The Development of Mathematics in Medieval Europe

The Development of Mathematics in Medieval Europe PDF Author: Menso Folkerts
Publisher: Routledge
ISBN:
Category : History
Languages : en
Pages : 370

Get Book Here

Book Description
This volume complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics. It deals with the development of mathematics in Europe from the 12th century to about 1500.

The Development of Mathematics in Medieval Europe

The Development of Mathematics in Medieval Europe PDF Author: Menso Folkerts
Publisher: Routledge
ISBN:
Category : History
Languages : en
Pages : 370

Get Book Here

Book Description
This volume complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics. It deals with the development of mathematics in Europe from the 12th century to about 1500.

A History of Mathematics

A History of Mathematics PDF Author: Florian Cajori
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 472

Get Book Here

Book Description


Sourcebook in the Mathematics of Medieval Europe and North Africa

Sourcebook in the Mathematics of Medieval Europe and North Africa PDF Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 0691156859
Category : Mathematics
Languages : en
Pages : 592

Get Book Here

Book Description
Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.

Essays on Early Medieval Mathematics

Essays on Early Medieval Mathematics PDF Author: Menso Folkerts
Publisher: Taylor & Francis
ISBN: 1000941361
Category : History
Languages : en
Pages : 384

Get Book Here

Book Description
This book deals with the mathematics of the medieval West between ca. 500 and 1100, the period before the translations from Arabic and Greek had their impact. Four of the studies appear for the first time in English. Among the topics treated are: the Roman surveyors (agrimensores); recreational mathematics in the period of Bede and Alcuin; geometrical texts compiled in Corbie and Lorraine from Latin sources from late antiquity; the abacus at the time of Gerbert (pope Sylvester II.); and a board-game invented in the first half of the 11th century (the 'Rithmimachia') to help people to learn mathematics. Included in the volume are critical editions of several texts, e.g. that of Franco of Liège on squaring the circle, Bede and Alcuin on recreational mathematics, and part of Pseudo-Boethius' Geometry I. The book opens with a survey of mathematics in the Middle Ages, and ends with a history of Rithmimachia up to the 17th century, when the game fell into disuse.

The Development of Mathematics in Medieval Europe

The Development of Mathematics in Medieval Europe PDF Author: Menso Folkerts
Publisher: Taylor & Francis
ISBN: 1040236693
Category : History
Languages : en
Pages : 355

Get Book Here

Book Description
The Development of Mathematics in Medieval Europe complements the previous collection of articles by Menso Folkerts, Essays on Early Medieval Mathematics, and deals with the development of mathematics in Europe from the 12th century to about 1500. In the 12th century European learning was greatly transformed by translations from Arabic into Latin. Such translations in the field of mathematics and their influence are here described and analysed, notably al-Khwarizmi's "Arithmetic" -- through which Europe became acquainted with the Hindu-Arabic numerals -- and Euclid's "Elements". Five articles are dedicated to Johannes Regiomontanus, perhaps the most original mathematician of the 15th century, and to his discoveries in trigonometry, algebra and other fields. The knowledge and application of Euclid's "Elements" in 13th- and 15th-century Italy are discussed in three studies, while the last article treats the development of algebra in South Germany around 1500, where much of the modern symbolism used in algebra was developed.

Sourcebook in the Mathematics of Medieval Europe and North Africa

Sourcebook in the Mathematics of Medieval Europe and North Africa PDF Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 1400883202
Category : Mathematics
Languages : en
Pages : 593

Get Book Here

Book Description
Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.

The History of Mathematical Tables

The History of Mathematical Tables PDF Author: Martin Campbell-Kelly
Publisher: OUP Oxford
ISBN: 019154521X
Category : Mathematics
Languages : en
Pages : 372

Get Book Here

Book Description
The oldest known mathematical table was found in the ancient Sumerian city of Shuruppag in southern Iraq. Since then, tables have been an important feature of mathematical activity; table making and printed tabular matter are important precursors to modern computing and information processing. This book contains a series of articles summarising the technical, institutional and intellectual history of mathematical tables from earliest times until the late twentieth century. It covers mathematical tables (the most important computing aid for several hundred years until the 1960s), data tables (eg. Census tables), professional tables (eg. insurance tables), and spreadsheets - the most recent tabular innovation. The book is presented in a scholarly yet accessible way, making appropriate use of text boxes and illustrations. Each chapter has a frontispiece featuring a table along with a small illustration of the source where the table was first displayed. Most chapters have sidebars telling a short "story" or history relating to the chapter. The aim of this edited volume is to capture the history of tables through eleven chapters written by subject specialists. The contributors describe the various information processing techniques and artefacts whose unifying concept is "the mathematical table".

Music and the Stars

Music and the Stars PDF Author: Mary Kelly
Publisher:
ISBN: 9781846823923
Category : Ireland
Languages : en
Pages : 0

Get Book Here

Book Description
International experts introduce and explore the history of mathematics in medieval Ireland - its reception, philosophy and the contribution made by Irish scholars to the development of science in Ireland and Western Europe.--

Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition

Math through the Ages: A Gentle History for Teachers and Others Expanded Second Edition PDF Author: William P. Berlinghoff
Publisher: American Mathematical Soc.
ISBN: 147046456X
Category : Education
Languages : en
Pages : 331

Get Book Here

Book Description
Where did math come from? Who thought up all those algebra symbols, and why? What is the story behind π π? … negative numbers? … the metric system? … quadratic equations? … sine and cosine? … logs? The 30 independent historical sketches in Math through the Ages answer these questions and many others in an informal, easygoing style that is accessible to teachers, students, and anyone who is curious about the history of mathematical ideas. Each sketch includes Questions and Projects to help you learn more about its topic and to see how the main ideas fit into the bigger picture of history. The 30 short stories are preceded by a 58-page bird's-eye overview of the entire panorama of mathematical history, a whirlwind tour of the most important people, events, and trends that shaped the mathematics we know today. “What to Read Next” and reading suggestions after each sketch provide starting points for readers who want to learn more. This book is ideal for a broad spectrum of audiences, including students in history of mathematics courses at the late high school or early college level, pre-service and in-service teachers, and anyone who just wants to know a little more about the origins of mathematics.

The Development of Mathematics Throughout the Centuries

The Development of Mathematics Throughout the Centuries PDF Author: Brian Evans
Publisher: John Wiley & Sons
ISBN: 1118853970
Category : Mathematics
Languages : en
Pages : 197

Get Book Here

Book Description
Throughout the book, readers take a journey throughout time and observe how people around the world have understood these patterns of quantity, structure, and dimension around them. The Development of Mathematics Throughout the Centuries: A Brief History in a Cultural Contex provides a brief overview of the history of mathematics in a very straightforward and understandable manner and also addresses major findings that influenced the development of mathematics as a coherent discipline. This book: Highlights the contributions made by various world cultures including African, Egyptian, Babylonian, Chinese, Indian, Islamic, and pre-Columbian American mathematics Features an approach that is not too rigorous and is ideal for a one-semester course of the history of mathematics. Includes a Resources and Recommended Reading section for further exploration and has been extensively classroom-tested