The volume is devoted to the interaction of modern scientific computation and classical number theory. The contributions, ranging from effective finiteness results to efficient algorithms in elementary, analytical and algebraic number theory, provide a broad view of the methods and results encountered in the new and rapidly developing area of computational number theory. Topics covered include finite fields, quadratic forms, number fields, modular forms, elliptic curves and diophantine equations. In addition, two new number theoretical software packages, KANT and SIMATH, are described in detail with emphasis on algorithms in algebraic number theory.

This study argues that the language of "death" as a present human plight in Romans 5-8 is best understood against the background of Hellenistic moral-psychological discourse, in which "death" refers to a state of moral bondage in which a person's rational will is dominated by passions associated with the body. It is death of this sort, rather than human mortality or a cosmic power called "Death," that entered the world through the transgression of Adam and Eve in Eden. Moral death was imposed on humanity as a judgment against this initial transgression, in order to increase sinful behavior, which ultimately serves to increase the magnitude of the glorious revelation of God's grace through Jesus Christ. Likewise, creation's subjection to "corruption" and "futility" in Romans 8 involves the detrimental effects of human moral corruption, not the physical corruption of death and decay. Ultimately, the plight on which Paul focuses much of his attention throughout Rom 5-8 is a matter of morality, not mortality.

An illustrated study of the British tribal warriors and Roman auxiliaries who fought in three epic battles for control of Britain in the 1st century AD. Following the Roman invasion of Britain in AD 43, the tribes of the west and north resisted the establishment of a 'Roman peace', led in particular by the chieftain Caratacus. Even in the south-east, resentment of Roman occupation remained, exploding into the revolt of Boudicca's Iceni in AD 60. Roman auxiliaries from two particular peoples are known to have taken part in the invasion of Britain: the Tungrians, from what is now Belgium, and the Batavians, from the delta of the River Rhine in the modern Netherlands. From the late 80s AD, units of both the Batavians and the Tungrians were garrisoned at a fort at Vindolanda in northern Britain. The so called 'Vindolanda tablets' provide an unparalleled body of material with which to reconstruct the lives of these auxiliary soldiers in Britain. Featuring full-colour maps and specially commissioned battlescene and figure artwork plates, this book examines how both the British warriors and the Roman auxiliaries experienced the decades of conflict that followed the invasion. Their recruitment, training, leadership, motivation, culture and beliefs are compared alongside an assessment of three particular battles: the final defeat of Caratacus in the hills of Wales in AD 50; the Roman assault on the island of Mona (Anglesey) in AD 60; and the battle of Mons Graupius in Scotland in AD 83.

The Numidian light cavalry were among the best-known horsemen in the ancient world: riding without saddles or bridle, carrying only hide shields for defense and clutching a handful of light javelins, they were renowned for their darting attacks, swift retreats, and skirmishing prowess. Yet, as much as they were respected by their allies and enemies, they were unfairly derided for their indiscipline, their perceived lack of culture, and their fecklessness, and dismissed as uncivilized, nomadic barbarians from beyond the fringes of the cultured, settled Mediterranean world. The famous portrayal of Numidian horsemen on Trajan's Column, of barefoot riders in simple tunics, astride tiny ponies, reinforces this view, and is the image that is almost universally reproduced. Recent scholarship, however, has shown that there is far more evidence for the armour and equipment of the Numidians than hitherto assumed. The carved stone shields and cuirasses that punctuate the decorative friezes of the stone 'altars' at Kbor Klib and Chimtou in North Africa are confident representations of Numidian panoplies, not captured Carthaginian armour as has previously been argued. In this book, this research is presented alongside a close examination of various ancient texts which reveals that the Numidians also fielded infantry, slingers, archers, and even war elephants in conflicts across the Mediterranean, including Spain, Greece, northern Italy, and Thrace. All of these troops are brought to life in original colour artwork, complemented by chapters on their weapons and equipment, history, tactics, and organization.