The Development of Arabic Mathematics: Between Arithmetic and Algebra
The Development of Arabic Mathematics: Between Arithmetic and Algebra

Author: R. Rashed

Publisher: Springer Science & Business Media

Published: 2013-04-18

Total Pages: 392

ISBN-13: 9401732744

DOWNLOAD EBOOK

An understanding of developments in Arabic mathematics between the IXth and XVth century is vital to a full appreciation of the history of classical mathematics. This book draws together more than ten studies to highlight one of the major developments in Arabic mathematical thinking, provoked by the double fecondation between arithmetic and the algebra of al-Khwarizmi, which led to the foundation of diverse chapters of mathematics: polynomial algebra, combinatorial analysis, algebraic geometry, algebraic theory of numbers, diophantine analysis and numerical calculus. Thanks to epistemological analysis, and the discovery of hitherto unknown material, the author has brought these chapters into the light, proposes another periodization for classical mathematics, and questions current ideology in writing its history. Since the publication of the French version of these studies and of this book, its main results have been admitted by historians of Arabic mathematics, and integrated into their recent publications. This book is already a vital reference for anyone seeking to understand history of Arabic mathematics, and its contribution to Latin as well as to later mathematics. The English translation will be of particular value to historians and philosophers of mathematics and of science.

Classical Mathematics from Al-Khwarizmi to Descartes
Classical Mathematics from Al-Khwarizmi to Descartes

Author: Roshdi Rashed

Publisher: Routledge

Published: 2014-08-21

Total Pages: 768

ISBN-13: 1317622391

DOWNLOAD EBOOK

This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat. ‘Early modern,’ mathematics is a term widely used to refer to the mathematics which developed in the West during the sixteenth and seventeenth century. For many historians and philosophers this is the watershed which marks a radical departure from ‘classical mathematics,’ to more modern mathematics; heralding the arrival of algebra, geometrical algebra, and the mathematics of the continuous. In this book, Roshdi Rashed demonstrates that ‘early modern,’ mathematics is actually far more composite than previously assumed, with each branch having different traceable origins which span the millennium. Going back to the beginning of these parts, the aim of this book is to identify the concepts and practices of key figures in their development, thereby presenting a fuller reality of these mathematics. This book will be of interest to students and scholars specialising in Islamic science and mathematics, as well as to those with an interest in the more general history of science and mathematics and the transmission of ideas and culture.

The History of Mathematics
The History of Mathematics

Author: Nicholas Faulkner

Publisher: Encyclopaedia Britannica

Published: 2017-12-15

Total Pages: 289

ISBN-13: 1538300419

DOWNLOAD EBOOK

This intriguing volume introduces readers to the origins of the mathematical principles they study every day. It covers a wide range of disciplines outlined in curriculum standards and serves as an illuminating companion to their current studies. Readers will learn about the brilliant minds behind some of the breakthroughs in mathematics. They will also enjoy the origin stories of the different disciplines in the field we're so familiar with today. The study of math should go beyond numbers, and this book certainly accomplishes that by giving readers insight into how mathematics came to be.

A Brief History of Numbers
A Brief History of Numbers

Author: Leo Corry

Publisher: OUP Oxford

Published: 2015-08-27

Total Pages: 324

ISBN-13: 0191007072

DOWNLOAD EBOOK

The world around us is saturated with numbers. They are a fundamental pillar of our modern society, and accepted and used with hardly a second thought. But how did this state of affairs come to be? In this book, Leo Corry tells the story behind the idea of number from the early days of the Pythagoreans, up until the turn of the twentieth century. He presents an overview of how numbers were handled and conceived in classical Greek mathematics, in the mathematics of Islam, in European mathematics of the middle ages and the Renaissance, during the scientific revolution, all the way through to the mathematics of the 18th to the early 20th century. Focusing on both foundational debates and practical use numbers, and showing how the story of numbers is intimately linked to that of the idea of equation, this book provides a valuable insight to numbers for undergraduate students, teachers, engineers, professional mathematicians, and anyone with an interest in the history of mathematics.

Trilogy Of Numbers And Arithmetic - Book 1: History Of Numbers And Arithmetic: An Information Perspective
Trilogy Of Numbers And Arithmetic - Book 1: History Of Numbers And Arithmetic: An Information Perspective

Author: Mark Burgin

Publisher: World Scientific

Published: 2022-04-22

Total Pages: 370

ISBN-13: 9811236852

DOWNLOAD EBOOK

The book is the first in the trilogy which will bring you to the fascinating world of numbers and operations with them. Numbers provide information about myriads of things. Together with operations, numbers constitute arithmetic forming in basic intellectual instruments of theoretical and practical activity of people and offering powerful tools for representation, acquisition, transmission, processing, storage, and management of information about the world.The history of numbers and arithmetic is the topic of a variety of books and at the same time, it is extensively presented in many books on the history of mathematics. However, all of them, at best, bring the reader to the end of the 19th century without including the developments in these areas in the 20th century and later. Besides, such books consider and describe only the most popular classes of numbers, such as whole numbers or real numbers. At the same time, a diversity of new classes of numbers and arithmetic were introduced in the 20th century.This book looks into the chronicle of numbers and arithmetic from ancient times all the way to 21st century. It also includes the developments in these areas in the 20th century and later. A unique aspect of this book is its information orientation of the exposition of the history of numbers and arithmetic.

How the Arabs Invented Algebra
How the Arabs Invented Algebra

Author: Tika Downey

Publisher: The Rosen Publishing Group, Inc

Published: 2010-01-01

Total Pages: 36

ISBN-13: 9780823988792

DOWNLOAD EBOOK

Examines the history of the concept of variables through a discussion of the origins of algebra in ancient Arab civilization.

The Mathematics of Egypt, Mesopotamia, China, India, and Islam
The Mathematics of Egypt, Mesopotamia, China, India, and Islam

Author: Victor J. Katz

Publisher: Princeton University Press

Published: 2021-08-10

Total Pages: 701

ISBN-13: 0691235392

DOWNLOAD EBOOK

In recent decades it has become obvious that mathematics has always been a worldwide activity. But this is the first book to provide a substantial collection of English translations of key mathematical texts from the five most important ancient and medieval non-Western mathematical cultures, and to put them into full historical and mathematical context. The Mathematics of Egypt, Mesopotamia, China, India, and Islam gives English readers a firsthand understanding and appreciation of these cultures' important contributions to world mathematics. The five section authors—Annette Imhausen (Egypt), Eleanor Robson (Mesopotamia), Joseph Dauben (China), Kim Plofker (India), and J. Lennart Berggren (Islam)—are experts in their fields. Each author has selected key texts and in many cases provided new translations. The authors have also written substantial section introductions that give an overview of each mathematical culture and explanatory notes that put each selection into context. This authoritative commentary allows readers to understand the sometimes unfamiliar mathematics of these civilizations and the purpose and significance of each text. Addressing a critical gap in the mathematics literature in English, this book is an essential resource for anyone with at least an undergraduate degree in mathematics who wants to learn about non-Western mathematical developments and how they helped shape and enrich world mathematics. The book is also an indispensable guide for mathematics teachers who want to use non-Western mathematical ideas in the classroom.

Research in History and Philosophy of Mathematics
Research in History and Philosophy of Mathematics

Author: Maria Zack

Publisher: Birkhäuser

Published: 2016-12-15

Total Pages: 256

ISBN-13: 3319466151

DOWNLOAD EBOOK

This volume contains seventeen papers that were presented at the 2015 Annual Meeting of the Canadian Society for History and Philosophy of Mathematics/La Société Canadienne d’Histoire et de Philosophie des Mathématiques, held in Washington, D.C. In addition to showcasing rigorously reviewed modern scholarship on an interesting variety of general topics in the history and philosophy of mathematics, this meeting also honored the memories of Jacqueline (Jackie) Stedall and Ivor Grattan-Guinness; celebrated the Centennial of the Mathematical Association of America; and considered the importance of mathematical communities in a special session. These themes and many others are explored in these collected papers, which cover subjects such as New evidence that the Latin translation of Euclid’s Elements was based on the Arabic version attributed to al-Ḥajjāj Work done on the arc rampant in the seventeenth century The history of numerical methods for finding roots of nonlinear equations An original play featuring a dialogue between George Boole and Augustus De Morgan that explores the relationship between them Key issues in the digital preservation of mathematical material for future generations A look at the first twenty-five years of The American Mathematical Monthly in the context of the evolving American mathematical community The growth of Math Circles and the unique ways they are being implemented in the United States Written by leading scholars in the field, these papers will be accessible to not only mathematicians and students of the history and philosophy of mathematics, but also anyone with a general interest in mathematics.

The Historiography of Persian Architecture
The Historiography of Persian Architecture

Author: Mohammad Gharipour

Publisher: Routledge

Published: 2015-08-27

Total Pages: 249

ISBN-13: 131742722X

DOWNLOAD EBOOK

Historiography is the study of the methodology of writing history, the development of the discipline of history, and the changing interpretations of historical events in the works of individual historians. Exploring the historiography of Persian art and architecture requires a closer look at a diverse range of sources, including chronicles, historical accounts, travelogues, and material evidence coming from archaeological excavations. The Historiography of Persian Architecture highlights the political, cultural, and intellectual contexts that lie behind the written history of Persian architecture in the twentieth century, presenting a series of investigations on issues related to historiography. This book addresses the challenges, complexities, and contradictions regarding historical and geographical diversity of Persian architecture, including issues lacking in the 20th century historiography of Iran and neighbouring countries. This book not only illustrates different trends in Persian architecture but also clarifies changing notions of research in this field. Aiming to introduce new tools of analysis, the book offers fresh insights into the discipline, supported by historical documents, archaeological data, treatises, and visual materials. It brings together well-established and emerging scholars from a broad range of academic spheres, in order to question and challenge pre-existing historiographical frameworks, particularly through specific case studies. Overall, it provides a valuable contribution to the study of Persian architecture, simultaneously revisiting past literature and advancing new approaches. This book would be of interest to students and scholars of Middle East and Iranian Studies, as well as Architectural History, including Islamic architecture and historiography.

Sherlock Holmes in Babylon and Other Tales of Mathematical History
Sherlock Holmes in Babylon and Other Tales of Mathematical History

Author: Marlow Anderson

Publisher: American Mathematical Society

Published: 2022-04-26

Total Pages: 399

ISBN-13: 1470470039

DOWNLOAD EBOOK

Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included to show how knowledge and views about the topic changed over the years. This book will be enjoyed by anyone interested in mathematics and its history - and, in particular, by mathematics teachers at secondary, college, and university levels.