Artis Analyticae Praxis

Author : Muriel Seltman,Robert Goulding
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 52,8 Mb
Release : 2007-05-09
Category : Mathematics
ISBN : 9780387495125

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Thomas Harriot's Artis Analyticae Praxis by Muriel Seltman,Robert Goulding Pdf

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.

Author : Robert Fox
Publisher : Taylor & Francis
Page : 330 pages
File Size : 41,7 Mb
Release : 2017-07-05
Category : History
ISBN : 9781351879231

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Thomas Harriot by Robert Fox Pdf

This volume assembles ten studies of the life and work of Thomas Harriot (1560-1621). These are based on lectures that have been given annually at Oriel College, Oxford since 1990, by such authorities as Hugh Trevor Roper, David Quinn and John D. North. An astronomer and mathematician whose activities embraced not only science but also philosophical debate and an engagement in the early exploration of America, Harriot occupied a prominent place in intellectual and public life. He was well read in the contemporary literature of science, and his writings on algebra, his correspondence, and his early observations with the telescope, undertaken at the same time as Galileo’s, brought him to the attention of leading men of science both in Britain and abroad. Recent scholarship has enhanced historians’ appreciation of Harriot’s achievements and of the scientific context and social milieu in which he worked, a milieu distinguished by his friendship with Walter Ralegh and the Ninth Earl of Northumberland (the ’Wizard Earl’ whose association with the Gunpowder Plot led to many years of imprisonment in the Tower). The contributions to Thomas Harriot. An Elizabethan man of science shed new light on all the main aspects of Harriot’s life and stand as an important contribution to the re-evaluation of one of the most gifted and intriguing figures in early modern British science.

Author : Jacob Klein
Publisher : Courier Corporation
Page : 246 pages
File Size : 43,9 Mb
Release : 2013-04-22
Category : Mathematics
ISBN : 9780486319810

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Greek Mathematical Thought and the Origin of Algebra by Jacob Klein Pdf

Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.

Author : Robert Fox
Publisher : Taylor & Francis
Page : 185 pages
File Size : 50,8 Mb
Release : 2022-12-29
Category : History
ISBN : 9781000811148

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Thomas Harriot: Science and Discovery in the English Renaissance by Robert Fox Pdf

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.

Author : K. Neal
Publisher : Springer Science & Business Media
Page : 182 pages
File Size : 41,5 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9789401700771

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From Discrete to Continuous by K. Neal Pdf

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.

Author : Carl B. Boyer
Publisher : Courier Corporation
Page : 306 pages
File Size : 49,9 Mb
Release : 2012-06-28
Category : Mathematics
ISBN : 9780486154510

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History of Analytic Geometry by Carl B. Boyer Pdf

This study presents the concepts and contributions from before the Alexandrian Age through to Fermat and Descartes, and on through Newton and Euler to the "Golden Age," from 1789 to 1850. 1956 edition. Analytical bibliography. Index.

Author : John Newsome Crossley
Publisher : World Scientific
Page : 238 pages
File Size : 49,6 Mb
Release : 1987-11-01
Category : Mathematics
ISBN : 9789814507745

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The Emergence Of Number by John Newsome Crossley Pdf

This book presents detailed studies of the development of three kinds of number. In the first part the development of the natural numbers from Stone-Age times right up to the present day is examined not only from the point of view of pure history but also taking into account archaeological, anthropological and linguistic evidence. The dramatic change caused by the introduction of logical theories of number in the 19th century is also treated and this part ends with a non-technical account of the very latest developments in the area of Gödel's theorem. The second part is concerned with the development of complex numbers and tries to answer the question as to why complex numbers were not introduced before the 16th century and then, by looking at the original materials, shows how they were introduced as a pragmatic device which was only subsequently shown to be theoretically justifiable. The third part concerns the real numbers and examines the distinction that the Greeks made between number and magnitude. It then traces the gradual development of a theory of real numbers up to the precise formulations in the nineteeth century. The importance of the Greek distinction between the number line and the geometric line is brought into sharp focus.This is an new edition of the book which first appeared privately published in 1980 and is now out of print. Substantial revisions have been made throughout the text, incorporating new material which has recently come to light and correcting a few relatively minor errors. The third part on real numbers has been very extensively revised and indeed the last chapter has been almost completely rewritten. Many revisions are the results of comments from earlier readers of the book.

Author : Florian Cajori
Publisher : Cosimo, Inc.
Page : 473 pages
File Size : 52,5 Mb
Release : 2007-06-01
Category : Mathematics
ISBN : 9781602066847

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A History of Mathematical Notations - by Florian Cajori Pdf

Described even today as "unsurpassed," this history of mathematical notation stretching back to the Babylonians and Egyptians is one of the most comprehensive written. In two impressive volumes-first published in 1928-9-distinguished mathematician Florian Cajori shows the origin, evolution, and dissemination of each symbol and the competition it faced in its rise to popularity or fall into obscurity. Illustrated with more than a hundred diagrams and figures, this "mirror of past and present conditions in mathematics" will give students and historians a whole new appreciation for "1 + 1 = 2." Swiss-American author, educator, and mathematician FLORIAN CAJORI (1859-1930) was one of the world's most distinguished mathematical historians. Appointed to a specially created chair in the history of mathematics at the University of California, Berkeley, he also wrote An Introduction to the Theory of Equations, A History of Elementary Mathematics, and The Chequered Career of Ferdinand Rudolph Hassler.

Author : Jacqueline Stedall
Publisher : Oxford University Press
Page : 676 pages
File Size : 54,5 Mb
Release : 2008-09-04
Category : Mathematics
ISBN : 9780199226900

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Mathematics Emerging by Jacqueline Stedall Pdf

This book examines the development of mathematics from the late 16th Century to the end of the 19th Century. Each chapter will focus on a particular topic and outline its history with the provision of facsimiles of primary source material along with explanatory notes and modern interpretations.

Author : Florian Cajori
Publisher : Cosimo, Inc.
Page : 854 pages
File Size : 49,9 Mb
Release : 2011-12-01
Category : Science
ISBN : 9781616405717

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A History of Mathematical Notations (Two Volume in One) by Florian Cajori Pdf

Described even today as "unsurpassed," this history of mathematical notation stretching back to the Babylonians and Egyptians is one of the most comprehensive written. In two impressive volumes, first published in 1928-9 and reproduced here under one cover, distinguished mathematician Florian Cajori shows the origin, evolution, and dissemination of each symbol and the competition it faced in its rise to popularity or fall into obscurity. Illustrated with more than a hundred diagrams and figures, this "mirror of past and present conditions in mathematics" will give students and historians a whole new appreciation for "1 + 1 = 2." Swiss-American author, educator, and mathematician FLORIAN CAJORI (1859-1930) was one of the world's most distinguished mathematical historians. Appointed to a specially created chair in the history of mathematics at the University of California, Berkeley, he also wrote An Introduction to the Theory of Equations, A History of Mathematical Notations, and The Chequered Career of Ferdinand Rudolph Hassler.

Author : Joseph Jarrett
Publisher : Springer Nature
Page : 248 pages
File Size : 41,6 Mb
Release : 2019-11-30
Category : Literary Criticism
ISBN : 9783030265663

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Mathematics and Late Elizabethan Drama by Joseph Jarrett Pdf

This book considers the influence that sixteenth-century and early seventeenth-century mathematical thinking exerted on the writing and production of popular drama between about 1587 and 1603. It concentrates upon six plays by five early modern dramatists: Tamburlaine, Part 1 (1587) and Tamburlaine, Part 2 (1587) by Christopher Marlowe; Friar Bacon and Friar Bungay (1589) by Robert Greene; Old Fortunatus (1599) by Thomas Dekker; Hamlet (1600) by William Shakespeare; and The Tragedy of Hoffman (1603) by Henry Chettle. Each chapter analyses how the terms, concepts, and implications of contemporary mathematics impacted upon these plays’ vocabularies, forms, and aesthetic and dramaturgical effects and affects.

Author : Florian Cajori
Publisher : Litres
Page : 151 pages
File Size : 40,7 Mb
Release : 2021-12-02
Category : Fiction
ISBN : 9785040753611

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William Oughtred by Florian Cajori Pdf

Author : Justin Begley,Benjamin Goldberg
Publisher : Springer Nature
Page : 400 pages
File Size : 48,9 Mb
Release : 2023-01-01
Category : Science
ISBN : 9783030929275

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The Medical World of Margaret Cavendish by Justin Begley,Benjamin Goldberg Pdf

This book is the first transcription and extensive commentary on a fascinating but almost entirely overlooked manuscript compilation of medical recipes and letters, which is held in the University of Nottingham. Collected by the Marquess and Marchioness of Newcastle, William and Margaret Cavendish, during the 1640s and 1650s, this manuscript features letters of advice, recipes, and sundry philosophical and medical reflections by some of the most formidable and influential physicians, philosophers, and courtly scholars of the early seventeenth century. These include “Europe’s physician” Theodore de Mayerne, the adventurer and courtier Kenelm Digby, and the natural philosopher, poet, and playwright Margaret Cavendish. While the transcription and accompanying annotations will allow a diverse array of readers to appreciate the manuscript for the first time, the introduction situates the Cavendishes’ recipe collecting habits, medical preoccupations, natural philosophical views, and politics within their social, cultural, and philosophical contexts, and draws out some of the most significant implications of this important document.

Author : Amy Shell-Gellasch,John Thoo
Publisher : JHU Press
Page : 553 pages
File Size : 54,5 Mb
Release : 2015-10-15
Category : Mathematics
ISBN : 9781421417295

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Algebra in Context by Amy Shell-Gellasch,John Thoo Pdf

An engaging new approach to teaching algebra that takes students on a historical journey from its roots to modern times. This book’s unique approach to the teaching of mathematics lies in its use of history to provide a framework for understanding algebra and related fields. With Algebra in Context, students will soon discover why mathematics is such a crucial part not only of civilization but also of everyday life. Even those who have avoided mathematics for years will find the historical stories both inviting and gripping. The book’s lessons begin with the creation and spread of number systems, from the mathematical development of early civilizations in Babylonia, Greece, China, Rome, Egypt, and Central America to the advancement of mathematics over time and the roles of famous figures such as Descartes and Leonardo of Pisa (Fibonacci). Before long, it becomes clear that the simple origins of algebra evolved into modern problem solving. Along the way, the language of mathematics becomes familiar, and students are gradually introduced to more challenging problems. Paced perfectly, Amy Shell-Gellasch and J. B. Thoo’s chapters ease students from topic to topic until they reach the twenty-first century. By the end of Algebra in Context, students using this textbook will be comfortable with most algebra concepts, including • Different number bases • Algebraic notation • Methods of arithmetic calculation • Real numbers • Complex numbers • Divisors • Prime factorization • Variation • Factoring • Solving linear equations • False position • Solving quadratic equations • Solving cubic equations • nth roots • Set theory • One-to-one correspondence • Infinite sets • Figurate numbers • Logarithms • Exponential growth • Interest calculations

Author : Mariano Giaquinta,Giuseppe Modica
Publisher : Springer Science & Business Media
Page : 399 pages
File Size : 55,8 Mb
Release : 2012-08-31
Category : Mathematics
ISBN : 9780817644147

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Mathematical Analysis by Mariano Giaquinta,Giuseppe Modica Pdf

* Embraces a broad range of topics in analysis requiring only a sound knowledge of calculus and the functions of one variable. * Filled with beautiful illustrations, examples, exercises at the end of each chapter, and a comprehensive index.