Covers textual and linguistic matters; mathematical analyses of Euclid's ideas; commentators; refutations, supports, extrapolations, reinterpretations and historical notes. Vol. 1 includes Introduction, Books 1-2: Triangles, rectangles.

    Asimov takes the reader on a rousing mental trip into the world of mathematics, physics, chemistry, biology, and astronomy.

    Drawing on new translations of Mutis's nearly forgotten writings, this fascinating story of scientific adventure in eighteenth-century South America retrieves Mutis's contributions from obscurity.In 1760, the 28-year-old Mutis—newly appointed as the personal physician of the Viceroy of the New Kingdom of Granada—embarked on a 48-year exploration of the natural world of northern South America. His thirst for knowledge led Mutis to study the region's flora, become a professor of mathematics, construct the first astronomical observatory in the Western Hemisphere, and amass one of the largest scientific libraries in the world. He translated Newton's writings and penned essays about Copernicus; lectured extensively on astronomy, geography, and meteorology; and eventually became a priest. But, as two-time Pulitzer Prize–winner Edward O. Wilson and Spanish natural history scholar José M. Gómez Durán reveal in this enjoyable and illustrative account, one of Mutis's most magnificent accomplishments involved ants.Acting at the urging of Carl Linnaeus—the father of taxonomy—shortly after he arrived in the New Kingdom of Granada, Mutis began studying the ants that swarmed everywhere. Though he lacked any entomological training, Mutis built his own classification for the species he found and named at a time when New World entomology was largely nonexistent. His unorthodox catalog of army ants, leafcutters, and other six-legged creatures found along the banks of the Magdalena provided a starting point for future study.Wilson and Durán weave a compelling, fast-paced story of ants on the march and the eighteenth-century scientist who followed them. A unique glance into the early world of science exploration, Kingdom of Ants is a delight to read and filled with intriguing information.

    In the Fourth Edition CALCULUS, EARLY TRANSCENDENTALS these functions are introduced in the first chapter and their limits and derivatives are found in Chapters 2 and 3 at the same time as polynomials and other elementary functions. In this Fourth Edition, Stewart retains the focus on problem solving, the meticulous accuracy, the patient explanations, and the carefully graded problems that have made these texts word so well for a wide range of students. All new and unique features in CALCULUS, FOURTH EDITION have been incorporated into these revisions also.

    The late Soviet physicist, activist, and Nobel laureate describes his upbringing, scientific work, rejection of Soviet repression, peace and human rights concerns, marriage and family, and persecution by the KGB.

    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.

    After success there, Caesar turned his loyal army back toward Rome. Crossing the Rubicon, he initiated a civil war, marched triumphally to the capital, besieged Pompey at Brundisium, and pacified Spain. With a tiny army he routed Pompey's far larger forces at Pharsalus, pursued him to his death in Egypt, and established Cleopatra on her throne.Though Caesar's Commentaries are among the most exact and picturesque of historical writings, it is only through knowledge of the geography and weaponry of his campaigns that one can properly understand them. In this history, T. A. Dodge, one of the only military historians to have visited every one of the great general's known battlefields, makes full use of other chroniclers and critics and supplements them with his clear, insightful descriptions of the battles. As a fully illustrated and complete military history of one of history's greatest generals, Caesar is unparalleled.

    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.

    According to the author, these trends sought to create a unified conceptual apparatus as a common basis for the whole of human knowledge.Because these new developments in logical thought tended to perfect and sharpen the deductive method, an indispensable tool in many fields for deriving conclusions from accepted assumptions, the author decided to widen the scope of the work. In subsequent editions he revised the book to make it also a text on which to base an elementary college course in logic and the methodology of deductive sciences. It is this revised edition that is reprinted here.Part One deals with elements of logic and the deductive method, including the use of variables, sentential calculus, theory of identity, theory of classes, theory of relations and the deductive method. The Second Part covers applications of logic and methodology in constructing mathematical theories, including laws of order for numbers, laws of addition and subtraction, methodological considerations on the constructed theory, foundations of arithmetic of real numbers, and more. The author has provided numerous exercises to help students assimilate the material, which not only provides a stimulating and thought-provoking introduction to the fundamentals of logical thought, but is the perfect adjunct to courses in logic and the foundation of mathematics.

    Turing’s openness about his homosexuality at a time when it was an imprisonable offense ultimately led to his untimely lo death at the age of only forty-one. In Alan Turing: Unlocking the Enigma, David Boyle reveals the mysteries behind the man and his remarkable career. Aged just 22, Turing was elected a fellow at King's College, Cambridge on the strength of a dissertation in which he proved the central limit theorem. By the age of 33, he had been awarded the OBE by King George VI for his wartime services: Turing was instrumental in cracking the Nazi Enigma machines at the top secret code breaking establishment at Bletchley Park during the Second World War.But his achievements were to be tragically overshadowed by the paranoia of the post-War years. Hounded for his supposedly subversive views and for his sexuality, Turing was prosecuted in 1952, and forced to accept the humiliation of hormone treatment to avoid a prison sentence. Just two years later, at the age of 41 he was dead. The verdict: cyanide poisoning.Was Turing’s death accidental as his mother always claimed? Or did persistent persecution drive him to take him own life?Alan Turing: Unlocking the Enigma seeks to find the man behind the science, illuminating the life of a person who is still a shadowy presence behind his brilliant achievements.

    Indeed, numbers are part of every discipline in the sciences and the arts.With 350 illustrations, including diagrams, photographs and computer imagery, the book chronicles the centuries-long search for the meaning of numbers by famous and lesser-known mathematicians, and explains the puzzling aspects of the mathematical world. Topics include:The earliest ideas of numbers and counting Patterns, logic, calculating Natural, perfect, amicable and prime numbers Numerology, the power of numbers, superstition The computer, the Enigma Code Infinity, the speed of light, relativity Complex numbers The Big Bang and Chaos theories The Philosopher's Stone. The Book of Numbers shows enthusiastically that numbers are neither boring nor dull but rather involve intriguing connections, rivalries, secret documents and even mysterious deaths.

    A riveting history of counting and calculating, from the time of the cave dwellers to the twentieth century, this fascinating volume brings numbers to thrilling life, explaining their development in human terms, the intriguing situations that made them necessary, and the brilliant achievements in human thought that they made possible. It takes us through the numbers story from Europe to China, via ancient Greece and Rome, Mesopotamia, Latin America, India, and the Arabic countries. Exploring the many ways civilizations developed and changed their mathematical systems, Ifrah imparts a unique insight into the nature of human thought–and into how our understanding of numbers and the ways they shape our lives have changed and grown over thousands of years.

    . . is just one thing. But if I chop it in two, then chop the half in two, and keep on chopping, I get more and more bits, on and on, endlessly, to an infinity I could never ever reach.In 1887 in India, a boy named Ramanujan is born with a passion for numbers. He sees numbers in the squares of light pricking his thatched roof and in the beasts dancing on the temple tower. He writes mathematics with his finger in the sand, across the pages of his notebooks, and with chalk on the temple floor. "What is small?" he wonders. "What is big?" Head in the clouds, Ramanujan struggles in school -- but his mother knows that her son and his ideas have a purpose. As he grows up, Ramanujan reinvents much of modern mathematics, but where in the world could he find someone to understand what he has conceived?Author Amy Alznauer gently introduces young readers to math concepts while Daniel Miyares's illustrations bring the wonder of Ramanujan's world to life in the inspiring real-life story of a boy who changed mathematics and science forever. Back matter includes a bibliography and an author's note recounting more of Ramanujan's life and accomplishments, as well as the author's father's remarkable discovery of Ramanujan's Lost Notebook.

    Throughout James May's Magnificent Machines, James May explores the iconic themes of the past hundred years: flight, space travel, television, mechanized war, medicine, computers, electronic music, skyscrapers, electronic espionage, and much more. But he also reveals the hidden story behind why some inventions like the zeppelin, the hovercraft, or the theremin struggled to make their mark. He examines the tipping points when technologies such as the car or the internet became unstoppable and gets up close to the nuts and bolt of remarkable inventions. Packed with surprising statistics and intriguing facts, this is the ideal book for anyone who wants to know how stuff works and why some stuff didn't make it.

    Global sea levels, as the result of rapidly melting polar ice rose by more than 300 feet in a very short period of time, causing the planet to become unstable.In Egypt, Peru, Bolivia, Lebanon and other locations we see the existence of ancient damaged but very sophisticated megalithic stone structures which we would be hard pressed to re-create today. They hint that once upon a time one or "Atlantean" civilizations indeed did exist