Author: Eleanor Robson
Publisher: Princeton University Press
ISBN: 0691201404
Category : Mathematics
Languages : en
Pages : 419
Book Description
This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned. Eleanor Robson offers a history like no other, examining ancient mathematics within its broader social, political, economic, and religious contexts, and showing that mathematics was not just an abstract discipline for elites but a key component in ordering society and understanding the world. The region of modern-day Iraq is uniquely rich in evidence for ancient mathematics because its prehistoric inhabitants wrote on clay tablets, many hundreds of thousands of which have been archaeologically excavated, deciphered, and translated. Drawing from these and a wealth of other textual and archaeological evidence, Robson gives an extraordinarily detailed picture of how mathematical ideas and practices were conceived, used, and taught during this period. She challenges the prevailing view that they were merely the simplistic precursors of classical Greek mathematics, and explains how the prevailing view came to be. Robson reveals the true sophistication and beauty of ancient Middle Eastern mathematics as it evolved over three thousand years, from the earliest beginnings of recorded accounting to complex mathematical astronomy. Every chapter provides detailed information on sources, and the book includes an appendix on all mathematical cuneiform tablets published before 2007.
Mathematics in Ancient Iraq
Author: Eleanor Robson
Publisher: Princeton University Press
ISBN: 0691201404
Category : Mathematics
Languages : en
Pages : 419
Book Description
This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned. Eleanor Robson offers a history like no other, examining ancient mathematics within its broader social, political, economic, and religious contexts, and showing that mathematics was not just an abstract discipline for elites but a key component in ordering society and understanding the world. The region of modern-day Iraq is uniquely rich in evidence for ancient mathematics because its prehistoric inhabitants wrote on clay tablets, many hundreds of thousands of which have been archaeologically excavated, deciphered, and translated. Drawing from these and a wealth of other textual and archaeological evidence, Robson gives an extraordinarily detailed picture of how mathematical ideas and practices were conceived, used, and taught during this period. She challenges the prevailing view that they were merely the simplistic precursors of classical Greek mathematics, and explains how the prevailing view came to be. Robson reveals the true sophistication and beauty of ancient Middle Eastern mathematics as it evolved over three thousand years, from the earliest beginnings of recorded accounting to complex mathematical astronomy. Every chapter provides detailed information on sources, and the book includes an appendix on all mathematical cuneiform tablets published before 2007.
Publisher: Princeton University Press
ISBN: 0691201404
Category : Mathematics
Languages : en
Pages : 419
Book Description
This monumental book traces the origins and development of mathematics in the ancient Middle East, from its earliest beginnings in the fourth millennium BCE to the end of indigenous intellectual culture in the second century BCE when cuneiform writing was gradually abandoned. Eleanor Robson offers a history like no other, examining ancient mathematics within its broader social, political, economic, and religious contexts, and showing that mathematics was not just an abstract discipline for elites but a key component in ordering society and understanding the world. The region of modern-day Iraq is uniquely rich in evidence for ancient mathematics because its prehistoric inhabitants wrote on clay tablets, many hundreds of thousands of which have been archaeologically excavated, deciphered, and translated. Drawing from these and a wealth of other textual and archaeological evidence, Robson gives an extraordinarily detailed picture of how mathematical ideas and practices were conceived, used, and taught during this period. She challenges the prevailing view that they were merely the simplistic precursors of classical Greek mathematics, and explains how the prevailing view came to be. Robson reveals the true sophistication and beauty of ancient Middle Eastern mathematics as it evolved over three thousand years, from the earliest beginnings of recorded accounting to complex mathematical astronomy. Every chapter provides detailed information on sources, and the book includes an appendix on all mathematical cuneiform tablets published before 2007.
Civilizations of Ancient Iraq
Author: Benjamin R. Foster
Publisher: Princeton University Press
ISBN: 0691149976
Category : History
Languages : en
Pages : 312
Book Description
In Civilizations of Ancient Iraq, Benjamin and Karen Foster tell the fascinating story of ancient Mesopotamia from the earliest settlements ten thousand years ago to the Arab conquest in the seventh century. Accessible and concise, this is the most up-to-date and authoritative book on the subject. With illustrations of important works of art and architecture in every chapter, the narrative traces the rise and fall of successive civilizations and peoples in Iraq over the course of millennia--from the Sumerians, Babylonians, and Assyrians to the Persians, Seleucids, Parthians, and Sassanians. Ancient Iraq was home to remarkable achievements. One of the birthplaces of civilization, it saw the world's earliest cities and empires, writing and literature, science and mathematics, monumental art, and innumerable other innovations. Civilizations of Ancient Iraq gives special attention to these milestones, as well as to political, social, and economic history. And because archaeology is the source of almost everything we know about ancient Iraq, the book includes an epilogue on the discovery and fate of its antiquities. Compelling and timely, Civilizations of Ancient Iraq is an essential guide to understanding Mesopotamia's central role in the development of human culture.
Publisher: Princeton University Press
ISBN: 0691149976
Category : History
Languages : en
Pages : 312
Book Description
In Civilizations of Ancient Iraq, Benjamin and Karen Foster tell the fascinating story of ancient Mesopotamia from the earliest settlements ten thousand years ago to the Arab conquest in the seventh century. Accessible and concise, this is the most up-to-date and authoritative book on the subject. With illustrations of important works of art and architecture in every chapter, the narrative traces the rise and fall of successive civilizations and peoples in Iraq over the course of millennia--from the Sumerians, Babylonians, and Assyrians to the Persians, Seleucids, Parthians, and Sassanians. Ancient Iraq was home to remarkable achievements. One of the birthplaces of civilization, it saw the world's earliest cities and empires, writing and literature, science and mathematics, monumental art, and innumerable other innovations. Civilizations of Ancient Iraq gives special attention to these milestones, as well as to political, social, and economic history. And because archaeology is the source of almost everything we know about ancient Iraq, the book includes an epilogue on the discovery and fate of its antiquities. Compelling and timely, Civilizations of Ancient Iraq is an essential guide to understanding Mesopotamia's central role in the development of human culture.
The Mathematics of Egypt, Mesopotamia, China, India, and Islam
Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 9780691114859
Category : Mathematics
Languages : en
Pages : 712
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.
Publisher: Princeton University Press
ISBN: 9780691114859
Category : Mathematics
Languages : en
Pages : 712
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.
Mathematics Across Cultures
Author: Helaine Selin
Publisher: Springer Science & Business Media
ISBN: 9401143013
Category : Mathematics
Languages : en
Pages : 489
Book Description
Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.
Publisher: Springer Science & Business Media
ISBN: 9401143013
Category : Mathematics
Languages : en
Pages : 489
Book Description
Mathematics Across Cultures: A History of Non-Western Mathematics consists of essays dealing with the mathematical knowledge and beliefs of cultures outside the United States and Europe. In addition to articles surveying Islamic, Chinese, Native American, Aboriginal Australian, Inca, Egyptian, and African mathematics, among others, the book includes essays on Rationality, Logic and Mathematics, and the transfer of knowledge from East to West. The essays address the connections between science and culture and relate the mathematical practices to the cultures which produced them. Each essay is well illustrated and contains an extensive bibliography. Because the geographic range is global, the book fills a gap in both the history of science and in cultural studies. It should find a place on the bookshelves of advanced undergraduate students, graduate students, and scholars, as well as in libraries serving those groups.
Mathematics in Ancient Egypt
Author: Annette Imhausen
Publisher: Princeton University Press
ISBN: 0691209073
Category : Mathematics
Languages : en
Pages : 248
Book Description
A survey of ancient Egyptian mathematics across three thousand years Mathematics in Ancient Egypt traces the development of Egyptian mathematics, from the end of the fourth millennium BC—and the earliest hints of writing and number notation—to the end of the pharaonic period in Greco-Roman times. Drawing from mathematical texts, architectural drawings, administrative documents, and other sources, Annette Imhausen surveys three thousand years of Egyptian history to present an integrated picture of theoretical mathematics in relation to the daily practices of Egyptian life and social structures. Imhausen shows that from the earliest beginnings, pharaonic civilization used numerical techniques to efficiently control and use their material resources and labor. Even during the Old Kingdom, a variety of metrological systems had already been devised. By the Middle Kingdom, procedures had been established to teach mathematical techniques to scribes in order to make them proficient administrators for their king. Imhausen looks at counterparts to the notation of zero, suggests an explanation for the evolution of unit fractions, and analyzes concepts of arithmetic techniques. She draws connections and comparisons to Mesopotamian mathematics, examines which individuals in Egyptian society held mathematical knowledge, and considers which scribes were trained in mathematical ideas and why. Of interest to historians of mathematics, mathematicians, Egyptologists, and all those curious about Egyptian culture, Mathematics in Ancient Egypt sheds new light on a civilization's unique mathematical evolution.
Publisher: Princeton University Press
ISBN: 0691209073
Category : Mathematics
Languages : en
Pages : 248
Book Description
A survey of ancient Egyptian mathematics across three thousand years Mathematics in Ancient Egypt traces the development of Egyptian mathematics, from the end of the fourth millennium BC—and the earliest hints of writing and number notation—to the end of the pharaonic period in Greco-Roman times. Drawing from mathematical texts, architectural drawings, administrative documents, and other sources, Annette Imhausen surveys three thousand years of Egyptian history to present an integrated picture of theoretical mathematics in relation to the daily practices of Egyptian life and social structures. Imhausen shows that from the earliest beginnings, pharaonic civilization used numerical techniques to efficiently control and use their material resources and labor. Even during the Old Kingdom, a variety of metrological systems had already been devised. By the Middle Kingdom, procedures had been established to teach mathematical techniques to scribes in order to make them proficient administrators for their king. Imhausen looks at counterparts to the notation of zero, suggests an explanation for the evolution of unit fractions, and analyzes concepts of arithmetic techniques. She draws connections and comparisons to Mesopotamian mathematics, examines which individuals in Egyptian society held mathematical knowledge, and considers which scribes were trained in mathematical ideas and why. Of interest to historians of mathematics, mathematicians, Egyptologists, and all those curious about Egyptian culture, Mathematics in Ancient Egypt sheds new light on a civilization's unique mathematical evolution.
Sourcebook in the Mathematics of Medieval Europe and North Africa
Author: Victor J. Katz
Publisher: Princeton University Press
ISBN: 0691156859
Category : Mathematics
Languages : en
Pages : 592
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.
Publisher: Princeton University Press
ISBN: 0691156859
Category : Mathematics
Languages : en
Pages : 592
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.
Ancient Knowledge Networks
Author: Eleanor Robson
Publisher: UCL Press
ISBN: 1787355942
Category : Social Science
Languages : en
Pages : 340
Book Description
Ancient Knowledge Networks is a book about how knowledge travels, in minds and bodies as well as in writings. It explores the forms knowledge takes and the meanings it accrues, and how these meanings are shaped by the peoples who use it.Addressing the relationships between political power, family ties, religious commitments and literate scholarship in the ancient Middle East of the first millennium BC, Eleanor Robson focuses on two regions where cuneiform script was the predominant writing medium: Assyria in the north of modern-day Syria and Iraq, and Babylonia to the south of modern-day Baghdad. She investigates how networks of knowledge enabled cuneiform intellectual culture to endure and adapt over the course of five world empires until its eventual demise in the mid-first century BC. In doing so, she also studies Assyriological and historical method, both now and over the past two centuries, asking how the field has shaped and been shaped by the academic concerns and fashions of the day. Above all, Ancient Knowledge Networks is an experiment in writing about ‘Mesopotamian science’, as it has often been known, using geographical and social approaches to bring new insights into the intellectual history of the world’s first empires.
Publisher: UCL Press
ISBN: 1787355942
Category : Social Science
Languages : en
Pages : 340
Book Description
Ancient Knowledge Networks is a book about how knowledge travels, in minds and bodies as well as in writings. It explores the forms knowledge takes and the meanings it accrues, and how these meanings are shaped by the peoples who use it.Addressing the relationships between political power, family ties, religious commitments and literate scholarship in the ancient Middle East of the first millennium BC, Eleanor Robson focuses on two regions where cuneiform script was the predominant writing medium: Assyria in the north of modern-day Syria and Iraq, and Babylonia to the south of modern-day Baghdad. She investigates how networks of knowledge enabled cuneiform intellectual culture to endure and adapt over the course of five world empires until its eventual demise in the mid-first century BC. In doing so, she also studies Assyriological and historical method, both now and over the past two centuries, asking how the field has shaped and been shaped by the academic concerns and fashions of the day. Above all, Ancient Knowledge Networks is an experiment in writing about ‘Mesopotamian science’, as it has often been known, using geographical and social approaches to bring new insights into the intellectual history of the world’s first empires.
Euclid's Elements
Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
Book Description
"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
The Oxford Handbook of the History of Mathematics
Author: Eleanor Robson
Publisher: Oxford University Press on Demand
ISBN: 0199213127
Category : History
Languages : en
Pages : 927
Book Description
This handbook explores the history of mathematics, addressing what mathematics has been and what it has meant to practise it. 36 self-contained chapters provide a fascinating overview of 5000 years of mathematics and its key cultures for academics in mathematics, historians of science, and general historians.
Publisher: Oxford University Press on Demand
ISBN: 0199213127
Category : History
Languages : en
Pages : 927
Book Description
This handbook explores the history of mathematics, addressing what mathematics has been and what it has meant to practise it. 36 self-contained chapters provide a fascinating overview of 5000 years of mathematics and its key cultures for academics in mathematics, historians of science, and general historians.
Mesopotamian Mathematics, 2100-1600 BC
Author: Eleanor Robson
Publisher: Oxford University Press
ISBN: 9780198152460
Category : Mathematics
Languages : en
Pages : 544
Book Description
Mathematics was integral to Mesopotamian scribal culture: indeed, writing was invented towards the end of the fourth millennium B.C. for the express purpose of recording numericalatical information. The main body of this book is a mathematical and philological discussion of the two hundred technical constants, or "coefficients," found in early second millennium mathematics. Their names and mathematical functions are established, leading to improved interpretations of several large mathematical topics. The origins of many coefficients--and much of the more practical mathematics--are traced to late third millennium accounting and quantity surveying practices. Finally, the coefficients are used to examine some aspects of mathematics education in early Mesopotamia.
Publisher: Oxford University Press
ISBN: 9780198152460
Category : Mathematics
Languages : en
Pages : 544
Book Description
Mathematics was integral to Mesopotamian scribal culture: indeed, writing was invented towards the end of the fourth millennium B.C. for the express purpose of recording numericalatical information. The main body of this book is a mathematical and philological discussion of the two hundred technical constants, or "coefficients," found in early second millennium mathematics. Their names and mathematical functions are established, leading to improved interpretations of several large mathematical topics. The origins of many coefficients--and much of the more practical mathematics--are traced to late third millennium accounting and quantity surveying practices. Finally, the coefficients are used to examine some aspects of mathematics education in early Mesopotamia.