……里面大部分是比较简单的数学题,毕竟主要是面向师资培训的,但他展示的通用方法往往对解决更难、更复杂的问题很有帮助。Wickelgren 的《How to Solve Mathematical Problems》(原名是《How to Solve Problems》,新书名更准确)包含了基础和更高阶的解题策略。关于这类书的最佳用法,根据我的经验,在读完……
…It is mostly simpler types of math, it is intended for teacher training after all, but the general methods he demonstrates can often help with much harder and more complicated problems. Wickelgren's How to Solve Mathematical Problems (originally titled, How to Solve Problems, the new title is more accurate) has both basic and more advanced tactics for problem solving. The best way I have found to use these types of books, after reading…
……遇到过的都是那种“证明留作练习”的类型,如果你看不懂具体是怎么推导的,它就根本不会也不能教你怎么进行下一步。在这方面 Tao(陶哲轩)是个极大的例外。他的《How to Solve Mathematical Problems》(http://www.amazon.com/Solving-Mathematical-Problems-Personal...)比波利亚的那本名著更具针对性,而且在学习数学家是如何思考这方面帮助大得多。你可以先读第一章……
…have encountered were of the "proof is left as an exercise" type, where if you didn't see how things done would't or couldn't help you in learning how to proceed. Tao is a big outlier in this regard. His How to Solve Mathematical Problems (http://www.amazon.com/Solving-Mathematical-Problems-Personal...) is more focused than Polya's famous book but is a much better help in learning how mathematicians think. You can get the first chapter…
……里面大部分是比较简单的数学题,毕竟主要是面向师资培训的,但他展示的通用方法往往对解决更难、更复杂的问题很有帮助。Wickelgren 的《How to Solve Mathematical Problems》(原名是《How to Solve Problems》,新书名更准确)包含了基础和更高阶的解题策略。关于这类书的最佳用法,根据我的经验,在读完……
…It is mostly simpler types of math, it is intended for teacher training after all, but the general methods he demonstrates can often help with much harder and more complicated problems. Wickelgren's How to Solve Mathematical Problems (originally titled, How to Solve Problems, the new title is more accurate) has both basic and more advanced tactics for problem solving. The best way I have found to use these types of books, after reading…
……遇到过的都是那种“证明留作练习”的类型,如果你看不懂具体是怎么推导的,它就根本不会也不能教你怎么进行下一步。在这方面 Tao(陶哲轩)是个极大的例外。他的《How to Solve Mathematical Problems》(http://www.amazon.com/Solving-Mathematical-Problems-Personal...)比波利亚的那本名著更具针对性,而且在学习数学家是如何思考这方面帮助大得多。你可以先读第一章……
…have encountered were of the "proof is left as an exercise" type, where if you didn't see how things done would't or couldn't help you in learning how to proceed. Tao is a big outlier in this regard. His How to Solve Mathematical Problems (http://www.amazon.com/Solving-Mathematical-Problems-Personal...) is more focused than Polya's famous book but is a much better help in learning how mathematicians think. You can get the first chapter…