The Resource Taming the unknown : a history of algebra from antiquity to the early twentieth century, Victor J. Katz and Karen Hunger Parshall
Taming the unknown : a history of algebra from antiquity to the early twentieth century, Victor J. Katz and Karen Hunger Parshall
Resource Information
The item Taming the unknown : a history of algebra from antiquity to the early twentieth century, Victor J. Katz and Karen Hunger Parshall represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Taming the unknown : a history of algebra from antiquity to the early twentieth century, Victor J. Katz and Karen Hunger Parshall represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of San Diego Libraries.
This item is available to borrow from 1 library branch.
 Summary
 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
 Language
 eng
 Extent
 1 online resource (xiii, 485 pages)
 Contents

 6. Algebraic Thought in Medieval India
 7. Algebraic Thought in Medieval Islam
 8. Transmission, Transplantation, and Diffusion in the Latin West
 9. The Growth of Algebraic Thought in SixteenthCentury Europe
 10. From Analytic Geometry to the Fundamental Theorem of Algebra
 11. Finding the Roots of Algebraic Equations
 12. Understanding Polynomial Equations in n Unknowns
 13. Understanding the Properties of "Numbers"
 14. The Emergence of Modern Algebra
 References
 Frontmatter
 Index
 Contents
 Acknowledgments
 1. Prelude: What Is Algebra?
 2. Egypt and Mesopotamia
 3. The Ancient Greek World
 4. Later Alexandrian Developments
 5. Algebraic Thought in Ancient and Medieval China
 Isbn
 9781400850525
 Label
 Taming the unknown : a history of algebra from antiquity to the early twentieth century
 Title
 Taming the unknown
 Title remainder
 a history of algebra from antiquity to the early twentieth century
 Statement of responsibility
 Victor J. Katz and Karen Hunger Parshall
 Language
 eng
 Summary
 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
 Cataloging source
 CDX
 http://library.link/vocab/creatorName
 Katz, Victor J
 Illustrations

 illustrations
 maps
 Index
 index present
 Language note
 In English
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1955
 http://library.link/vocab/relatedWorkOrContributorName
 Parshall, Karen Hunger
 http://library.link/vocab/subjectName

 Algebra
 MATHEMATICS
 Algebra
 Label
 Taming the unknown : a history of algebra from antiquity to the early twentieth century, Victor J. Katz and Karen Hunger Parshall
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 mixed
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 6. Algebraic Thought in Medieval India
 7. Algebraic Thought in Medieval Islam
 8. Transmission, Transplantation, and Diffusion in the Latin West
 9. The Growth of Algebraic Thought in SixteenthCentury Europe
 10. From Analytic Geometry to the Fundamental Theorem of Algebra
 11. Finding the Roots of Algebraic Equations
 12. Understanding Polynomial Equations in n Unknowns
 13. Understanding the Properties of "Numbers"
 14. The Emergence of Modern Algebra
 References
 Frontmatter
 Index
 Contents
 Acknowledgments
 1. Prelude: What Is Algebra?
 2. Egypt and Mesopotamia
 3. The Ancient Greek World
 4. Later Alexandrian Developments
 5. Algebraic Thought in Ancient and Medieval China
 Control code
 ocn878099571
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 485 pages)
 Form of item
 online
 Governing access note
 Access restricted to Ryerson students, faculty and staff.
 Isbn
 9781400850525
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 JSTOR
 Other control number
 10.1515/9781400850525
 Other physical details
 illustrations, maps
 http://library.link/vocab/ext/overdrive/overdriveId
 22573/ctt5jqdpf
 Specific material designation
 remote
 System control number
 (OCoLC)878099571
 Label
 Taming the unknown : a history of algebra from antiquity to the early twentieth century, Victor J. Katz and Karen Hunger Parshall
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 mixed
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents

 6. Algebraic Thought in Medieval India
 7. Algebraic Thought in Medieval Islam
 8. Transmission, Transplantation, and Diffusion in the Latin West
 9. The Growth of Algebraic Thought in SixteenthCentury Europe
 10. From Analytic Geometry to the Fundamental Theorem of Algebra
 11. Finding the Roots of Algebraic Equations
 12. Understanding Polynomial Equations in n Unknowns
 13. Understanding the Properties of "Numbers"
 14. The Emergence of Modern Algebra
 References
 Frontmatter
 Index
 Contents
 Acknowledgments
 1. Prelude: What Is Algebra?
 2. Egypt and Mesopotamia
 3. The Ancient Greek World
 4. Later Alexandrian Developments
 5. Algebraic Thought in Ancient and Medieval China
 Control code
 ocn878099571
 Dimensions
 unknown
 Extent
 1 online resource (xiii, 485 pages)
 Form of item
 online
 Governing access note
 Access restricted to Ryerson students, faculty and staff.
 Isbn
 9781400850525
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Note
 JSTOR
 Other control number
 10.1515/9781400850525
 Other physical details
 illustrations, maps
 http://library.link/vocab/ext/overdrive/overdriveId
 22573/ctt5jqdpf
 Specific material designation
 remote
 System control number
 (OCoLC)878099571
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.sandiego.edu/portal/Tamingtheunknownahistoryofalgebrafrom/4bunbQBHwFs/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.sandiego.edu/portal/Tamingtheunknownahistoryofalgebrafrom/4bunbQBHwFs/">Taming the unknown : a history of algebra from antiquity to the early twentieth century, Victor J. Katz and Karen Hunger Parshall</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.sandiego.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.sandiego.edu/">University of San Diego Libraries</a></span></span></span></span></div>