’s science. He revisits Aristotle’s writings and the places where he worked. He goes to the eastern Aegean island of Lesbos to see the creatures that Aristotle saw, where he saw them. He explores Aristotle’s observations, his deep ideas, his inspired guesses—and the things he got wildly wrong. He shows how Aristotle’s science is deeply intertwined with his philosophical system and reveals that he was not only the first biologist, but also one of the greatest.The Lagoon is both a travelogue and a study of the origins of science. And it shows how a philosopher who lived almost two millennia ago still has so much to teach us today.