Numbers and Mathematical Concepts in Islam

Numbers and Mathematical Concepts in Islam PDF Author:
Publisher: Maths Concepts in Islam
ISBN:
Category :
Languages : en
Pages : 424

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Book Description

Numbers and Mathematical Concepts in Islam

Numbers and Mathematical Concepts in Islam PDF Author:
Publisher: Maths Concepts in Islam
ISBN:
Category :
Languages : en
Pages : 424

Get Book Here

Book Description


الكتاب المختصر فى حساب الجبر والمقابلة

الكتاب المختصر فى حساب الجبر والمقابلة PDF Author: Muḥammad ibn Mūsá Khuwārizmī
Publisher:
ISBN:
Category : Algebra
Languages : ar
Pages : 360

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Book Description


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

The Mathematics of Egypt, Mesopotamia, China, India, and Islam PDF Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 9780691114859
Category : Mathematics
Languages : en
Pages : 712

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Book Description
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.

The House of Wisdom

The House of Wisdom PDF Author: Jim Al-Khalili
Publisher: Penguin
ISBN: 1101476230
Category : History
Languages : en
Pages : 338

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Book Description
A myth-shattering view of the Islamic world's myriad scientific innovations and the role they played in sparking the European Renaissance. Many of the innovations that we think of as hallmarks of Western science had their roots in the Arab world of the middle ages, a period when much of Western Christendom lay in intellectual darkness. Jim al- Khalili, a leading British-Iraqi physicist, resurrects this lost chapter of history, and given current East-West tensions, his book could not be timelier. With transporting detail, al-Khalili places readers in the hothouses of the Arabic Enlightenment, shows how they led to Europe's cultural awakening, and poses the question: Why did the Islamic world enter its own dark age after such a dazzling flowering?

Fibonacci’s Liber Abaci

Fibonacci’s Liber Abaci PDF Author: Laurence Sigler
Publisher: Springer Science & Business Media
ISBN: 1461300797
Category : Mathematics
Languages : en
Pages : 736

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Book Description
First published in 1202, Fibonacci’s Liber Abaci was one of the most important books on mathematics in the Middle Ages, introducing Arabic numerals and methods throughout Europe. This is the first translation into a modern European language, of interest not only to historians of science but also to all mathematicians and mathematics teachers interested in the origins of their methods.

Principles of Hindu Reckoning

Principles of Hindu Reckoning PDF Author: Kūshyār ibn Labbān
Publisher:
ISBN:
Category : Arithmetic
Languages : en
Pages : 136

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Book Description


Episodes in the Mathematics of Medieval Islam

Episodes in the Mathematics of Medieval Islam PDF Author: J.L. Berggren
Publisher: Springer
ISBN: 1493937804
Category : Mathematics
Languages : en
Pages : 266

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Book Description
This book presents an account of selected topics from key mathematical works of medieval Islam, based on the Arabic texts themselves. Many of these works had a great influence on mathematics in Western Europe. Topics covered in the first edition include arithmetic, algebra, geometry, trigonometry, and numerical approximation; this second edition adds number theory and combinatorics. Additionally, the author has included selections from the western regions of medieval Islam—both North Africa and Spain. The author puts the works into their historical context and includes numerous examples of how mathematics interacted with Islamic society.

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

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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 Arabic Mathematics: Between Arithmetic and Algebra

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

Making up Numbers: A History of Invention in Mathematics

Making up Numbers: A History of Invention in Mathematics PDF Author: Ekkehard Kopp
Publisher: Open Book Publishers
ISBN: 1800640978
Category : Mathematics
Languages : en
Pages : 282

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Book Description
Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.