Al-Kashi's Miftah al-Hisab, Volume III: Algebra

Al-Kashi's Miftah al-Hisab, Volume III: Algebra PDF Author: Nuh Aydin
Publisher: Springer Nature
ISBN: 3030966151
Category : Mathematics
Languages : en
Pages : 279

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Book Description
Jamshīd al-Kāshī’s Miftāḥ al-Ḥisab (Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now. This is the third and final book in a multi-volume set that finally brings al-Kāshī’s groundbreaking textbook to English audiences in its entirety. As soon as it was studied by modern researchers, Miftah changed some false assumptions about the history of certain topics in mathematics. Written as a textbook for students of mathematics, astronomy, accounting, engineering, and architecture, Miftah covers a wide range of topics in arithmetic, geometry, and algebra. By sharing al-Kāshī’s most comprehensive work with a wider audience, this book will help establish a more complete history of mathematics, and extend al-Kāshī’s influence into the 21st century and beyond. The book opens by briefly recounting al-Kāshī’s biography, so as to situate readers in the work’s rich historical context. His impressive status in the kingdom of Ulugh Beg is detailed, as well as his contributions to both mathematics and astronomy. As a master calculator and astronomer, al-Kāshī’s calculations of 2π and sin(10) were by far the most accurate for almost two centuries. His law of cosines is still studied in schools today. This translation contributes to the understanding and appreciation of al-Kāshī’s esteemed place in the scientific world. A side-by-side presentation of the source manuscript—one of the oldest known copies—and the English translation is provided on each page. Detailed footnotes are also provided throughout, which will offer readers an even deeper look at the text’s mathematical and historical basis. Researchers and students of the history of mathematics will find this volume indispensable in filling in a frequently overlooked time period and region. This volume will also provide anybody interested in the history of Islamic culture with an insightful look at one of the mathematical world’s most neglected figures.

Al-Kashi's Miftah al-Hisab, Volume III: Algebra

Al-Kashi's Miftah al-Hisab, Volume III: Algebra PDF Author: Nuh Aydin
Publisher: Birkhäuser
ISBN: 9783030966140
Category : Mathematics
Languages : en
Pages : 0

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Book Description
Jamshīd al-Kāshī’s Miftāḥ al-Ḥisab (Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now. This is the third and final book in a multi-volume set that finally brings al-Kāshī’s groundbreaking textbook to English audiences in its entirety. As soon as it was studied by modern researchers, Miftah changed some false assumptions about the history of certain topics in mathematics. Written as a textbook for students of mathematics, astronomy, accounting, engineering, and architecture, Miftah covers a wide range of topics in arithmetic, geometry, and algebra. By sharing al-Kāshī’s most comprehensive work with a wider audience, this book will help establish a more complete history of mathematics, and extend al-Kāshī’s influence into the 21st century and beyond. The book opens by briefly recounting al-Kāshī’s biography, so as to situate readers in the work’s rich historical context. His impressive status in the kingdom of Ulugh Beg is detailed, as well as his contributions to both mathematics and astronomy. As a master calculator and astronomer, al-Kāshī’s calculations of 2π and sin(10) were by far the most accurate for almost two centuries. His law of cosines is still studied in schools today. This translation contributes to the understanding and appreciation of al-Kāshī’s esteemed place in the scientific world. A side-by-side presentation of the source manuscript—one of the oldest known copies—and the English translation is provided on each page. Detailed footnotes are also provided throughout, which will offer readers an even deeper look at the text’s mathematical and historical basis. Researchers and students of the history of mathematics will find this volume indispensable in filling in a frequently overlooked time period and region. This volume will also provide anybody interested in the history of Islamic culture with an insightful look at one of the mathematical world’s most neglected figures.

Al-Kashi's Miftah al-Hisab, Volume II: Geometry

Al-Kashi's Miftah al-Hisab, Volume II: Geometry PDF Author: Nuh Aydin
Publisher: Springer Nature
ISBN: 3030613305
Category : Mathematics
Languages : en
Pages : 200

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Book Description
Jamshīd al-Kāshī’s Miftāḥ al-Ḥisab (Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now. This is the second book in a multi-volume set that finally brings al-Kāshī’s groundbreaking textbook to English audiences in its entirety. As soon as it was studied by modern researchers, it changed some false assumptions about the history of certain topics in mathematics. Written as a textbook for students of mathematics, astronomy, accounting, engineering, and architecture, Miftah covers a wide range of topics in arithmetic, geometry, and algebra. By sharing al-Kāshī’s most comprehensive work with a wider audience, this book will help establish a more complete history of mathematics, and extend al-Kāshī’s influence into the 21st century and beyond. The book opens by briefly recounting al-Kāshī’s biography, so as to situate readers in the work’s rich historical context. His impressive status in the kingdom of Ulugh Beg is detailed, as well as his contributions to both mathematics and astronomy. As a master calculator and astronomer, al-Kāshī’s calculations of 2π and sin(10) were by far the most accurate for almost two centuries. His law of cosines is still studied in schools today. This translation contributes to the understanding and appreciation of al-Kāshī’s esteemed place in the scientific world. A side-by-side presentation of the source manuscript—one of the oldest known copies—and the English translation is provided on each page. Detailed footnotes are also provided throughout, which will offer readers an even deeper look at the text’s mathematical and historical basis. Researchers and students of the history of mathematics will find this volume indispensable in filling in a frequently overlooked time period and region. This volume will also provide anybody interested in the history of Islamic culture with an insightful look at one of the mathematical world’s most neglected figures.

Encyclopaedia of the History of Science, Technology, and Medicine in Non-Westen Cultures

Encyclopaedia of the History of Science, Technology, and Medicine in Non-Westen Cultures PDF Author: Helaine Selin
Publisher: Springer Science & Business Media
ISBN: 9780792340669
Category : History
Languages : en
Pages : 1172

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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.

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: 0691235392
Category : Mathematics
Languages : en
Pages : 701

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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.

A History of Mathematics

A History of Mathematics PDF Author: Luke Hodgkin
Publisher: OUP Oxford
ISBN: 9780191523830
Category : Mathematics
Languages : en
Pages : 302

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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.

Significant Figures

Significant Figures PDF Author: Ian Stewart
Publisher: Basic Books
ISBN: 0465096131
Category : Mathematics
Languages : en
Pages : 329

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Book Description
A celebrated mathematician traces the history of math through the lives and work of twenty-five pioneering mathematicians In Significant Figures, acclaimed mathematician Ian Stewart explores the work of 25 of history's most important mathematicians, showing how they developed on each other's work and built the mathematics we use today. Through these short biographies, we get acquainted with the history of mathematics from Archimedes to William Thurston, and learn about those too often left out of the cannon, such as Muhammad ibn Musa al-Khwarizmi, the creator of algebra; Ada Lovelace, the world's first computer programmer; and Emmy Noether, whose research on symmetry paved the way for modern physics. Tracing the evolution of mathematics over the course of two millennia, Significant Figures will educate and delight aspiring mathematicians and experts alike.

History of Mathematics: Highways and Byways

History of Mathematics: Highways and Byways PDF Author: Amy Dahan-Dalmedico
Publisher: American Mathematical Soc.
ISBN: 1470457466
Category : Mathematics
Languages : en
Pages : 345

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Book Description
A translation of the original 1986 French edition by Amy Dahan-Dalmedico and Jeanne Peiffer (both from Centre National de la Recherche Scientifique, Paris), this eminently readable book places the birth and development of mathematical activity in historical, cultural, and economic context. The book offers an outstanding account, for instance, of how Arabs preserved Greek mathematics and extended it over an 800-year period, from 400-1200. The large number of illustrations supports the text and contributes to a fine read. - Publisher.

Routledge Revivals: Medieval Science, Technology and Medicine (2006)

Routledge Revivals: Medieval Science, Technology and Medicine (2006) PDF Author: Thomas Glick
Publisher: Taylor & Francis
ISBN: 1351676172
Category : History
Languages : en
Pages : 625

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Book Description
First published in 2005, this encyclopedia demonstrates that the millennium from the fall of the Roman Empire to the Renaissance was a period of great intellectual and practical achievement and innovation. In Europe, the Islamic world, South and East Asia, and the Americas, individuals built on earlier achievements, introduced sometimes radical refinements and laid the foundations for modern development. Medieval Science, Technology, and Medicine details the whole scope of scientific knowledge in the medieval period in more than 300 A to Z entries. This comprehensive resource discusses the research, application of knowledge, cultural and technology exchanges, experimentation, and achievements in the many disciplines related to science and technology. It also looks at the relationship between medieval science and the traditions it supplanted. Written by a select group of international scholars, this reference work will be of great use to scholars, students, and general readers researching topics in many fields, including medieval studies, world history, history of science, history of technology, history of medicine, and cultural studies.

Medieval Science, Technology, and Medicine

Medieval Science, Technology, and Medicine PDF Author: Thomas F. Glick
Publisher: Routledge
ISBN: 1135459398
Category : History
Languages : en
Pages : 632

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Book Description
Medieval Science, Technology, and Medicine details the whole scope of scientific knowledge in the medieval period in more than 300 A to Z entries. This resource discusses the research, application of knowledge, cultural and technology exchanges, experimentation, and achievements in the many disciplines related to science and technology. Coverage includes inventions, discoveries, concepts, places and fields of study, regions, and significant contributors to various fields of science. There are also entries on South-Central and East Asian science. This reference work provides an examination of medieval scientific tradition as well as an appreciation for the relationship between medieval science and the traditions it supplanted and those that replaced it. For a full list of entries, contributors, and more, visit the Routledge Encyclopedias of the Middle Ages website.