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Victor J Katz - Taming the Unknown A History of Algebra from Antiquity to the Early Twentieth Century [2014][A]

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 							Product Details
  Book Title: Taming the
Unknown: A History of Algebra from Antiquity to the Early Twentieth Century	 	
  Book Author:  Victor J. Katz , Karen Hunger Parshall
   Hardcover: 504 pages
   Publisher:
Princeton University Press (July 21, 2014)
   Language: English
   ISBN-10: 0691149054
   ISBN-13:
978-0691149059
  
  Book Description
  Publication Date: July 21, 2014 | ISBN-10: 0691149054 | ISBN-13: 978-0691149059
  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.
 

  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
  
  About the Author
  Victor J. Katz is
professor of mathematics emeritus at the University of the District of Columbia. Karen Hunger
Parshall is professor of history and mathematics at the University of Virginia.  						

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