球堆积、格与群
Sphere packings, lattices, and groups
John Horton Conway、Neil J. A. Sloane · 初版 1988 年
2人推荐
2位读者提及
2次提及
本书系统阐述了由球堆积（sphere packings）理论衍生出的数学知识。该领域的基本问题已取得显著进展，书中呈现了最新的研究成果。同时，书中还深入探讨了其与纯粹数学及应用数学诸多领域（例如信号处理、编码理论）之间的密切联系。
Hacker News 上怎么说
正在加载完整评论……
……纯数学中一个非常迷人的领域。它跟编码理论、格论（lattice theory）、数论、模形式密切相关。前不久因 COVID 去世的 John Conway [1] 写过一本关于该领域的名著：《Sphere Packings, Lattices and Groups》——它把这一学科高度概括、言简意赅。最近（2017年）的一项突破是证明了 Leech 格 [2] 给出了 24 维空间中的最优球堆积（sphere packing）[3]。所构造的纠错码……
…fascinating area of pure mathemaics. It has close relations to coding theory, lattice theory, number theory, modular forms. John Conway [1] (who recently passed away due to COVID) wrote a famous book about it: Sphere Packings, Lattices and Groups -- which summarizes the subject concisely. A recent (2017) break through, was the proof that the Leech Lattice [2] yields the optimal sphere packing in dimension 24 [3]. The error correcting code constructed…
……不是一位数学研究学者，而是一名高中老师。《生命游戏》（Game of Life）固然是经久不衰的经典，但我也会永远怀念《Winning Ways for Your Mathematical Plays》以及《Sphere Packings, Lattices and Groups》（被大家亲切地称为 SPLAG）。数学界真真切切地失去了一位活着的传奇。[0] https://books.google.com/books/about/The_Triangle_Book.html?...
…was not a research mathematician but a high school teacher. Of course the Game of Life is an enduring classic, but I’ll also always have fond memories of Winning Ways for Your Mathematical Plays and Sphere Packings, Lattices and Groups (affectionately known as SPLAG). The mathematical world has truly lost a living legend. [0] https://books.google.com/books/about/The_Triangle_Book.html?...