数学推理导论
An Introduction to Mathematical Reasoning
Peter J. Eccles · 初版 1997 年
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为什么值得读
- 适合作为学习数学证明与思考方法的起点
- 篇幅短小精悍且逻辑严谨
- 补充入门课程常跳过的严谨推导过程
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An Introduction to Mathematical Reasoning
Peter J. Eccles · 初版 1997 年
正在加载完整评论……
…https://www.amazon.com/Mathematics-Million-Master-Magic-Numb... 这两本里我更喜欢 Kline 的那本，不过两本都不错，虽然几何内容偏多，毕竟早期数学研究很侧重这个。另一个很棒的入门切入点是《Book of Proofs》和《Introduction to Mathematical Reasoning》，能让你更深入地理解怎么去学这门学科。https://www.amazon.com/Book-Proof-Richard-Hammack/dp/0989472... https://www.amazon.com/Introduction-Mathematical-Reasoning-N... 从那之后…
…https://www.amazon.com/Mathematics-Million-Master-Magic-Numb... Of the two I prefered Kline's book but they are both good, albeit a bit heavy on geometery as that was a big focus of early math research. Another great starting point is "Book of Proofs" and "Introduction to Mathematical Reasoning" to give you a deeper sense of how to approach the subject. https://www.amazon.com/Book-Proof-Richard-Hammack/dp/0989472... https://www.amazon.com/Introduction-Mathematical-Reasoning-N... From there…
《阿特拉斯耸耸肩》、《源泉》、《异乡异客》、《人生的规则》、《第二十二条军规》、《1984》、《美丽新世界》，还有 Peter Eccles 的《数学推理导论》（An Introduction to Mathematical Reasoning）
Atlas Shrugged, The Fountainhead, Stranger in a Strange Land, The Rules of Life, Catch-22, 1984, Brave New World, and An Introduction to Mathematical Reasoning (by Peter Eccles)
…适用于更进阶的概念，讲解了环/域（Rings/Fields），而且逻辑学入门写得非常好。真希望我 5 年前刚起步时就有这本书 http://press.princeton.edu/titles/10697.html。Eccles 的《数学推理导论》（An Introduction to Mathematical Reasoning）篇幅不长，但写得极好。你也可以在这里下载 CMU 证明课程的讲义 http://math.cmu.edu/~svasey/concepts-summer-1-2014/，想练手的话可以做做里面的作业…
…applies to more advanced concepts, explains Rings/Fields and has a really good introduction to Logic. I wish this book existed 5 years ago when I started http://press.princeton.edu/titles/10697.html "An Introduction to Mathematical Reasoning" by Eccles is short and excellent. You can also download the lecture notes here from CMU's course on proofs http://math.cmu.edu/~svasey/concepts-summer-1-2014/ and try some of the homework if you want…
…很多东西都被省略了。一旦你掌握了那些知识，它就说得通，但在那之前，感觉就像是在没有严密推理链条支撑的情况下跨了一大步。回答楼主的问题：Peter Eccles 的《数学推理导论》（An Introduction to Mathematical Reasoning）对我帮助很大。它基本上就是许多计算机/数学入门课程开头的扩充版。另一个选择是，如果集合、数论之类的内容让你觉得困惑…
…things are omitted. once you have that knowledge it makes sense, but before that it seems like giant leaps are being taken without a rigorous line of reasoning between them. to answer op's question: "an introduction to mathematical reasoning" by peter eccles was helpful for me. it's basically an expanded version of what you'll find at the start of many intro cs/math courses. another option, if sets, number theory and such are confusing to…
另一本我推荐给所有朋友的书：Peter J. Eccles 的《数学推理导论：数、集合与函数》（An Introduction to Mathematical Reasoning: Numbers, Sets and Functions）。你在亚马逊上就能找到。
Another book to read that I recommend to all my friends: An Introduction to Mathematical Reasoning: Numbers, Sets and Functions by Peter J. Eccles. You can find it on Amazon.
赶紧去买，一刻都别耽搁，去读 Peter Eccles 的《数学推理导论》（An Introduction to Mathematical Reasoning）。那会让你开眼界，看看数学家到底是怎么做数学的。读完那本之后，Serge Lang 的任何书都可以读。他是顶尖的数学家，也是位出色的教育家。真真正正的数学…
Run, don't walk, and get "An Introduction to Mathematical Reasoning"by Peter Eccles. That will open your eyes to mathematics, as done by mathematicians. After that, anything by Serge Lang. He is a first-rate mathematician and a fine educator. A master of mathematical…