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Author: R. Rashed
Publisher: Springer Science & Business Media
ISBN: 9401732744
Category : History
Languages : en
Pages : 392
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Book Description
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.
Author: R. Rashed
Publisher: Springer Science & Business Media
ISBN: 9401732744
Category : History
Languages : en
Pages : 392
Get Book Here
Book Description
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.
Author: Roshdi Rashed
Publisher:
ISBN:
Category :
Languages : en
Pages : 384
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Book Description
Author: Amy Dahan-Dalmédico
Publisher: MAA
ISBN: 0883855623
Category : Mathematics
Languages : en
Pages : 345
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Book Description
This is a novel, short, and eminently readable history of mathematics. Many histories provide a chronological history of the entire subject, which can sometimes make it difficult to follow the development of a particular branch over time. Dahan-Delmm_dico and Pfeiffer succeed splendidly in tracing each branch from its beginnings forward. They also give an outstanding account of how the Arabs not only preserved Greek mathematics, but extended it in the 800 year period from 400-1200. The large number of informative illustrations support the text and contribute to what is a great read.
Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 0691204071
Category : Mathematics
Languages : en
Pages : 502
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Book Description
What is algebra? For some, it is an abstract language of x's and y’s. For mathematics majors and professional mathematicians, it is a world of axiomatically defined constructs like groups, rings, and fields. Taming the Unknown considers how these two seemingly different types of algebra evolved and how they relate. Victor Katz and Karen Parshall explore the history of algebra, from its roots in the ancient civilizations of Egypt, Mesopotamia, Greece, China, and India, through its development in the medieval Islamic world and medieval and early modern Europe, to its modern form in the early twentieth century. Defining algebra originally as a collection of techniques for determining unknowns, the authors trace the development of these techniques from geometric beginnings in ancient Egypt and Mesopotamia and classical Greece. They show how similar problems were tackled in Alexandrian Greece, in China, and in India, then look at how medieval Islamic scholars shifted to an algorithmic stage, which was further developed by medieval and early modern European mathematicians. With the introduction of a flexible and operative symbolism in the sixteenth and seventeenth centuries, algebra entered into a dynamic period characterized by the analytic geometry that could evaluate curves represented by equations in two variables, thereby solving problems in the physics of motion. This new symbolism freed mathematicians to study equations of degrees higher than two and three, ultimately leading to the present abstract era. Taming the Unknown follows algebra’s remarkable growth through different epochs around the globe.
Author: Luke Hodgkin
Publisher: OUP Oxford
ISBN: 0191664367
Category : Mathematics
Languages : en
Pages : 296
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Book Description
A History of Mathematics: From Mesopotamia to Modernity covers the evolution of mathematics through time and across the major Eastern and Western civilizations. It begins in Babylon, then describes the trials and tribulations of the Greek mathematicians. The important, and often neglected, influence of both Chinese and Islamic mathematics is covered in detail, placing the description of early Western mathematics in a global context. The book concludes with modern mathematics, covering recent developments such as the advent of the computer, chaos theory, topology, mathematical physics, and the solution of Fermat's Last Theorem. Containing more than 100 illustrations and figures, this text, aimed at advanced undergraduates and postgraduates, addresses the methods and challenges associated with studying the history of mathematics. The reader is introduced to the leading figures in the history of mathematics (including Archimedes, Ptolemy, Qin Jiushao, al-Kashi, al-Khwarizmi, Galileo, Newton, Leibniz, Helmholtz, Hilbert, Alan Turing, and Andrew Wiles) and their fields. An extensive bibliography with cross-references to key texts will provide invaluable resource to students and exercises (with solutions) will stretch the more advanced reader.
Author: Helaine Selin
Publisher: Springer Science & Business Media
ISBN: 9401714169
Category : History
Languages : en
Pages : 1140
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Book Description
The Encyclopaedia fills a gap in both the history of science and in cultural stud ies. Reference works on other cultures tend either to omit science completely or pay little attention to it, and those on the history of science almost always start with the Greeks, with perhaps a mention of the Islamic world as a trans lator of Greek scientific works. The purpose of the Encyclopaedia is to bring together knowledge of many disparate fields in one place and to legitimize the study of other cultures' science. Our aim is not to claim the superiority of other cultures, but to engage in a mutual exchange of ideas. The Western aca demic divisions of science, technology, and medicine have been united in the Encyclopaedia because in ancient cultures these disciplines were connected. This work contributes to redressing the balance in the number of reference works devoted to the study of Western science, and encourages awareness of cultural diversity. The Encyclopaedia is the first compilation of this sort, and it is testimony both to the earlier Eurocentric view of academia as well as to the widened vision of today. There is nothing that crosses disciplinary and geographic boundaries, dealing with both scientific and philosophical issues, to the extent that this work does. xi PERSONAL NOTE FROM THE EDITOR Many years ago I taught African history at a secondary school in Central Africa.
Author: John Shannon Hendrix
Publisher: Routledge
ISBN: 1317066405
Category : Art
Languages : en
Pages : 258
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Book Description
How are processes of vision, perception, and sensation conceived in the Renaissance? How are those conceptions made manifest in the arts? The essays in this volume address these and similar questions to establish important theoretical and philosophical bases for artistic production in the Renaissance and beyond. The essays also attend to the views of historically significant writers from the ancient classical period to the eighteenth century, including Plato, Aristotle, Plotinus, St Augustine, Ibn Sina (Avicenna), Ibn al-Haytham (Alhazen), Ibn Sahl, Marsilio Ficino, Nicholas of Cusa, Leon Battista Alberti, Gian Paolo Lomazzo, Gregorio Comanini, John Davies, Rene Descartes, Samuel van Hoogstraten, and George Berkeley. Contributors carefully scrutinize and illustrate the effect of changing and evolving ideas of intellectual and physical vision on artistic practice in Florence, Rome, Venice, England, Austria, and the Netherlands. The artists whose work and practices are discussed include Fra Angelico, Donatello, Leonardo da Vinci, Filippino Lippi, Giovanni Bellini, Raphael, Parmigianino, Titian, Bronzino, Johannes Gumpp and Rembrandt van Rijn. Taken together, the essays provide the reader with a fresh perspective on the intellectual confluence between art, science, philosophy, and literature across Renaissance Europe.
Author: Tucker McElroy
Publisher: Infobase Publishing
ISBN: 1438109210
Category : Mathematicians
Languages : en
Pages : 321
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Book Description
Profiles more than 150 mathematicians from around the world who made important contributions to their field, including Rene Descartes, Emily Noether and Bernhard Riemann.
Author: Mojtaba Mojtahedi
Publisher: Springer Nature
ISBN: 3030536548
Category : Philosophy
Languages : en
Pages : 493
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Book Description
This volume is a collection of essays in honour of Professor Mohammad Ardeshir. It examines topics which, in one way or another, are connected to the various aspects of his multidisciplinary research interests. Based on this criterion, the book is divided into three general categories. The first category includes papers on non-classical logics, including intuitionistic logic, constructive logic, basic logic, and substructural logic. The second category is made up of papers discussing issues in the contemporary philosophy of mathematics and logic. The third category contains papers on Avicenna’s logic and philosophy. Mohammad Ardeshir is a full professor of mathematical logic at the Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran, where he has taught generations of students for around a quarter century. Mohammad Ardeshir is known in the first place for his prominent works in basic logic and constructive mathematics. His areas of interest are however much broader and include topics in intuitionistic philosophy of mathematics and Arabic philosophy of logic and mathematics. In addition to numerous research articles in leading international journals, Ardeshir is the author of a highly praised Persian textbook in mathematical logic. Partly through his writings and translations, the school of mathematical intuitionism was introduced to the Iranian academic community.
Author: Jonathan Lyons
Publisher: Bloomsbury Publishing USA
ISBN: 1608191907
Category : History
Languages : en
Pages : 261
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Book Description
For centuries following the fall of Rome, western Europe was a benighted backwater, a world of subsistence farming, minimal literacy, and violent conflict. Meanwhile Arab culture was thriving, dazzling those Europeans fortunate enough to catch even a glimpse of the scientific advances coming from Baghdad, Antioch, or the cities of Persia, Central Asia, and Muslim Spain. T here, philosophers, mathematicians, and astronomers were steadily advancing the frontiers of knowledge and revitalizing the works of Plato and Aristotle. I n the royal library of Baghdad, known as the House of Wisdom, an army of scholars worked at the behest of the Abbasid caliphs. At a time when the best book collections in Europe held several dozen volumes, the House of Wisdom boasted as many as four hundred thousand. Even while their countrymen waged bloody Crusades against Muslims, a handful of intrepid Christian scholars, thirsty for knowledge, traveled to Arab lands and returned with priceless jewels of science, medicine, and philosophy that laid the foundation for the Renaissance. I n this brilliant, evocative book, Lyons shows just how much "Western" culture owes to the glories of medieval Arab civilization, and reveals the untold story of how Europe drank from the well of Muslim learning.
