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 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
- 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 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
- 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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<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.sandiego.edu/portal/Taming-the-unknown--a-history-of-algebra-from/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/Taming-the-unknown--a-history-of-algebra-from/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>
