Symbols, Impossible Numbers, and Geometric Entanglements

British Algebra Through the Commentaries on Newton's Universal Arithmetick

Author: Helena M. Pycior

Publisher: Cambridge University Press

ISBN: 0521027403

Category: Mathematics

Page: 344

View: 7967

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.

A Discourse Concerning Algebra

English Algebra to 1685

Author: Jacqueline A. Stedall

Publisher: Oxford University Press, USA

ISBN: 0198524951

Category: Mathematics

Page: 294

View: 8153

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 bookfollows the reception and dissemination of important algebraic ideas and methods from continental Europe (especially those of Viete) 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.

From Newton to Hawking

A History of Cambridge University's Lucasian Professors of Mathematics

Author: Kevin C. Knox,Richard Noakes

Publisher: Cambridge University Press

ISBN: 9780521663106

Category: Biography & Autobiography

Page: 486

View: 4454

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.

The Cambridge Companion to Newton

Author: I. Bernard Cohen,George E. Smith

Publisher: Cambridge University Press

ISBN: 9780521656962

Category: History

Page: 500

View: 1467

In this volume a team of distinguished contributors examines all the main aspects of Newton's thought.

British Logic in the Nineteenth Century

Author: Dov M. Gabbay,John Woods

Publisher: Elsevier

ISBN: 9780080557014

Category: Mathematics

Page: 750

View: 9076

The present volume of the Handbook of the History of Logic is designed to establish 19th century Britain as a substantial force in logic, developing new ideas, some of which would be overtaken by, and other that would anticipate, the century's later capitulation to the mathematization of logic. British Logic in the Nineteenth Century is indispensable reading and a definitive research resource for anyone with an interest in the history of logic. - Detailed and comprehensive chapters covering the entire range of modal logic - Contains the latest scholarly discoveries and interpretative insights that answer many questions in the field of logic

From Discrete to Continuous

The Broadening of Number Concepts in Early Modern England

Author: K. Neal

Publisher: Springer Science & Business Media

ISBN: 940170077X

Category: Mathematics

Page: 175

View: 6602

In the early modern period, a crucial transformation occurred in the classical conception of number and magnitude. Traditionally, numbers were merely collections of discrete units that measured some multiple. Magnitude, on the other hand, was usually described as being continuous, or being divisible into parts that are infinitely divisible. This traditional idea of discrete number versus continuous magnitude was challenged in the early modern period in several ways. This detailed study explores how the development of algebraic symbolism, logarithms, and the growing practical demands for an expanded number concept all contributed to a broadening of the number concept in early modern England. An interest in solving practical problems was not, in itself, enough to cause a generalisation of the number concept. It was the combined impact of novel practical applications together with the concomitant development of such mathematical advances as algebraic notation and logarithms that produced a broadened number concept.

Mathematics in Victorian Britain

Author: photographer and broadcaster Foreword by Dr Adam Hart-Davis

Publisher: OUP Oxford

ISBN: 0191627941

Category: Mathematics

Page: 480

View: 1373

During the Victorian era, industrial and economic growth led to a phenomenal rise in productivity and invention. That spirit of creativity and ingenuity was reflected in the massive expansion in scope and complexity of many scientific disciplines during this time, with subjects evolving rapidly and the creation of many new disciplines. The subject of mathematics was no exception and many of the advances made by mathematicians during the Victorian period are still familiar today; matrices, vectors, Boolean algebra, histograms, and standard deviation were just some of the innovations pioneered by these mathematicians. This book constitutes perhaps the first general survey of the mathematics of the Victorian period. It assembles in a single source research on the history of Victorian mathematics that would otherwise be out of the reach of the general reader. It charts the growth and institutional development of mathematics as a profession through the course of the 19th century in England, Scotland, Ireland, and across the British Empire. It then focuses on developments in specific mathematical areas, with chapters ranging from developments in pure mathematical topics (such as geometry, algebra, and logic) to Victorian work in the applied side of the subject (including statistics, calculating machines, and astronomy). Along the way, we encounter a host of mathematical scholars, some very well known (such as Charles Babbage, James Clerk Maxwell, Florence Nightingale, and Lewis Carroll), others largely forgotten, but who all contributed to the development of Victorian mathematics.

Numbers and Things

Nominalism and Constructivism in Seventeenth-century Mathematical Philosophy

Author: David Christopher Sepkoski

Publisher: N.A



Page: 682

View: 4089


Skepticism in Renaissance and Post-Renaissance Thought

New Interpretations

Author: José Raimundo Maia Neto,Richard Henry Popkin

Publisher: N.A


Category: History

Page: 252

View: 553

This second volume in the Journal of the History of Philosophy book series (JHP Books) is devoted to the resurgence of skepticism in the Renaissance and after. It contains eight original essays by historians of early modern philosophy from Europe and North and South America, with concluding remarks by Richard H. Popkin, who reviews fifty years of scholarship on the history of early modern skepticism and evaluates its present stage. The essays uncover new material relevant to the history of skepticism in the period and propose new interpretations of the nature, role, and influence of skepticism from Montaigne to Berkeley. The contributors discuss such important figures as Michel de Montaigne, Thomas Hobbes, Pierre Bayle, Henry More, René Descartes, Pierre-Daniel Huet, Pierre Gassendi, and George Berkeley. By indicating a number of new problems brought about by the early modern philosophers’ engagement with and reaction to skepticism, the authors of the important essays in this volume make a major contribution to our understanding of ancient and modern skepticism.

Program of the ... Annual Meeting

Author: American Historical Association. Meeting

Publisher: N.A


Category: History

Page: N.A

View: 2066

Some programs include also the programs of societies meeting concurrently with the association.

The Brokered World

Go-betweens and Global Intelligence, 1770-1820

Author: Simon Schaffer

Publisher: Science History Publications/USA

ISBN: 9780881353747

Category: Science

Page: 522

View: 2072

Collection of essays focusing on the roles of intermediaries such as brokers and spies, messengers and translators, missionaries and entrepreneurs, in linking different parts of the ever more densely entangled systems of knowledge production and circulation at a key moment in the development of global scientific, commercial and political systems. The period 1770-1820 was decisive for the reformation of imperial projects in the wake of military catastrophe and politico-economic crisis, both in the Atlantic and the Asian/Pacific spheres -- economic and political worlds dominated by complex trade systems and violent contest. This conjuncture also saw the overhaul of networks and institutions of natural knowledge, whether commercial, voluntary or organs of state. Both the industrial and the second scientific revolutions have been dated to this moment. New and decisive relations were forged between different cultures' knowledge carriers. The authors consider knowledge movements of the epoch that escape simple models of metropolitan centre and remote colonial periphery. They question the immutable character of mediators and agents in knowledge communication.

Historical Abstracts

Modern history abstracts, 1775-1914

Author: Eric H. Boehm

Publisher: N.A


Category: History, Modern

Page: N.A

View: 9921