The central theme of this book is the solution of Diophantine equations, i.e., equations or systems of polynomial equations which must be solved in integers, rational numbers or more generally in algebraic numbers. This theme, in particular, is the central motivation for the modern theory of arithmetic algebraic geometry. In this text, this is considered through three of its most basic aspects. The book contains more than 350 exercises and the text is largely self-contained. Much more sophisticated techniques have been brought to bear on the subject of Diophantine equations, and for this reason, the author has included five appendices on these techniques.
Continuing on to the electronic revolution, Martin's account takes in the changes wrought on writing by computers and electronic systems of storage and communication, and offers surprising insights into the influence these new technologies have had on children born into the computer age. The power of writing to influence and dominate is, indeed, a central theme in this history, as Martin explores the processes by which the written word has gradually imposed its logic on society over four thousand years. The summation of decades of study by one of the world's great scholars on the subject, this fascinating account of writing explains much about the world we inhabit, where we uneasily confer, accept, and resist the power of the written word.
Originally published in French as Exégèse médiévale, Henri de Lubac's multivolume study of medieval exegesis and theology has remained one of the most significant works of modern biblical studies. Available now for the first time in English, this long-sought-after volume is an essential addition to the library of those whose study leads them into the difficult field of biblical interpretation. The first volume in de Lubac's multivolume work begins his comprehensive historical and literary study of the way Scripture was interpreted by the church of the Latin Middle Ages. Examining the prominent commentators of the Middle Ages and their texts, de Lubac discusses the medieval approach to biblical interpretation that sought "the four senses" of Scripture, especially the dominant practice of attempting to uncover Scripture's allegorical meaning. Though Bible interpreters from the Enlightenment era on have criticized such allegorizing as part of the "naivete of the Middle Ages," de Lubac insists that a full understanding of this ancient Christian exegesis provides important insights for us today.
The glory of the Imperial Guard resounds above all others in the annals of war. Created, built and nurtured as a bodyguard for Napoleon, it grew from a brigade of less than two thousand men into a virtual army, and became ‘a human fortress which no one but he could dominate and no enemy could penetrate’. And, on such battlefields as Austerlitz, Jena, Friedland, Wagram and Waterloo, it won the laurels of undying fame. Written by France’s foremost historian of the Napoleonic Wars, Commandant Henry Lachouque, and translated and adapted by Anne S. K. Brown, this sumptuous work is enhanced by over 180 illustrations, including 86 plates in full colour. With its vivid narrative and lavish illustrations, The Anatomy of Glory can lay justifiable claim to be one of the most magnificent books on military history ever published. The critical acclaim that greeted it upon its first publication provides ample testimony to its reputation: ‘This dramatic account of the birth, life and death of the fabulous Imperial Guard tells a stirring story in English for the first time.’-The Saturday Review of Literature. ‘No one but the most presumptuous who wishes to know about the Imperial Guard can afford to ignore this astonishing compilation. The illustrations alone...are reproduced with a clarity, a beauty, and technical perfection which no one can fail to admire.’ Journal of the RUSI. ‘This sumptuous book ... can yield rich rewards to any reader interested in the fabric of leadership. It is a delight to look at and a pleasure to read.’ -The New York Times. `... Not the well-worn history of conquest and defeat, but of the grognards themselves, marching through readable pages.’ -History Today. ‘Anne S. K. Brown has used her knowledge of French history and uniforms to render Lachouque freely and vigorously. Napoleon just happened to be fallible. But the superb apparatus of his fallibility is gorgeously recalled in this volume.’ The Scotsman.
Napoleons Imperial Guard was arguably the most famous military formation to tread the battlefields of Europe. La Garde Imperial was created on 18 May 1804, and from its origins as a small personal escort, the Guard grew in size and importance throughout the Napoleonic era. Eventually, it became the tactical reserve of the Grande Arme, comprising almost a third of Napoleons field forces. The men of the Imperial Guard were the lite of the First Empire, its officers and men the military aristocracy of post-Revolutionary France.Used only sparingly, the Guard acquired a reputation of invincibility. Such had become its prestige, when the attacks of the Guard were repulsed at Waterloo, they signaled not only the defeat of the French army but also the end of an era.In this magnificent study, unparalleled in depth and scope, the renowned French historian Commandant Henry Lachouque has produced a lavish and sumptuous work. It combines vivid narrative with valuable and unique uniform illustrations, including seventy-four full color plates from the Anne S.K. Brown collection, to make The Anatomy of Glory one of the most important and most sought-after books on military history ever published.
Part of the Ressourcement: Retrieval and Renewal in Catholic Thought Series, The Discovery of God contains the guiding thread of all of Henri de Lubac's work: the idea of God and the life of the spirit.
This book centers on the revolutionary French symbolist movement of the last part of the 19th century, translated by Emmett Parker. Peyre gets to the heart of the subject, through provocative lines.
A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.
H. I. Marrou's A History of Education in Antiquity has been an invaluable contribution in the fields of classical studies and history ever since its original publication in French in 1948. French historian H. I. Marrou traces the roots of classical education, from the warrior cultures of Homer, to the increasing importance of rhetoric and philosophy, to the adaptation of Hellenistic ideals within the Roman education system, and ending with the rise of Christian schools and churches in the early medieval period. Marrou shows how education, once formed as a way to train young warriors, eventually became increasingly philosophical and secularized as Christianity took hold in the Roman Empire. Through his examination of the transformation of Greco-Roman education, Marrou is able to create a better understanding of these cultures.
Originally published in French as Exgse mdivale,Henri de Lubac s monumental, multivolume study of medieval exegesis and theology has remained one of the most significant works of modern biblical studies. Examining the prominent commentators of the Middle Ages and their texts, de Lubac elucidates the medieval approach to biblical interpretation that sought the four senses of Scripture, especially the dominant practice of attempting to uncover Scripture s allegorical meaning.
Written by an authority with great practical and teaching experience in the field, this book addresses a number of topics in computational number theory. Chapters one through five form a homogenous subject matter suitable for a six-month or year-long course in computational number theory. The subsequent chapters deal with more miscellaneous subjects.
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