
图论
Graph theory
Reinhard Diestel · 初版 1997 年
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这本现代图论的标准教科书现已出至第四版,兼具经典著作的权威性与生动鲜活的风格,而这正是活跃数学研究的标志。本书以简练而严谨完整的证明涵盖了该学科的核心内容,同时通过一两个更深入的结果展现了各领域中更前沿的方法,证明过程同样极为详尽。本书既可作为入门课程的可靠教材,也可作为研究生教材及自学读物。——书籍护封。
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Graph theory
Reinhard Diestel · 初版 1997 年
这本现代图论的标准教科书现已出至第四版,兼具经典著作的权威性与生动鲜活的风格,而这正是活跃数学研究的标志。本书以简练而严谨完整的证明涵盖了该学科的核心内容,同时通过一两个更深入的结果展现了各领域中更前沿的方法,证明过程同样极为详尽。本书既可作为入门课程的可靠教材,也可作为研究生教材及自学读物。——书籍护封。
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……Ram Murty 写的两本数论习题集。Melvyn Nathanson 的书也相当不错。6. 组合数学——Ian Anderson 的《Combinatorics of Finite Sets》,以及 Jukna 的《Extremal Combinatorics》。7. 图论——Diestel 或 Bondy/Murty 的。8. 伽罗瓦理论——Rotman 的很棒。
…the 2 problem books on number theory by Ram Murty. Melvyn Nathanson's book is quite good as well. 6. Combinatorics - Combinatorics of Finite Sets by Ian Anderson. Extremal Combinatorics by Jukna. 7. Graph Theory - Diestel or Bondy/Murty. 8. Galois Theory - Rotman is great.
推荐一本书:R. Diestel 著、Springer Verlag 出版的《Graph Theory》。
A book: Graph Theory, by R. Diestel, Springer Verlag.
如果你已经懂图论了,那 Diestel 的书非常棒。书里的证明精妙绝伦且极其简炼,但也正因如此它很难读,因为你必须费很大力气去思考那些定义、以及为什么偏偏要用那种方式给出定义(提示:就是为了让证明更加精简!)。
The Diestel book is great if you already know Graph Theory. The proofs are exquisitely concise, but it's hard to read because you have to think really hard about the definitions and why they're giving in precisely that way (hint: to make the proofs more concise!).
完全同意。自学的时候,我真的很讨厌数学书不附带习题解答。比如 Diestel 的《Graph Theory》非常棒,如果你想认真钻研这个学科,这就是你想读的书(我猜 D.B. West 的书是有附带答案的习题的),但 Diestel 这本到处都找不到答案;那些提示……
Completely in agreement. I really dislike when math books don't have solutions to exercises available, since I self-study. Like Diestel's Graph Theory is great, it's the book you want to read if you're serious about the subject (D.B. West's book has exercises with solutions, I suppose), but there's absolutely no solutions to be found anywhere; the hints…
有一本 Reinhard Diestel 写的书叫《Graph Theory》。以前网上曾有一份 pdf 版,但现在好像没了。Archive 上还有存档:http://web.archive.org/web/*/http://www.math.uni-hamburg.de/...(这个 pdf 差不多有 3……
There is a book "Graph Theory" by Reinhard Diestel. There used to be an online version as a pdf, but it seems to be gone now. The Archive has it: http://web.archive.org/web/*/http://www.math.uni-hamburg.de/... (the pdf is almost 3…
我希望自己当初能由此入门的书:《The Nature of Computation》- Moore, Mertens 我当年读的(研究生课程):《Graph Theory》- Reinhard Diestel 一本更百科全书式的著作(收录了大部分重大成果,无证明):《Handbook of Graph Theory》- Gross, Yellen
The place I wish I had started at: The Nature of Computation - Moore, Mertens What I got (graduate coursework): Graph Theory - Reinhard Diestel A more encyclopedic treatment (most big results, no proofs): Handbook of Graph Theory - Gross, Yellen