Concepts of Christian martyrdom changed greatly in England from the late middle ages through the early modern era. The variety of paradigms of Christian martyrdom (with, for example, virginity or asceticism perceived as alternate forms of martyrdom) that existed in the late medieval period, came to be replaced during the English Reformation with a single dominant idea of martyrdom: that of violent death endured for orthodox religion. Yet during the seventeenth century another transformation in conceptions of martyrdom took place, as those who died on behalf of overtly political causes came to be regarded as martyrs, indistinguishable from those who died for Christ. The articles in this book explore these seminal changes across the period from 1400-1700, analyzing the political, social and religious backgrounds to these developments. While much that has been written on martyrs, martyrdom and martyrologies has tended to focus on those who died for a particular confession or cause, this book shows how the concepts of martyrdom were shaped, altered and re-shaped through the interactions between these groups. THOMAS S. FREEMAN is Research Officer at the British Academy John Foxe Project, which is affiliated with the University of Sheffield. THOMAS F. MAYER is Professor of History at Augustana College. Contributors: JOHN COFFEY, BRAD S. GREGORY, VICTOR HOULISTON, ANDREW LACEY, DANNA PIROYANSKY, RICHARD REX, ALEC RYRIE, WILLIAM WIZEMAN

The first study to deal exclusively with the cult and the political theology underpinning it, taking the story up to 1859. The cult of King Charles the Martyr did not spring into life fully formed in January 1649. Its component parts were fashioned during Charles's captivity and were readily available to preachers and eulogists in the weeks and monthsafter the regicide. However, it was the publication of the Eikon Basilike in early February 1649 that established the image of Charles as a suffering, innocent king, walking in the footsteps of his Saviour to his own Calvary at Whitehall. The figure of the martyr and the shared set of images and beliefs surrounding him contributed to the survival of royalism and Anglicanism during the years of exile. With the Restoration the cult was given official status by the annexing of the Office for the 30th January in the Book of Common Prayer in 1662. The political theology underpinning the cult and a particular historiography of the Civil Wars were presented as the only orthodox reading of these events. Yet from the Exclusion Crisis onwards dissonant voices were heard challenging the orthodox interpretation. In these circumstances the cult began to fragment between those who retained the political theology of the 1650s and those who sought to adapt the cult to the changing political and dynastic circumstances of 1688 and 1714. This is the first study to deal exclusively with the cult and takes the story up until1859, the year in which the Office for the 30th January was removed from the Book of Common Prayer. Apart from discussing the origins of the cult in war, revolution and defeat it also reveals the extent to which politicaldebate in the late seventeenth and early eighteenth centuries was conducted in terms of the Civil Wars. It also goes some way to explaining the persistence of conservative assumptions and patterns of thought. ANDREW LACEY is currently Special Collections Librarian, University of Leicester, and College Librarian, Trinity Hall, Cambridge.

Partial differential equations are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This new edition of Applied PDEs contains many new sections and exercises Including, American options, transform methods, free surface flows, linear elasticity and complex characteristics.

Partial differential equations are used in mathematical models of a huge range of real-world phenomena, from electromagnetism to financial markets. This new edition of Applied PDEs contains many new sections and exercises including: American options, transform methods, free surface flows, linear elasticity and complex characteristics .