
朴素李理论
Naive lie theory
John C. Stillwell · 初版 2008 年
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在这本新教材中,知名学者John Stillwell为大学三、四年级本科生清晰明了地介绍了Lie theory。为此,他将重点放在刻画实数、复数和quaternion spaces对称性的所谓“classical groups”上。这些对称群可以用矩阵表示,从而使得借助calculus和linear algebra的初等方法对其进行研究成为可能。这种通俗的Lie theory研究途径最初源于von Neumann,如今通过借助本科数学的标准成果,该方法得以进一步精简。
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Stillwell 是位很棒的作者。《天真李理论》(Naive Lie Theory)读起来非常过瘾,里面有一大块专门讲四元数(quaternions)。
Stillwell is a great author. Naive Lie Theory is a great read, with a big section on quaternions.
赞同,+1。他的其他书也很精彩(比如《逆向数学》(Reverse Mathematics)、《天真李理论》(Naive Lie Theory))。很厉害的作者。
Seconding this. His other books are great as well (Reverse Mathematics, Naive Lie Theory). Great writer.
《天真李理论》(Naive Lie Theory)是一本好书,第一章就教了四元数。https://www.goodreads.com/en/book/show/4419538
Naive Lie Theory is a great book, and the first chapter teaches quaternions. https://www.goodreads.com/en/book/show/4419538
我最近正在死磕 Stillwell 写的《天真李理论》(Naive Lie Theory)https://www.amazon.com/Naive-Theory-Undergraduate-Texts-Math... ,第一章里讲了很多四元数的内容,包括它们的标准矩阵表示。你得先……
I'm currently working through Naive Lie Theory https://www.amazon.com/Naive-Theory-Undergraduate-Texts-Math... by Stillwell and there's a lot about quaternions in the first chapter, including their standard matrix representation. You'd need to be…
还有 Stillwell 写的《天真李理论》(Naive Lie Theory),定位是本科水平。我还没读过,但已经躺在我书单里很久了。https://www.amazon.com/Naive-Theory-Undergraduate-Texts-Math...
There is also Naive Lie Theory by Stillwell, which is targeted at an undergraduate level. I haven't read it yet, but it's been on my radar for a while. https://www.amazon.com/Naive-Theory-Undergraduate-Texts-Math...