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Cambridge Monographs on Mathematical Physics Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics

by Terry (University of Alberta) Gannon

Cambridge Monographs on Mathematical Physics Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics Synopsis

This book was originally published in 2006. Moonshine forms a way of explaining the mysterious connection between the monster finite group and modular functions from classical number theory. The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras. Moonshine Beyond the Monster describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between mathematics and mathematical physics. Written in a clear and pedagogical style, this book is ideal for graduate students and researchers working in areas such as conformal field theory, string theory, algebra, number theory, geometry and functional analysis. Containing over a hundred exercises, it is also a suitable textbook for graduate courses on Moonshine and as supplementary reading for courses on conformal field theory and string theory.

Cambridge Monographs on Mathematical Physics Moonshine beyond the Monster: The Bridge Connecting Algebra, Modular Forms and Physics Press Reviews

Review of the hardback: 'Gannon wants to explain to us 'what is really going on'. His book is like a conversation at the blackboard, with ideas being explained in informal terms, proofs being sketched, and unknowns being explored. Given the complexity and breadth of this material, this is exactly the right approach. ... The result is informal, inviting, and fascinating.' MAA Reviews Review of the hardback: 'I personally feel that one-volume introductions to subjects of major mathematical interest and importance are invaluable, as collecting information from a variety of scattered sources and arranging it in an accessible way is a great service to those new to the field. This book does this very successfully and is a helpful contribution to the literature.' Mathematics Today An excellent introduction to this area for anyone who is looking for an informal survey... written in a lively and readable style. R.E. Boucherds, University of California at Berkeley for the Bulletin of the AMS It is written in a breezy, informal style which eschews the familiar Lemma-Theorem-Remark style in favor of a more relaxed and continuous narrative which allows a wide range of material to be included. Gannon has written an attractive and fun introduction to what is an attractive and fun area of research. Geoffrey Mason, Mathematical Reviews Gannon wants to explain to us what is really going on. His book is like a conversation at the blackboard, with ideas being explained in informal terms, proofs being sketched, and unknowns being explored. Given the complexity and breadth of this material, this is exactly the right approach. The result is informal, inviting, and fascinating. Fernando Q. Gouvea, MAA Reviews

Book Information

ISBN: 9780521835312
Publication date: 7th September 2006
Author: Terry (University of Alberta) Gannon
Publisher: Cambridge University Press
Format: Hardback
Pagination: 492 pages
Categories: Maths for engineers, Maths for scientists,

About Terry (University of Alberta) Gannon

Terry Gannon is Professor of Mathematics at the University of Alberta, Edmonton. He is currently also Research Fellow of Alexander von Humboldt Foundation, EPSRC.

More About Terry (University of Alberta) Gannon

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