A small people inhabiting a country poor in resources and divided into hundreds of quarreling states created one of the most remarkable civilizations. Comprehensive and balanced, A Brief History of Ancient Greece: Politics, Society, and Culture is a new and shorter version of the authors' highly successful Ancient Greece: A Political, Social, and Cultural History (OUP, 1998). Four leading authorities on the classical world offer a lively and up-to-date account of Greek civilization and history in all its complexity and variety, covering the entire period from the Bronze Age through the Hellenistic Era, and integrating the most recent research in archaeology, comparative anthropology, and social history. They show how the early Greeks borrowed from their neighbors but eventually developed a distinctive culture all their own, one that was marked by astonishing creativity, versatility, and resilience. The authors go on to trace the complex and surprising evolution of Greek civilization to its eventual dissolution as it merged with a variety of other cultures. Using physical evidence from archaeology, the written testimony of literary texts and inscriptions, and anthropological models based on comparative studies, this compact volume provides an account of the Greek world that is thoughtful and sophisticated yet accessible to students and general readers with little or no knowledge of Greece.Ideal for courses in Greek Civilization and Ancient Greece, A Brief History of Ancient Greece offers:- A more streamlined treatment of political and military history than Ancient Greece- Emphasis on social and domestic life, art and architecture, literature, and philosophy- Expanded coverage of women and family life, religion, and athletics- A new section on male homosexuality in ancient Greece- A revised art program featuring more than 100 illustrations and 17 original maps- Numerous document boxes that include primary source material

    100-178 CE) of Egypt consists of four books. The title given in some manuscripts meaning 'Mathematical Treatise in Four Books', in others 'The Prognostics addressed to Syrus'. The subject of the work is astrology, which in Ptolemy's time as down to the Renaissance was fused as a respectable science with astronomy. Translations and commentaries of the "Tetrabiblos" are few, and only three Greek texts had been printed (all in the 16th century) before the present text, begun by F. Boll and finished by Emilie Boer in 1940.

    Xenophon's portrait is the only one other than Plato's to survive, and while it offers a very personal interpretation of Socratic thought, it also reveals much about the man and his philosophical views. In 'Socrates' Defence' Xenophon defends his mentor against charges of arrogance made at his trial, while the 'Memoirs of Socrates' also starts with an impassioned plea for the rehabilitation of a wronged reputation. Along with 'The Estate-Manager', a practical economic treatise, and 'The Dinner-Party', a sparkling exploration of love, Xenophon's dialogues offer fascinating insights into the Socratic world and into the intellectual atmosphere and daily life of ancient Greece.

    Now William Dunham gives them the attention they deserve.Dunham places each theorem within its historical context and explores the very human and often turbulent life of the creator — from Archimedes, the absentminded theoretician whose absorption in his work often precluded eating or bathing, to Gerolamo Cardano, the sixteenth-century mathematician whose accomplishments flourished despite a bizarre array of misadventures, to the paranoid genius of modern times, Georg Cantor. He also provides step-by-step proofs for the theorems, each easily accessible to readers with no more than a knowledge of high school mathematics.A rare combination of the historical, biographical, and mathematical, Journey Through Genius is a fascinating introduction to a neglected field of human creativity.

    Simmons advocates a careful approach to the subject, covering such topics as the wave equation, Gauss's hypergeometric function, the gamma function and the basic problems of the calculus of variations in an explanatory fashions - ensuring that students fully understand and appreciate the topics.

    Underpinning both math and science, it is the foundation of every major advancement in knowledge since the time of the ancient Greeks. Through adventure stories and historical narratives populated with a rich and quirky cast of characters, Mazur artfully reveals the less-than-airtight nature of logic and the muddled relationship between math and the real world. Ultimately, Mazur argues, logical reasoning is not purely robotic. At its most basic level, it is a creative process guided by our intuitions and beliefs about the world.

    

    The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.

    Language is informal, examples are vivid and lively, and the perspectivie is fresh. Based on lectures delivered to engineering students, this work will also be valued by scientists, engineers, technicians, businessmen, anyone facing energy challenges of the future.

    Now Schaum's is better than ever-with a new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study.Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!Schaum's Outlines-Problem Solved.

    His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Equally legendary were Gö's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first popular biography of this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life. After describing his childhood in the Moravian capital of Brno, the authors trace the arc of Gö's remarkable career, from the famed Vienna Circle, where philosophers and scientists debated notions of truth, to the Institute for Advanced Study in Princeton, New Jersey, where he lived and worked until his death in 1978. In the process, they shed light on Gö's contributions to mathematics, philosophy, computer science, artificial intelligence -- even cosmology -- in an entertaining and accessible way.

     This graphic novel recounts the spiritual odyssey of philosopher Bertrand Russell. In his agonized search for absolute truth, he crosses paths with thinkers like Gottlob Frege, David Hilbert & Kurt Gödel, & finds a passionate student in Ludwig Wittgenstein. But his most ambitious goal—to establish unshakable logical foundations of mathematics—continues to loom before him. Thru love & hate, peace & war, he persists in the mission threatening to claim both his career & happiness, finally driving him to the brink of insanity. This story is at the same time a historical novel & an accessible explication of some of the biggest ideas of mathematics & modern philosophy. With rich characterizations & atmospheric artwork, it spins the pursuit of such ideas into a satisfying tale. Probing, layered, the book throws light on Russell’s inner struggles while setting them in the context of the timeless questions he tried to answer. At its heart, Logicomix is a story about the conflict between ideal rationality & the flawed fabric of reality.

    In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887...This curious mathematical relationship, widely known as "The Golden Ratio," was discovered by Euclid more than two thousand years ago because of its crucial role in the construction of the pentagram, to which magical properties had been attributed. Since then it has shown a propensity to appear in the most astonishing variety of places, from mollusk shells, sunflower florets, and rose petals to the shape of the galaxy. Psychological studies have investigated whether the Golden Ratio is the most aesthetically pleasing proportion extant, and it has been asserted that the creators of the Pyramids and the Parthenon employed it. It is believed to feature in works of art from Leonardo da Vinci's Mona Lisa to Salvador Dali's The Sacrament of the Last Supper, and poets and composers have used it in their works. It has even been found to be connected to the behavior of the stock market!The Golden Ratio is a captivating journey through art and architecture, botany and biology, physics and mathematics. It tells the human story of numerous phi-fixated individuals, including the followers of Pythagoras who believed that this proportion revealed the hand of God; astronomer Johannes Kepler, who saw phi as the greatest treasure of geometry; such Renaissance thinkers as mathematician Leonardo Fibonacci of Pisa; and such masters of the modern world as Goethe, Cezanne, Bartok, and physicist Roger Penrose. Wherever his quest for the meaning of phi takes him, Mario Livio reveals the world as a place where order, beauty, and eternal mystery will always coexist.From the Hardcover edition.

    The Theogony contains a systematic genealogy of the gods from the beginning of the world and an account of their violent struggles before the present order was established. The Works and Days, a compendium of moral and practical advice for a life of honest husbandry, throws a unique and fascinating light on archaic Greek society, ethics, and superstition. Hesiod's poetry is the oldest source for the myths of Prometheus, Pandora, and the Golden Age.Unlike Homer, Hesiod tells us about himself and his family (he lived in central Greece in the late eighth century BC). This new translation by a leading expert combines accuracy with readability.

    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.