Sphere Packings, Lattices and Groups (Grundlehren der mathematischen Wissenschaften, 290)
by John Conway, Neil J. A. Sloane
This authoritative text by John Conway and Neil J. A. Sloane investigates sphere packings, lattices, and groups within the framework of advanced mathematics. Part of the Grundlehren der mathematischen Wissenschaften series, it offers deep insights into geometric structures and their classifications, essential for scholars in discrete geometry and algebra.
About This Book
Sphere Packings, Lattices and Groups is a comprehensive volume in the Grundlehren der mathematischen Wissenschaften series, authored by John Conway and Neil J. A. Sloane. It addresses key structures in mathematics that underpin various theoretical advancements.
The book examines sphere packings, which involve arranging spheres in space to maximize density, alongside lattices as discrete subgroups of Euclidean space. These elements are crucial for understanding symmetry and periodicity in higher dimensions.
Groups are explored in the context of their geometric realizations, providing tools for classifying and analyzing these mathematical objects. The work serves as a reference for researchers in discrete mathematics and related fields.
Published as part of a prestigious series, it maintains rigorous standards of mathematical exposition, making complex ideas accessible to specialists.
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