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Taming the Unknown - A History of Algebra from Antiquity to the Early Twentieth Century (Anglais) Relié – 1 juillet 2014

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5.0 étoiles sur 5 A Powerful and Modern Narrative on Algebra. 12 avril 2015
Par G. Arnell Williams - Publié sur
Format: Relié Achat vérifié
In recent times, much exceptional work often in the form of articles has been written on the nature and history of algebra: What is algebra truly about? What role did symbolism really play throughout its history? Are there three distinct phases in the evolution of algebra: rhetorical, syncopated and symbolic? Or only two: rhetorical and symbolic? Or should we look for a different classification scheme entirely? Excellent research is being done in many places throughout the world on these and other important questions.

This excellent and well-researched book joins this current tradition by providing one of the most powerful historical narratives of algebra that I have yet seen. In regards to its history on elementary algebra, the book strikes the nice balance between providing sufficient technical details without overwhelming the reader. It also goes into very nice depth and detail in discussing the extensive contributions to algebra of medieval mathematicians.

Another highlight of the book is its detailed discussion of the connection between the revolutionary work in algebra of 16th century mathematicians and the revolutionary work in analytic geometry, calculus and physics of 17th century mathematicians & scientists. This is a powerful and important transformational bridge that is often glossed over in many books. Taming the Unknown tackles these particulars head-on; and in an insightful and nuanced fashion that sets it apart from the pack.

The book also excels in its demonstration of how the study of the algebraic structure of equation solving in the 17th through early 19th centuries gradually transformed into the modern abstract algebraic study of mathematical structures in general.

All in all, Katz & Parshall are to be commended for having written a remarkable book. One of their stated goals is to show how the algebra of the past (much of which is now codified in the x’s & y’s in today’s school algebra courses) led to some of the modern algebra of today (now taught to “advanced college-level students”). A noble aim which, in my opinion, they have in great measure achieved.

If you are someone seeking a deeper conceptual understanding and appreciation of the history and/or structure of algebra in its many phases, then this book (written in the form of a tightly woven and explanatory story) is for you!
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5.0 étoiles sur 5 I rate this book, Taming the unknown, as ... 5 janvier 2016
Par Francis Bacon - Publié sur
Format: Relié Achat vérifié
I rate this book, Taming the unknown, as a magnificent 5 star book.
I applaud the authors for the hard work and academic excellence
that they put into their book. To see the historical unfolding of the
mathematical roots of algebra across so many cultures, makes for
fascinating reading. The quest for solving for the unknown, reveals the
universal aptitude of scholars across Egyptian, Mesopotamian, Greek,
Chinese, Islamic and European cultures in giving us this heritage. This
book is a treasure to have on my book shelve.
1 internautes sur 1 ont trouvé ce commentaire utile 
5.0 étoiles sur 5 Great book! 10 avril 2016
Par Rachael Bro - Publié sur
Format: Relié
I actually didn't purchase this book on Amazon but I did use it for a class and really enjoyed it so I thought I might as well post a review. The authors did a great job at organizing their book as well as presenting information to the reader. Even though I was required to read it for class, I found myself not hating that I had to read for class. It's interesting to read about history from a mathematical view.
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