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Decimal Arithmetick
''Cocker's Decimal Arithmetick'' is a grammar school mathematics textbook written by Edward Cocker (1631–1676) and published posthumously by John Hawkins in 1684. ''Decimal Arithmetick'' along with companion volume, ''Cocker's Arithmetick'' published in 1677, were used in schools in the United Kingdom for more than 150 years. The concept of decimal fractions and the advantages of using them in calculations were well known, but a wide variety of different notations were in use. After surveying various notations, ''Decimal Arithmetick'' recommends the decimal point notation introduced by John Napier John Napier of Merchiston (; 1 February 1550 – 4 April 1617), nicknamed Marvellous Merchiston, was a Scottish landowner known as a mathematician, physicist, and astronomer. He was the 8th Laird of Merchiston. His Latinized name was Ioa ...: :''A decimal fraction being written ... by having a point or prick prefixed before it ... being written according to the first direct ...
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Edward Cocker
Edward Cocker (163122 August 1676) was an English engraver, who also taught writing and arithmetic. Cocker was the reputed author of the famous ''Arithmetick'', the popularity of which has added a phrase ("according to Cocker") to the list of English proverbialisms. He is credited with the authorship and execution of some fourteen sets of copy slips, one of which, ''Daniel's Copy-Book, ingraven by Edward Cocker, Philomath'' (1664), is preserved in the British Museum. Samuel Pepys, in his ''Diary'', makes very favourable mention of Cocker, who appears to have displayed great skill in his art. Cocker's ''Arithmetick'', the fifty-second edition of which appeared in 1748, and which passed through over 100 editions in all, was not published during the lifetime of its reputed author, the first impression being dated 1678. Augustus De Morgan in his ''Arithmetical Books'' (1847) argues that the work was a forgery of the editor and publisher, John Hawkins. Ruth Wallis, in 1997, wrot ...
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Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting poin ...
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Hardcover
A hardcover, hard cover, or hardback (also known as hardbound, and sometimes as case-bound) book is one bound with rigid protective covers (typically of binder's board or heavy paperboard covered with buckram or other cloth, heavy paper, or occasionally leather). It has a flexible, sewn spine which allows the book to lie flat on a surface when opened. Modern hardcovers may have the pages glued onto the spine in much the same way as paperbacks. Following the ISBN sequence numbers, books of this type may be identified by the abbreviation Hbk. Hardcover books are often printed on acid-free paper, and they are much more durable than paperbacks, which have flexible, easily damaged paper covers. Hardcover books are marginally more costly to manufacture. Hardcovers are frequently protected by artistic dust jackets, but a "jacketless" alternative has increased in popularity: these "paper-over-board" or "jacketless" hardcover bindings forgo the dust jacket in favor of printing th ...
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Grammar School
A grammar school is one of several different types of school in the history of education in the United Kingdom and other English-speaking countries, originally a school teaching Latin, but more recently an academically oriented secondary school, differentiated in recent years from less academic secondary modern schools. The main difference is that a grammar school may select pupils based on academic achievement whereas a secondary modern may not. The original purpose of medieval grammar schools was the teaching of Latin. Over time the curriculum was broadened, first to include Ancient Greek, and later English and other languages of Europe, European languages, natural sciences, mathematics, history, geography, art and other subjects. In the late Victorian era grammar schools were reorganised to provide secondary education throughout England and Wales; Scotland had developed a different system. Grammar schools of these types were also established in British territories overseas, wh ...
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Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting poin ...
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Cocker's Arithmetick
''Cocker's Arithmetick'', also known by its full title "Cocker's Arithmetick: Being a Plain and Familiar Method Suitable to the Meanest Capacity for the Full Understanding of That Incomparable Art, As It Is Now Taught by the Ablest School-Masters in City and Country", is a grammar school mathematics textbook written by Edward Cocker (1631–1676) and published posthumously by John Hawkins in 1678. ''Arithmetick'' along with companion volume, '' Decimal Arithmetick'' published in 1684, were used to teach mathematics in schools in the United Kingdom for more than 150 years. Some controversy exists over the authorship of the book. Augustus De Morgan claimed the work was written by Hawkins, who merely used Cocker's name to lend the authority of his reputation to the book. Ruth Wallis, in 1997, wrote an article in '' Annals of Science'', claiming De Morgan's analysis was flawed and Cocker was the real author. The popularity of ''Arithmetick'' is unquestioned by its more than 130 e ...
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Decimal Point
A decimal separator is a symbol used to separate the integer part from the fractional part of a number written in decimal form (e.g., "." in 12.45). Different countries officially designate different symbols for use as the separator. The choice of symbol also affects the choice of symbol for the thousands separator used in digit grouping. Any such symbol can be called a decimal mark, decimal marker, or decimal sign. Symbol-specific names are also used; decimal point and decimal comma refer to an (either baseline or middle) dot and comma respectively, when it is used as a decimal separator; these are the usual terms used in English, with the aforementioned generic terms reserved for abstract usage. In many contexts, when a number is spoken, the function of the separator is assumed by the spoken name of the symbol: ''comma'' or ''point'' in most cases. In some specialized contexts, the word ''decimal'' is instead used for this purpose (such as in International Civil Aviatio ...
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John Napier
John Napier of Merchiston (; 1 February 1550 – 4 April 1617), nicknamed Marvellous Merchiston, was a Scottish landowner known as a mathematician, physicist, and astronomer. He was the 8th Laird of Merchiston. His Latinized name was Ioannes Neper. 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. There is a memorial to him at St Cuthbert's at the west side of Edinburgh. Life Napier's father was Sir Archibald Napier of Merchiston Castle, and his mother was Janet Bothwell, daughter of the politician and judge Francis Bothwell, and a sister of Adam Bothwell who became the Bishop of Orkney. Archibald Napier was 16 years old when John Napier was born. There are no records of Napier's early education, but many believe that ...
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1678 Books
Events January–March * January 10 – England and the Dutch Republic sign a mutual defense treaty in order to fight against France. * January 27 – The first fire engine company (in what will become the United States) goes into service. * February 18 – The first part of English nonconformist preacher John Bunyan's Christian allegory, ''The Pilgrim's Progress'', is published in London. * March 21 – Thomas Shadwell's comedy ''A True Widow'' is given its first performance, at The Duke's Theatre in London, staged by the Duke's Company. * March 23 – Rebel Chinese general Wu Sangui takes the imperial crown, names himself monarch of "The Great Zhou", based in the Hunan report, with Hengyang as his capital. He contracts dysentery over the summer and dies on October 2, ending the rebellion against the Kangxi Emperor. * March 25 – The Spanish Netherlands city of Ypres falls after an eight-day siege by the French Army. It is later returne ...
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Mathematics Textbooks
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting poin ...
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