Lie groups, Lie algebras, and representations: An elementary introduction , by Brian Hall. Pp. 351. £50. 2003. ISBN 0 387 401229 (Springer-Verlag).
Lie groups, Lie algebras, and representations: An elementary introduction , by Brian Hall. Pp. 351. £50. 2003. ISBN 0 387 401229 (Springer-Verlag).
复制标题
李群、李代数和表示：布莱恩·霍尔 (Brian Hall) 着，第 351 页。50 英镑。ISBN 0 387 401229 (Springer-Verlag)。
作者：
Mark Hunacek
广义泰勒展开理论、欧拉-麦克劳林公式和伽马函数。这本书的主题主要是高级本科水平，但它们是以更高级的目的所需的一般性提出的。例如，允许函数在拓扑向量空间取值，并在配备比较标度的过滤集上处理渐近展开。然而，这种概括性掩盖了一些更日常的数学主题，比如微积分，我发现处理特定主题的方法更容易阅读，比如凸函数或伽马函数。
theory of generalised Taylor expansions, the Euler-MacLaurin formula and the Gamma function. The topics of the book are mainly of an advanced undergraduate level, but they are presented in the generality needed for more advanced purposes. For example, functions are allowed to take values in topological vector spaces and asymptotic expansions are treated on a filtered set equipped with a comparison scale. This generality however, obscures some of the more everyday topics of mathematics, like differentiation and integration, and I found the treatment of specific subjects such as convex functions or the Gamma function easier reading.