Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century

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9780691149059: Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century

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.

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From the Inside Flap:


"Taming the Unknown is well written and informative, and will satisfy any reader with an interest in the history of algebra. Striking just the right balance between general overview and technical detail, this book is a pleasure to read."--Joseph W. Dauben, City University of New York, Graduate Center


"This original and high-quality book is a significant contribution to the history of mathematics. It will be useful to scholars doing research in the history of mathematics, as well as to a broader readership that includes mathematics teachers, advanced undergraduate or graduate students, and mathematicians."--Leo Corry, Tel Aviv University


"This fine survey of the history of algebra is clearly and engagingly written. It will become the standard reference on this topic by virtue of its scholarship, coverage, and readability."--Tom Archibald, Simon Fraser University


From the Inside Flap:

"This original and high-quality book is a significant contribution to the history of mathematics. It will be useful to scholars doing research in the history of mathematics, as well as to a broader readership that includes mathematics teachers, advanced undergraduate or graduate students, and mathematicians."--Leo Corry, Tel Aviv University

"This fine survey of the history of algebra is clearly and engagingly written. It will become the standard reference on this topic by virtue of its scholarship, coverage, and readability."--Tom Archibald, Simon Fraser University

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1.

Victor J. Katz, Karen Hunger Parshall
Editore: Princeton University Press, United States (2014)
ISBN 10: 0691149054 ISBN 13: 9780691149059
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Descrizione libro Princeton University Press, United States, 2014. Hardback. Condizione libro: New. Language: English . Brand New Book. 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. Codice libro della libreria AAU9780691149059

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Katz, Victor J.; Parshall, Karen Hunger
Editore: Princeton University Press (2014)
ISBN 10: 0691149054 ISBN 13: 9780691149059
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Descrizione libro Princeton University Press, 2014. Condizione libro: New. 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. This title considers how these two seemingly different types of algebra evolved and how they relate. Num Pages: 504 pages, 29 halftones. 51 line illus. 3 maps. BIC Classification: PBCD; PBF; PBX. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 243 x 163 x 35. Weight in Grams: 986. . 2014. Hardcover. . . . . . Codice libro della libreria V9780691149059

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Descrizione libro Princeton University Press, 2014. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria BB-9780691149059

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Victor J. Katz, Karen Hunger Parshall
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ISBN 10: 0691149054 ISBN 13: 9780691149059
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Descrizione libro Princeton University Press, United States, 2014. Hardback. Condizione libro: New. Language: English . Brand New Book. 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. Codice libro della libreria AAU9780691149059

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Katz, Victor J.; Parshall, Karen Hunger
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Descrizione libro Princeton University Press. Condizione libro: New. 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. This title considers how these two seemingly different types of algebra evolved and how they relate. Num Pages: 504 pages, 29 halftones. 51 line illus. 3 maps. BIC Classification: PBCD; PBF; PBX. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 243 x 163 x 35. Weight in Grams: 986. . 2014. Hardcover. . . . . Books ship from the US and Ireland. Codice libro della libreria V9780691149059

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Victor J. Katz, Karen Hunger Parshall, Karen Hunger Parshall
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Descrizione libro Princeton University Press 2014-07-01, Princeton, 2014. hardback. Condizione libro: New. Codice libro della libreria 9780691149059

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Victor J. Katz; Karen Hunger Parshall
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Descrizione libro Princeton University Press, 2014. Condizione libro: New. book. Codice libro della libreria ria9780691149059_rkm

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Descrizione libro Princeton University Press 7/21/2014, 2014. Hardback or Cased Book. Condizione libro: New. Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century. Book. Codice libro della libreria BBS-9780691149059

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Descrizione libro 2014. HRD. Condizione libro: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria IB-9780691149059

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