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Taming the unknown: a history of algebra from antiquity to the early twentieth century, by Victor J Katz and Karen Hunger Parshall

机译:驯服未知世界:维克多·J·卡兹(Victor J Katz)和凯伦·汉格·帕希尔(Karen Hunger Parshall)从上古到20世纪初的代数历史

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In all honesty, when I was asked to review this work, my first thought was: 'Why do we need another book on the history of algebra?' After all, in recent years books on the subject have not been hard to find. One need only mention scholarly works such as Novy (1973), van der Waerden (1985), Scholz (1990), Sinaceur (1991), Corry (1994), Sesiano (1999), Bashmakova and Smirnova (2000), Gray and Parshall (2007), Kleiner (2007), Cooke (2008), and Stedall (2011), while popular treatments of certain aspects include Nahin (1998), Livio (2005), and Derbyshire (2006), for example. What then could be the motivation for adding to this already substantial list? According to the authors of the present work, the majority of the more academic books 'are limited either in the eras covered or in geographical reach', while many of the more expository works contain 'too many errors of fact and interpretation to stand unchallenged' (p 3). Their motivation was thus to write a broad and reliable narrative tracing the development of algebraic thought from earliest times, via a number of distinct geographical regions, to the emergence of what is often called 'modern algebra' in the early twentieth century.
机译:老实说,当我被要求审查这项工作时,我的第一个想法是:“我们为什么需要另一本关于代数历史的书?”毕竟,近年来很难找到有关该主题的书籍。只需提及一些学术著作,例如Novy(1973),van der Waerden(1985),Scholz(1990),Sinaceur(1991),Corry(1994),Sesiano(1999),Bashmakova和Smirnova(2000),Gray和Parshall (2007),Kleiner(2007),Cooke(2008)和Stedall(2011),而某些方面的流行疗法例如包括Nahin(1998),Livio(2005)和Derbyshire(2006)。那么,将其添加到这个已经很大的清单中的动机可能是什么?根据当前工作的作者的观点,多数更多的学术著作“仅限于所覆盖的时代或地理范围内的时代”,而许多更具说明性的著作包含“太多的事实和解释错误,以至于不受挑战” (第3页)。因此,他们的动机是写一篇广泛而可靠的叙述,以追溯代数思想的发展,从最早的时代开始,通过许多不同的地理区域,到二十世纪初通常被称为“现代代数”的事物的出现。

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