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Full Description
The Rogers--Ramanujan identities are a pair of infinite series—infinite product identities that were first discovered in 1894. Over the past several decades these identities, and identities of similar type, have found applications in number theory, combinatorics, Lie algebra and vertex operator algebra theory, physics (especially statistical mechanics), and computer science (especially algorithmic proof theory). Presented in a coherant and clear way, this will be the first book entirely devoted to the Rogers—Ramanujan identities and will include related historical material that is unavailable elsewhere.
Contents
Background and the Pre-History. The Golden Age and its Modern Legacy. Infinite Families...Everywhere! From Infinite to Finite. Motivated Proofs, Connections to Lie Algebras, and More Identities. But wait...there's more!