Thomas Harriot's Artis Analyticae Praxis

Thomas Harriot's Artis Analyticae Praxis
Author: Muriel Seltman
Publisher: Springer Science & Business Media
Total Pages: 303
Release: 2007-05-09
Genre: Mathematics
ISBN: 0387495126

This is the first English translation of Thomas Harriot’s seminal Artis Analyticae Praxis, first published in Latin in 1631. It has recently become clear that Harriot's editor substantially rearranged the work, and omitted sections beyond his comprehension. Commentary included with this translation relates to corresponding pages in the manuscript papers, enabling exploration of Harriot's novel and advanced mathematics. This publication provides the basis for a reassessment of the development of algebra.

Thomas Harriot: Science and Discovery in the English Renaissance

Thomas Harriot: Science and Discovery in the English Renaissance
Author: Robert Fox
Publisher: Taylor & Francis
Total Pages: 185
Release: 2022-12-29
Genre: History
ISBN: 100081114X

This volume sheds new light on one of the most remarkable polymaths of the English Renaissance. It offers original perspectives not only on Harriot’s personal achievements in mathematics and natural philosophy but also on the wider realms of exploration, colonial ambition, and philosophical debate in which he earned the attention and respect of contemporaries in and far beyond the socially elevated circles of his two great patrons, first Walter Ralegh and then Henry Percy, the ninth Earl of Northumberland. Harriot’s sixteenth-century world was one of unprecedented expansion in both scientific understanding and the discovery of new lands and peoples. The essays gathered here bring out forcefully the effect of this expanding vision, encapsulated in Harriot’s Briefe and true report of the new found land of Virginia (1588), the first detailed description of America to be published in the English language. In addition to an essay by a recent biographer of Harriot, the volume contains reworked versions of seven Thomas Harriot Lectures, an annual lecture series inaugurated in 1990 in Oriel College, Oxford. It follows two earlier volumes of Harriot Lectures, also edited by Robert Fox, that appeared in 2000 and 2012.

Thomas Harriot and His World

Thomas Harriot and His World
Author: Robert Fox
Publisher: Routledge
Total Pages: 265
Release: 2016-12-05
Genre: History
ISBN: 1351879197

This second volume of papers on Thomas Harriot edited by Professor Robert Fox is based on the annual Harriot lectures delivered at Oriel College, Oxford between 2000 and 2009. It complements the previous volume, published as Thomas Harriot: An Elizabethan Man of Science in 2000. The focus in several of the papers is on Harriot's outstanding achievements as a mathematician; others consider why he has never received the recognition accorded to his great contemporary, Galileo; others again examine his association with his entrepreneurial patron Walter Ralegh and his contributions to the intensely practical world of exploration and seamanship, as exemplified in his voyage to the coast of present-day North Carolina in 1585. The volume adds significantly to our understanding of a true Renaissance man who wrote accomplished Latin, earned the respect of Europe's leading mathematicians and astronomers, and moved easily in circles close to the English court and whose 'Brief and true report of the new found land of Virginia' (1588) was the first detailed description of America to be published in the English language.

Thomas Harriot

Thomas Harriot
Author: Robyn Arianrhod
Publisher: Oxford University Press
Total Pages: 372
Release: 2019-04-04
Genre: History
ISBN: 0190271868

As Robyn Arianrhod shows in this new biography, the most complete to date, Thomas Harriot was a pioneer in both the figurative and literal sense. Navigational adviser and loyal friend to Sir Walter Ralegh, Harriot--whose life was almost exactly contemporaneous to Shakespeare's--took part in the first expedition to colonize Virginia in 1585. Not only was he responsible for getting Ralegh's ships safely to harbor in the New World, he was also the first European to acquire a working knowledge of an indigenous language from what is today the US, and to record in detail the local people's way of life. In addition to his groundbreaking navigational, linguistic, and ethnological work, Harriot was the first to use a telescope to map the moon's surface, and, independently of Galileo, recorded the behavior of sunspots and discovered the law of free fall. He preceded Newton in his discovery of the properties of the prism and the nature of the rainbow, to name just two more of his unsung "firsts." Indeed many have argued that Harriot was the best mathematician of his age, and one of the finest experimental scientists of all time. Yet he has remained an elusive figure. He had no close family to pass down records, and few of his letters survive. Most importantly, he never published his scientific discoveries, and not long after his death in 1621 had all but been forgotten. In recent decades, many scholars have been intent on restoring Harriot to his rightful place in scientific history, but Arianrhod's biography is the first to pull him fully into the limelight. She has done it the only way it can be done: through his science. Using Harriot's re-discovered manuscripts, Arianrhod illuminates the full extent of his scientific and cultural achievements, expertly guiding us through what makes them original and important, and the story behind them. Harriot's papers provide unique insight into the scientific process itself. Though his thinking depended on a more natural, intuitive approach than those who followed him, and who achieved the lasting fame that escaped him, Harriot helped lay the foundations of what in Newton's time would become modern physics. Thomas Harriot: A Life in Science puts a human face to scientific inquiry in the Elizabethan and Jacobean worlds, and at long last gives proper due to the life and times of one of history's most remarkable minds.

The English Galileo

The English Galileo
Author: Matthias Schemmel
Publisher: Springer Science & Business Media
Total Pages: 755
Release: 2008-09-16
Genre: Science
ISBN: 1402054998

The English Galileo—the title of this book draws on the extraordinary prominence of Galileo Galilei in the historiography of the early modern Scienti?c Revolution. At the same time it questions the uniqueness of Galileo (not as a person, of course, but as an early modern phenomenon) by proclaiming another ?gure of his kind: Thomas H- riot. But putting Harriot on a pedestal next to Galileo is not a concern of this book, which is rather motivated by questions of the following kind: How did modern s- ence come about? What were the processes of knowledge and concept transformation that led from premodern to modern science, and, more speci?cally, from preclassical to classical mechanics? Which aspects of these developments rely on the peculiarities of particular historical actors and what aspects re?ect more general characteristics of the knowledge system at the time and its potentials for development? To answer such questions it is obviously necessary to complement the existing studies on Galileo’s science with studies on the work of his lesser-known contemporaries; and it is imp- tant that these studies are carried out in similar detail to make the different prota- nists’ work comparable. Without such comparison—this is the basic assumption of this book—our understanding of the shared knowledge of early modern thinking and the processes of knowledge transformation from which modern science emerged will remain incomplete and biased.

British Versions of Book II of Euclid’s Elements: Geometry, Arithmetic, Algebra (1550–1750)

British Versions of Book II of Euclid’s Elements: Geometry, Arithmetic, Algebra (1550–1750)
Author: Leo Corry
Publisher: Springer Nature
Total Pages: 79
Release: 2022-09-12
Genre: Science
ISBN: 3031115384

This book discusses the changing conceptions about the relationship between geometry and arithmetic within the Euclidean tradition that developed in the British context of the sixteenth and seventeenth century. Its focus is on Book II of the Elements and the ways in which algebraic symbolism and methods, especially as recently introduced by François Viète and his followers, took center stage as mediators between the two realms, and thus offered new avenues to work out that relationship in idiosyncratic ways not found in earlier editions of the Euclidean text. Texts examined include Robert Recorde's Pathway to Knowledge (1551), Henry Billingsley’s first English translation of the Elements (1570), Clavis Mathematicae by William Oughtred and Artis Analyticae Praxis by Thomas Harriot (both published in 1631), Isaac Barrow’s versions of the Elements (1660), and John Wallis Treatise of Algebra (1685), and the English translations of Claude Dechales’ French Euclidean Elements (1685). This book offers a completely new perspective of the topic and analyzes mostly unexplored material. It will be of interest to historians of mathematics, mathematicians with an interest in history and historians of renaissance science in general.

From Cardano's Great Art to Lagrange's Reflections

From Cardano's Great Art to Lagrange's Reflections
Author: Jacqueline A. Stedall
Publisher: European Mathematical Society
Total Pages: 244
Release: 2011
Genre: Mathematics
ISBN: 9783037190920

This book is an exploration of a claim made by Lagrange in the autumn of 1771 as he embarked upon his lengthy ``Reflexions sur la resolution algebrique des equations'': that there had been few advances in the algebraic solution of equations since the time of Cardano in the mid sixteenth century. That opinion has been shared by many later historians. The present study attempts to redress that view and to examine the intertwined developments in the theory of equations from Cardano to Lagrange. A similar historical exploration led Lagrange himself to insights that were to transform the entire nature and scope of algebra. Progress was not confined to any one country: at different times mathematicians in Italy, France, the Netherlands, England, Scotland, Russia, and Germany contributed to the discussion and to a gradual deepening of understanding. In particular, the national Academies of Berlin, St. Petersburg, and Paris in the eighteenth century were crucial in supporting informed mathematical communities and encouraging the wider dissemination of key ideas. This study therefore truly highlights the existence of a European mathematical heritage. The book is written in three parts. Part I offers an overview of the period from Cardano to Newton (1545 to 1707) and is arranged chronologically. Part II covers the period from Newton to Lagrange (1707 to 1771) and treats the material according to key themes. Part III is a brief account of the aftermath of the discoveries made in the 1770s. The book attempts throughout to capture the reality of mathematical discovery by inviting the reader to follow in the footsteps of the authors themselves, with as few changes as possible to the original notation and style of presentation.

Encyclopedia of Renaissance Philosophy

Encyclopedia of Renaissance Philosophy
Author: Marco Sgarbi
Publisher: Springer Nature
Total Pages: 3618
Release: 2022-10-27
Genre: Philosophy
ISBN: 3319141694

Gives accurate and reliable summaries of the current state of research. It includes entries on philosophers, problems, terms, historical periods, subjects and the cultural context of Renaissance Philosophy. Furthermore, it covers Latin, Arabic, Jewish, Byzantine and vernacular philosophy, and includes entries on the cross-fertilization of these philosophical traditions. A unique feature of this encyclopedia is that it does not aim to define what Renaissance philosophy is, rather simply to cover the philosophy of the period between 1300 and 1650.

Numerical Analysis and Optimization

Numerical Analysis and Optimization
Author: Mehiddin Al-Baali
Publisher: Springer Nature
Total Pages: 307
Release: 2021-12-01
Genre: Mathematics
ISBN: 3030720403

This book gathers selected, peer-reviewed contributions presented at the Fifth International Conference on Numerical Analysis and Optimization (NAO-V), which was held at Sultan Qaboos University, Oman, on January 6-9, 2020. Each chapter reports on developments in key fields, such as numerical analysis, numerical optimization, numerical linear algebra, numerical differential equations, optimal control, approximation theory, applied mathematics, derivative-free optimization methods, programming models, and challenging applications that frequently arise in statistics, econometrics, finance, physics, medicine, biology, engineering and industry. Many real-world, complex problems can be formulated as optimization tasks, and can be characterized further as large scale, unconstrained, constrained, non-convex, nondifferentiable or discontinuous, and therefore require adequate computational methods, algorithms and software tools. These same tools are often employed by researchers working in current IT hot topics, such as big data, optimization and other complex numerical algorithms in the cloud, devising special techniques for supercomputing systems. This interdisciplinary view permeates the work included in this volume. The NAO conference series is held every three years at Sultan Qaboos University, with the aim of bringing together a group of international experts and presenting novel and advanced applications to facilitate interdisciplinary studies among pure scientific and applied knowledge. It is a venue where prominent scientists gather to share innovative ideas and know-how relating to new scientific methodologies, to promote scientific exchange, to discuss possible future cooperations, and to promote the mobility of local and young researchers.