Sphere Packings, Lattices and Groups (1999) ( Grundlehren Der Mathematischen Wissenschaften (Springer Hardcover) #290 ) (3RD ed.)
暫譯: 球體堆積、格子與群 (1999) (數學科學基礎系列 (Springer 硬皮書) #290) (第三版)
John Conway, Neil J. A. Sloane
- 出版商: Springer
- 出版日期: 1998-12-07
- 售價: $4,230
- 貴賓價: 9.5 折 $4,019
- 語言: 英文
- 頁數: 706
- 裝訂: Hardcover
- ISBN: 0387985859
- ISBN-13: 9780387985855
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商品描述
The third edition of this definitive and popular book continues to pursue the question: what is the most efficient way to pack a large number of equal spheres in n-dimensional Euclidean space? The authors also examine such related issues as the kissing number problem, the covering problem, the quantizing problem, and the classification of lattices and quadratic forms. There is also a description of the applications of these questions to other areas of mathematics and science such as number theory, coding theory, group theory, analogue-to-digital conversion and data compression, n-dimensional crystallography, dual theory and superstring theory in physics. New and of special interest is a report on some recent developments in the field, and an updated and enlarged supplementary bibliography with over 800 items.
商品描述(中文翻譯)
這本權威且受歡迎的書籍第三版繼續探討這個問題:在 n 維歐幾里得空間中,如何以最有效的方式排列大量相同的球體?作者還研究了與此相關的問題,例如親吻數問題、覆蓋問題、量化問題,以及格子和二次型的分類。此外,還描述了這些問題在數學和科學其他領域的應用,例如數論、編碼理論、群論、類比轉數位轉換和數據壓縮、n 維晶體學、對偶理論以及物理學中的超弦理論。特別值得注意的是,書中報告了一些該領域的最新發展,並提供了一份更新和擴充的補充書目,包含超過 800 項資料。