Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Princeton, N.J.
Princeton University Press
[2014]
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| Schlagworte: | |
| Online-Zugang: | FAB01 FAW01 FCO01 FHA01 FKE01 FLA01 UPA01 Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (504p.) |
| ISBN: | 9781400850525 |
| DOI: | 10.1515/9781400850525 |
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Datensatz im Suchindex
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| author | Katz, Victor J. |
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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400850525 |
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| isbn | 9781400850525 |
| language | English |
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| spelling | Katz, Victor J. Verfasser aut Taming the Unknown A History of Algebra from Antiquity to the Early Twentieth Century Victor J. Katz, Karen Hunger Parshall Princeton, N.J. Princeton University Press [2014] 1 Online-Ressource (504p.) txt rdacontent c rdamedia cr rdacarrier 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 In English Geschichte Anfänge-1995 gnd rswk-swf Mathematik Algebra / History MATHEMATICS / Algebra / Intermediate Algebra Geschichte Algebra (DE-588)4001156-2 gnd rswk-swf Algebra (DE-588)4001156-2 s Geschichte Anfänge-1995 z 1\p DE-604 Parshall, Karen Hunger Sonstige oth https://doi.org/10.1515/9781400850525 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Katz, Victor J. Taming the Unknown A History of Algebra from Antiquity to the Early Twentieth Century Mathematik Algebra / History MATHEMATICS / Algebra / Intermediate Algebra Geschichte Algebra (DE-588)4001156-2 gnd |
| subject_GND | (DE-588)4001156-2 |
| title | Taming the Unknown A History of Algebra from Antiquity to the Early Twentieth Century |
| title_auth | Taming the Unknown A History of Algebra from Antiquity to the Early Twentieth Century |
| title_exact_search | Taming the Unknown A History of Algebra from Antiquity to the Early Twentieth Century |
| title_full | Taming the Unknown A History of Algebra from Antiquity to the Early Twentieth Century Victor J. Katz, Karen Hunger Parshall |
| title_fullStr | Taming the Unknown A History of Algebra from Antiquity to the Early Twentieth Century Victor J. Katz, Karen Hunger Parshall |
| title_full_unstemmed | Taming the Unknown A History of Algebra from Antiquity to the Early Twentieth Century Victor J. Katz, Karen Hunger Parshall |
| title_short | Taming the Unknown |
| title_sort | taming the unknown a history of algebra from antiquity to the early twentieth century |
| title_sub | A History of Algebra from Antiquity to the Early Twentieth Century |
| topic | Mathematik Algebra / History MATHEMATICS / Algebra / Intermediate Algebra Geschichte Algebra (DE-588)4001156-2 gnd |
| topic_facet | Mathematik Algebra / History MATHEMATICS / Algebra / Intermediate Algebra Geschichte |
| url | https://doi.org/10.1515/9781400850525 |
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