John Napier (Edited from Wikipedia)

John Napier (Edited from Wikipedia) SUMMARY John Napier of Merchiston (1550 – 4 April 1617) was a Scottish landowner known as a mathematician, physicist, and astronomer. He was born in the middle of the Scottish Reformation. John Napier is best known as the discoverer of logarithms. He also invented the so- called "Napier's bones" and made common the use of the decimal point in arithmetic and mathematics. Napier's birthplace, Merchiston Tower in Edinburgh, is now part of the facilities of Edinburgh Napier University. Napier died from the effects of gout at home at Merchiston Castle and his remains were buried in the kirkyard of St Giles. Following the loss of the kirkyard there to build Parliament House, he was memorialized at St Cuthbert's at the west side of Edinburgh. HISTORY Napier's father was Sir Archibald Napier of Merchiston Castle, and his mother was Janet Bothwell, daughter of the politician and judge Francis Bothwell, Lord of Session, and a sister of Adam Bothwell who became the Bishop of Orkney. Archibald Napier was 16 years old when John Napier was born. As was the common practice for members of the nobility at that time, he was privately tutored and did not have formal education until he was 13, when he was sent to St Salvator's College, St Andrews. He did not stay in college very long. It is believed that he dropped out of school in Scotland and perhaps travelled in mainland Europe to better continue his studies. Little is known about those years, where, when, or with whom he might have studied, although his uncle Adam Bothwell wrote a letter to John's father on 5 December 1560, saying "I pray you, sir, to send John to the schools either to France or Flanders, for he can learn no good at home", and it is believed that this advice was followed. 1 In 1571, Napier, aged 21, returned to Scotland, and bought a castle at Gartness in 1574. On the death of his father in 1608, Napier and his family moved into Merchiston Castle in Edinburgh, where he resided the remainder of his life. He died at the age of 67. In such conditions, it is hardly surprising that many mathematicians were acutely aware of the issues of computation and were dedicated to relieving practitioners of the calculation burden. In particular, the Scottish mathematician John Napier was famous for his devices to assist with computation. He invented a well-known mathematical artifact, the ingenious numbering rods more quaintly known as “Napier's bones,” that offered mechanical means for facilitating computation. In addition, Napier recognized the potential of the recent developments in mathematics, decimal fractions, and symbolic index arithmetic, to tackle the issue of reducing computation. He appreciated that, for the most part, practitioners who had laborious computations generally did them in the context of trigonometry. Therefore, as well as developing the logarithmic relation, Napier set it in a trigonometric context so it would be even more relevant. The Logarithm His work, Mirifici Logarithmorum Canonis Descriptio (1614) contained fifty-seven pages of explanatory matter and ninety pages of tables of numbers related to natural logarithms. The book also has an excellent discussion of theorems in spherical trigonometry, usually known as Napier's Rules of Circular Parts. Modern English translations of both Napier's books on logarithms, and their description can be found on the web, as well as a discussion of Napier's Bones and Promptuary (another early calculating device). His invention of logarithms was quickly taken up at Gresham College, and prominent English mathematician Henry Briggs visited Napier in 1615. Among the matters they discussed were a re-scaling of Napier's logarithms, in which the presence of the mathematical constant e (more accurately, e times a large power of 10 rounded to an integer) was a practical difficulty. Napier delegated to Briggs the computation of a revised table. The computational advance available via logarithms, the converse of powered numbers or exponential notation, was such that it made calculations by hand much quicker. The way was opened to later scientific advances, in astronomy, dynamics, and other areas of physics. Napier made further contributions. He improved Simon Stevin's decimal notation. Lattice multiplication, used by Fibonacci, was made more convenient by his introduction of Napier's bones, a multiplication tool using a set of numbered rods. 2 Napier may have worked largely in isolation, but he had contact with Tycho Brahe who corresponded with his friend John Craig. Theology Napier had an interest in the Book of Revelation, from his student days at St Salvator's College, St Andrews. Under the influence of the sermons of Christopher Goodman, he developed a strongly anti-papal reading. He further used the Book of Revelation for chronography, to predict the Apocalypse, in A Plaine Discovery of the Whole Revelation of St. John (1593), which he regarded as his most important work; he also calculated a date for the end of the world. Napier believed that would occur in 1688 or 1700. He dated the seventh trumpet to 1541. In his dedication of the Plaine Discovery to James VI, dated 29 Jan 1594, Napier urged the king to see "that justice be done against the enemies of God's church," and counseled the King "to reform the universal enormities of his country, and first to begin at his own house, family, and court." The volume includes nine pages of Napier's English verse. It met with success at home and abroad. In 1600 Michiel Panneel produced a Dutch translation, and this reached a second edition in 1607. In 1602 the work appeared at La Rochelle in a French version, by Georges Thomson, revised by Napier, and that also went through several editions (1603, 1605, and 1607). A new edition of the English original was called for in 1611, when it was revised and corrected by the author, and enlarged. This appeared simultaneously at Edinburgh and London. The author stated that he still intended to publish a Latin edition, but it never appeared. A German translation, by Leo de Dromna, of the first part of Napier's work appeared at Gera in 1611, and of the whole by Wolfgang Meyer at Frankfurt-am-Main, in 1615. THE SCOTTISH REFORMATION The Scottish Reformation was the process by which Scotland broke with the Papacy and developed a predominantly Calvinist national Kirk (another word for church), which was strongly Presbyterian in outlook. It was part of the wider European Protestant Reformation that took place from the sixteenth century. From the late fifteenth century the ideas of Renaissance humanism, critical of aspects of the established Catholic Church, began to reach Scotland, particularly through the contacts between Scottish and continental scholars. In the earlier part of the sixteenth 3 century, the teachings of Martin Luther began to influence Scotland. Particularly important was the work of the Lutheran Scot Patrick Hamilton, who was executed in 1528. Unlike his uncle Henry VIII in England, James V, King of Scotland, avoided major structural and theological changes to the church and used it as a source of income and for appointments for his illegitimate children and favorites. His death in 1542 left the infant Mary, Queen of Scots as his heir, allowing a series of English invasions later known as the Rough Wooing. The English supplied books and distributed Bibles and Protestant literature in the Lowlands when they invaded in 1547. The execution of the Zwingli-influenced George Wishart in 1546, who was burnt at the stake on the orders of Cardinal David Beaton, stimulated the growth of these ideas in reaction. Wishart's supporters, who included a number of Fife lairds, assassinated Beaton soon after and seized St. Andrews Castle, which they held for a year before they were defeated with the help of French forces. The survivors, including chaplain John Knox, were condemned to serve as galley slaves. Their martyrdom stirred resentment of the French and inspiring additional martyrs for the Protestant cause. Limited toleration and the influence of exiled Scots and Protestants in other countries, led to the expansion of Protestantism, with a group of lairds declaring themselves Lords of the Congregation in 1557 and representing their interests politically. A “laird” is another name for the owner of a large, long-named Scottish estate. The collapse of the French alliance, followed by English intervention in 1560, meant that a relatively small but highly influential group of Protestants had the power to impose reform on the Scottish church. The Scottish Reformation Parliament of 1560 adopted a Protestant confession of faith, rejecting papal jurisdiction and the mass. Knox, having escaped the galleys and having spent time in Geneva, where he became a follower of Calvin, emerged as the most significant figure. The Calvinism of the reformers led by Knox resulted in a settlement that adopted a Presbyterian system and rejected most of the elaborate trappings of the Medieval church. When her husband Francis II died in 1560, the Catholic Mary returned to Scotland to take up the government. Her six-year personal reign was marred by a series of crises, largely caused by the intrigues and rivalries of the leading nobles. Opposition to her third husband Bothwell led to the formation of a coalition of nobles, who captured Mary and forced her abdicate in favor of her son, who came to the throne as James VI in 1567. James 4 was brought up a Protestant, but resisted Presbyterianism and the independence of the Kirk. The Reformation resulted in major changes in Scottish society. These included a desire to plant a school in every parish and major reforms of the university system.

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