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Author: Helena M. Pycior
Publisher: Cambridge University Press
ISBN: 9780521481243
Category : Biography & Autobiography
Languages : en
Pages : 40
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Book Description
Symbols, Impossible Numbers, and Geometric Entanglements is the first history of the development and reception of algebra in early modern England and Scotland. Not primarily a technical history, this book analyzes the struggles of a dozen British thinkers to come to terms with early modern algebra, its symbolical style, and negative and imaginary numbers. Professor Pycior uncovers these thinkers as a "test-group" for the symbolic reasoning that would radically change not only mathematics but also logic, philosophy, and language studies. The book also shows how pedagogical and religious concerns shaped the British debate over the relative merits of algebra and geometry. The first book to position algebra firmly in the Scientific Revolution and pursue Newton the algebraist, it highlights Newton's role in completing the evolution of algebra from an esoteric subject into a major focus of British mathematics. Other thinkers covered include Oughtred, Harriot, Wallis, Hobbes, Barrow, Berkeley, and MacLaurin.
Author: Helena M. Pycior
Publisher: Cambridge University Press
ISBN: 9780521481243
Category : Biography & Autobiography
Languages : en
Pages : 40
Get Book Here
Book Description
Symbols, Impossible Numbers, and Geometric Entanglements is the first history of the development and reception of algebra in early modern England and Scotland. Not primarily a technical history, this book analyzes the struggles of a dozen British thinkers to come to terms with early modern algebra, its symbolical style, and negative and imaginary numbers. Professor Pycior uncovers these thinkers as a "test-group" for the symbolic reasoning that would radically change not only mathematics but also logic, philosophy, and language studies. The book also shows how pedagogical and religious concerns shaped the British debate over the relative merits of algebra and geometry. The first book to position algebra firmly in the Scientific Revolution and pursue Newton the algebraist, it highlights Newton's role in completing the evolution of algebra from an esoteric subject into a major focus of British mathematics. Other thinkers covered include Oughtred, Harriot, Wallis, Hobbes, Barrow, Berkeley, and MacLaurin.
Author: Jacqueline A. Stedall
Publisher: OUP Oxford
ISBN: 0191545759
Category : Mathematics
Languages : en
Pages : 307
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Book Description
For historians of mathematics and those interested in the history of science, 'A Discourse Concerning Algebra' provides an new and readable account of the rise of algebra in England from the Medieval period to the later years of the 17th century. Including new research, this is the most detailed study to date of early modern English algebra, which builds on work published in 1685 by John Wallis (Savilian Professor of Geometry at Oxford) on the history of algebra. Stedall's book follows the reception and dissemination of important algebraic ideas and methods from continental Europe (especially those of Viéte) and the consequent revolution in the state of English mathematics in the 17th century. The text emphasises the contribution of Wallis, but substantial reference is also provided to other important mathematicans such as Harriot, Oughtred, Pell and Brouncker.
Author: Kevin C. Knox
Publisher: Cambridge University Press
ISBN: 9780521663106
Category : Biography & Autobiography
Languages : en
Pages : 524
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Book Description
Cambridge University's Lucasian Professorship of Mathematics is one of the world's most celebrated academic positions. Since its foundation in 1663, the chair has been held by seventeen men who represent some of the most influential minds in science and technology. Principally a social history of mathematics and physics, the story of these great natural philosophers and mathematical physicists is told here by some of the finest historians of science. This informative work offers new perspectives on world famous scientists including Isaac Newton, Charles Babbage, Paul Dirac, and Stephen Hawking.
Author: John Gascoigne
Publisher: Taylor & Francis
ISBN: 1040234224
Category : History
Languages : en
Pages : 299
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Book Description
Taking as its focus the wide-ranging character of the Enlightenment, both in geographical and intellectual terms, this second collection of articles by John Gascoigne explores this movement's filiation and influence in a range of contexts. In contrast to some recently influential views it emphasises the evolutionary rather than the revolutionary character of the Enlightenment and its ability to change society by adaptation rather than demolition. This it does by reference, firstly, to developments in Britain tracing the changing views of history in relation to the Biblical account, the ideological uses of science (and particularly the work of Newton) and their connections to developments in moral philosophy and the teaching of science and philosophy in response to Enlightenment modes of thought. The collection then turns to the wider global setting of the Enlightenment and the way in which that movement served to provide a justification for European exploration and expansion, developments which found one of their most potent embodiments in the diverse uses of mapping. The collection concludes with an exploration of the interplay between the experience of Pacific contact and the currents of thought which characterised the Enlightenment in Germany.
Author: Thomas Reid
Publisher: Edinburgh University Press
ISBN: 0748643397
Category : Philosophy
Languages : en
Pages : 513
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Book Description
Reconstructs Reid's career as a mathematician and natural philosopher for the first time
Author: Andrea K. Henderson
Publisher: Oxford University Press
ISBN: 0198809980
Category : Art
Languages : en
Pages : 231
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Book Description
Algebraic Art explores the invention of a peculiarly Victorian account of the nature and value of aesthetic form, and it traces that account to a surprising source: mathematics. Drawing on literature, art, and photography, it explores how the Victorian mathematical conception of form still resonates today.
Author: Mark Priestley
Publisher: Springer Science & Business Media
ISBN: 1848825552
Category : Computers
Languages : en
Pages : 344
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Book Description
Today, computers fulfil a dazzling array of roles, a flexibility resulting from the great range of programs that can be run on them. A Science of Operations examines the history of what we now call programming, defined not simply as computer programming, but more broadly as the definition of the steps involved in computations and other information-processing activities. This unique perspective highlights how the history of programming is distinct from the history of the computer, despite the close relationship between the two in the 20th century. The book also discusses how the development of programming languages is related to disparate fields which attempted to give a mechanical account of language on the one hand, and a linguistic account of machines on the other. Topics and features: Covers the early development of automatic computing, including Babbage’s “mechanical calculating engines” and the applications of punched-card technology, examines the theoretical work of mathematical logicians such as Kleene, Church, Post and Turing, and the machines built by Zuse and Aiken in the 1930s and 1940s, discusses the role that logic played in the development of the stored program computer, describes the “standard model” of machine-code programming popularised by Maurice Wilkes, presents the complete table for the universal Turing machine in the Appendices, investigates the rise of the initiatives aimed at developing higher-level programming nota tions, and how these came to be thought of as ‘languages’ that could be studied independently of a machine, examines the importance of the Algol 60 language, and the framework it provided for studying the design of programming languages and the process of software development and explores the early development of object-oriented languages, with a focus on the Smalltalk project. This fascinating text offers a new viewpoint for historians of science and technology, as well as for the general reader. The historical narrative builds the story in a clear and logical fashion, roughly following chronological order.
Author: Victor J. Katz
Publisher: American Mathematical Soc.
ISBN: 1470457113
Category : Mathematics
Languages : en
Pages : 1378
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Book Description
Contains 11 modules consist of a number of activities designed to demonstrate the use of the history of mathematics in the teaching of mathematics. Objectives of the Modules: To enable students to develop a much richer understanding of mathematics and its applications by viewing the same phenomena from multiple mathematical perspectives; To enable students to understand the historical background and connections among historical ideas leading to the development of mathematics; To enable students to see how mathematical concepts evolved over periods of time; To provide students with opportunities to apply their knowledge of mathematics to various concrete situations and problems in a historical context; To develop in students an appreciation of the history connected with the development of different mathematical concepts; To enable students to recognize and use connections among mathematical ideas; To enable students to understand how mathematical ideas interconnect and build on one another to produce a coherent whole; To lead students to recognize and apply mathematics in contexts outside of mathematics.--Publisher.
Author: Bart van Kerkhove
Publisher: Springer Science & Business Media
ISBN: 1402050348
Category : Science
Languages : en
Pages : 243
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Book Description
In the eyes of the editors, this book will be considered a success if it can convince its readers of the following: that it is warranted to dream of a realistic and full-fledged theory of mathematical practices, in the plural. If such a theory is possible, it would mean that a number of presently existing fierce oppositions between philosophers, sociologists, educators, and other parties involved, are in fact illusory.
Author: Carlos R. Bovell
Publisher: Wipf and Stock Publishers
ISBN: 1606084577
Category : Religion
Languages : en
Pages : 189
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Book Description
By Good and Necessary Consequence presents a critical examination of the reasoning behind the good and necessary consequence clause in the Westminster Confession of Faith and makes five observations regarding its suitability for contemporary Reformed and evangelical adherents. 1) In the seventeenth century, religious leaders in every quarter were expected to respond to a thoroughgoing, cultural skepticism. 2) In response to the onslaught of cultural and epistemological skepticism, many looked to mimic as far as possible the deductive methods of mathematicians. 3) The use to which biblicist foundationalism was put by the Westminster divines is at variance with the classical invention, subsequent appropriation, and contemporary estimation of axiomatic and deductive methodology. 4) Although such methodological developments in theology might have seemed natural during the seventeenth century, their epistemological advantage is not evident today. 5) When a believer's faith is epistemologically ordered in a biblicist foundationalist way, once the foundation--the axiomatic use of a veracious scripture--is called into question, the entire faith is in serious danger of crashing down. In a nutshell, Bovell argues that it is not wise to structure the Christian faith in this biblicist foundationalist way, and that it is high time alternate approaches be sought.
