From the sudden expansion of a cloud of gas to the cooling of hot metal--everything is moved or restrained by four simple laws. Written by Peter Atkins, one of the world's leading authorities on thermodynamics, this powerful and compact introduction explains what these four laws are and how they work, using accessible language and virtually no mathematics. Guiding the reader a step at a time, Atkins begins with Zeroth (so named because the first two laws were well established before scientists realized that a third law, relating to temperature, should precede them--hence the jocular name zeroth), and proceeds through the First, Second, and Third Laws, offering a clear account of concepts such as the availability of work and the conservation of energy. Atkins ranges from the fascinating theory of entropy (revealing how its unstoppable rise constitutes the engine of the universe), through the concept of free energy, and to the brink, and then beyond the brink, of absolute zero. About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

    Included in this selection are the biographies of Themistocles, a brilliant but heavy-handed naval commander, Aristides 'the Just' and Pericles, who was responsible for the buildings on the Acropolis. Plutarch's real interest in these men is not in the greatness of their victories or achievements but in their moral strengths, and for him responsibility for the eventual fall of Athens lay with the weakness and ambition of its great men.Varying in historical accuracy, these accounts are nevertheless rich in anecdote, and Plutarch's skill as a social historian and his fascination with personal idiosyncracies make them of timeless interest.

    For a full appreciation of literature or visual art, knowledge of the Greek myths is crucial. In this much-loved collection, poet and scholar Robert Graves retells the immortal stories of the Greek myths. Demeter mourning her daughter Persephone, Icarus flying too close to the sun, Theseus and the Minotaur … all are captured here with the author’s characteristic erudition and flair.The Greek Myths is the culmination of years of research and careful observation, however what makes this collection extraordinary is the imaginative and poetic style of the retelling. Drawing on his experience as a novelist and poet, Graves tells the fantastic stories of Ancient Greece in a style that is both absorbing and easy for the general reader to understand. Each story is accompanied by Graves’ interpretation of the origins and deeper meaning of the story, giving a reader an unparalleled insight into the customs and development of the Greek world.

    Each chapter contains integrated worked examples and chapter tests. This edition has the ancillary ATLAST computer exercise guide and new MATLAB and Maple guides.

    Now available in a smaller, more convenient format, the astonishingly in-depth and widely praised Oxford History of the Classical World offers the general reader the definitive companion to the Graeco-Roman world.The first volume, Classical Greece and the Hellenistic World, covers the period from the eighth to the first centuries B.C., a period unparalleled in history for its brilliance in literature, philosophy, and the visual arts. It also treats the Hellenization of the Middle East by the monarchies established in the area conquested by Alexander the Great. The second volume, Classical Rome, covers early Rome and Italy, the expansion of the Roman republic, the foundation of the Roman Empire by Augustus, its consolidation in the first two centuries A.D., and the later Empire and its influence on Western civilization. The editors, John Boardman, Jasper Griffen, and Oswyn Murray—all eminent classicists—intersperse chapters on political and social history with sections on literature, philosophy, and the arts, and reinforce the historical framework with maps and historical charts. The two volumes also offer bibliographies and a full index, as well as black and white photographs integrated into the text. The contributors—thirty of the world's leading scholars—present the latest in modern scholarship through masterpieces of wit, brevity, and style. While concentrating on the aspects essential to the understanding of each period, they also focus on those elements of the classical world that remain of lasting importance and interest to readers today. Together, these volumes provide both a provocative and entertaining window into our classical heritage.

    The myths collected here, originally written in cuneiform on clay tablets, include parallels with the biblical stories of the Creation and the Flood, and the famous Epic of Gilgamesh, the tale of a man of great strength, whose heroic quest for immortality is dashed through one moment of weakness. Recent developments in Akkadian grammar and lexicography mean that this new translation--complete with notes, a glossary of deities, place-names, and key terms, and illustrations of the mythical monsters featured in the text--will replace all other versions.

    Justinian, the great law-giver, appears as a hateful tyrant, wedded to an ex-prostitute, Theodora; and Belisarius, the brilliant general whose secretary Procopius had been, is seen as the pliable dupe of his wife Antonina, a woman as corrupt and scheming as Theodora herself.

    Focused on helping students understand and construct proofs and expanding their mathematical maturity, this best-selling text is an accessible introduction to discrete mathematics. Johnsonbaugh's algorithmic approach emphasizes problem-solving techniques. The Seventh Edition reflects user and reviewer feedback on both content and organization.

    The clarity and eloquence of the presentation make it popular with teachers and students alike. The text aims to expand the reader's view of the field and to present standard material in a novel way. All of the most important topics in the field are covered with a fresh perspective, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability. Presentation is in the form of 40 lectures, which each focus on one or two central ideas. The unity between topics is emphasized throughout, with no risk of getting lost in details and technicalities. The book breaks with tradition by beginning with the QR factorization - an important and fresh idea for students, and the thread that connects most of the algorithms of numerical linear algebra.

    This recreational math book takes the reader on a fantastic voyage into the world of natural numbers. From the earliest discoveries of the ancient Greeks to various fundamental characteristics of the natural number sequence, Clawson explains fascinating mathematical mysteries in clear and easy prose. He delves into the heart of number theory to see and understand the exquisite relationships among natural numbers, and ends by exploring the ultimate mystery of mathematics: the Riemann hypothesis, which says that through a point in a plane, no line can be drawn parallel to a given line.While a professional mathematician's treatment of number theory involves the most sophisticated analytical tools, its basic ideas are surprisingly easy to comprehend. By concentrating on the meaning behind various equations and proofs and avoiding technical refinements, Mathematical Mysteries lets the common reader catch a glimpse of this wonderful and exotic world.

    Brian Greene, one of the world's leading string theorists, peels away the layers of mystery surrounding string theory to reveal a universe that consists of eleven dimensions, where the fabric of space tears and repairs itself, and all matter—from the smallest quarks to the most gargantuan supernovas—is generated by the vibrations of microscopically tiny loops of energy.Today physicists and mathematicians throughout the world are feverishly working on one of the most ambitious theories ever proposed: superstring theory. String theory, as it is often called, is the key to the Unified Field Theory that eluded Einstein for more than thirty years. Finally, the century-old antagonism between the large and the small-General Relativity and Quantum Theory-is resolved. String theory proclaims that all of the wondrous happenings in the universe, from the frantic dancing of subatomic quarks to the majestic swirling of heavenly galaxies, are reflections of one grand physical principle and manifestations of one single entity: microscopically tiny vibrating loops of energy, a billionth of a billionth the size of an atom. In this brilliantly articulated and refreshingly clear book, Greene relates the scientific story and the human struggle behind twentieth-century physics' search for a theory of everything.Through the masterful use of metaphor and analogy, The Elegant Universe makes some of the most sophisticated concepts ever contemplated viscerally accessible and thoroughly entertaining, bringing us closer than ever to understanding how the universe works.

    She wants to cover the hard-hitting issues, like world affairs and politics, but does she have the smarts for it? Thankfully, her overbearing and math-minded boss, Mr. Seki, is here to teach her how to analyze her stories with a mathematical eye.In The Manga Guide to Calculus, you'll follow along with Noriko as she learns that calculus is more than just a class designed to weed out would-be science majors. You'll see that calculus is a useful way to understand the patterns in physics, economics, and the world around us, with help from real-world examples like probability, supply and demand curves, the economics of pollution, and the density of Shochu (a Japanese liquor).Mr. Seki teaches Noriko how to:Use differentiation to understand a function's rate of change Apply the fundamental theorem of calculus, and grasp the relationship between a function's derivative and its integral Integrate and differentiate trigonometric and other complicated functions Use multivariate calculus and partial differentiation to deal with tricky functions Use Taylor Expansions to accurately imitate difficult functions with polynomials Whether you're struggling through a calculus course for the first time or you just need a painless refresher, you'll find what you're looking for in The Manga Guide to Calculus.This EduManga book is a translation from a bestselling series in Japan, co-published with Ohmsha, Ltd. of Tokyo, Japan.

    It was studied from antiquity to the Renaissance as a way of glimpsing the nature of reality. Geometry is number in space; music is number in time; and comology expresses number in space and time. Number, music, and geometry are metaphysical truths: life across the universe investigates them; they foreshadow the physical sciences.Quadrivium is the first volume to bring together these four subjects in many hundreds of years. Composed of six successful titles in the Wooden Books series-Sacred Geometry, Sacred Number, Harmonograph, The Elements of Music, Platonic & Archimedean Solids, and A Little Book of Coincidence-it makes ancient wisdom and its astonishing interconnectedness accessible to us today.Beautifully produced in six different colors of ink, Quadrivium will appeal to anyone interested in mathematics, music, astronomy, and how the universe works.

    Over 100 problems at ends of chapters. Answers in back of book. 1962 edition.