当代抽象代数
Contemporary Abstract Algebra
Joseph A. Gallian、Joseph Gallian · 初版 1986 年
7人推荐
9位读者提及
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本书主要面向以使学生掌握计算和证明编写为主要目的的 abstract algebra 课程。全书强调在 abstract algebra 的传统主题上打下坚实基础的重要性，同时也将其呈现为一门现代且非常活跃的学科，目前正被物理学家、化学家和计算机科学家在实际工作中广泛应用。
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加利安的《当代抽象代数》就是我当年用的教材。我真的很喜欢这门学科。我遇到过一位极富启发性的好老师，不过这确实也是本好书。https://www.amazon.com/Contemporary-Abstract-Algebra-Joseph-...
Gallian's Contemporary Abstract Algebra is the book I used. I really loved the subject. I had an awesome teacher that did a lot to inspire, but this was a good book. https://www.amazon.com/Contemporary-Abstract-Algebra-Joseph-...
……精彩绝伦的推导，它会回馈给你对许多实用数学非常扎实的直觉理解。这本书的核心目标就是培养顿悟洞察力，它完全做到了。2/ 加利安的《当代抽象代数》。这帮我学会了更多现代数学的语言，让我能更自如地接触自己领域的最新进展。这是一本通俗易懂、不会过分死板严苛的……
…fireworks going on there it will reward you with a very strong intuitive understanding of a lot of practical mathematics. The key goal of this book was to teach insight and it totally hits the mark. 2/ Contemporary Abstract Algebra by Gallian. This helped me learn more of the language of modern mathematics, so I could be more comfortable approaching recent developments in my field. It is an approachable, not-excessively-rigorous…
……- 佐山，《复杂系统建模与分析导论》- 达斯特，《线性规划导论：应用与扩展》- 苏林，《用数学制作图像》- 加利安，《当代抽象代数》还有很多其他的。当然，所有这种书单都纯属个人主观。一旦我对某个主题熟悉了，长篇大论的解释就显得多余，我真想大喊：“直接说重点行不行！”……
…- Sayama, Introduction to the Modeling and Analysis of Complex Systems - Darst, Introduction to Linear Programming: Applications and Extensions - Sourin, Making Images with Mathematics - Gallian, Contemporary Abstract Algebra And many others. Of course, all such lists are completely arbitrary. Once I get familiar with a certain topic, elaborate explanations seem redundant and I feel like shouting, "Get to the point already!"…
……在讨论到几个很美的主题中，讨论了关于形数的内容。3) 《极大与极小问题的故事》，V. M. 季霍米罗夫著，里面有一些美妙的轶事和微积分的有趣应用。4) 《当代抽象代数》，约瑟夫·加利安著，这是一本超越单纯教教材的代数书。里面有引语、传记、谜题以及代数的有趣应用。
…discusses about figurative numbers amoung several other beautiful topics. 3) "Stories About Maxima and Minima", V. M. Tikhomirov has some beautiful anecdotes and interesting applications of calculus. 4) "Contemporary Abstract Algebra", by Joseph Gallian is an algebra textbook that goes beyond just teaching material. It has quotations, biographies, puzzles and interesting applications of algebra.
> - Gallian 的《Contemporary Abstract Algebra》。那本书神了。另外我也推荐 Miklos Bona 的《A walk through combinatorics》，讲解非常浅显，练习题出得极好，而且书里自己就带解答。
> - Gallian, Contemporary Abstract Algebra That is an amazing book. I will also recommend "A walk through combinatorics" by Miklos Bona for simple explanations and well made exercises with solutions present in the book itself.
如果你在找一本通俗易懂的入门/概述书，可以试试约瑟夫·A·加利安的《当代抽象代数》。它还包含很多应用，其中一些与密码学息息相关。
If you're looking for an accessible introduction/overview, try Contemporary Abstract Algebra by Joseph A. Gallian. It also includes lots of applications, some of which are relevant to cryptography.