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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

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
Creator
Contributor
Author
Subject
Genre
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
Is part of
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
Instantiates
Publication
Copyright
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 Sixteenth-Century 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
Publication
Copyright
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 Sixteenth-Century 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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