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About this product
Product Identifiers
PublisherCambridge University Press
ISBN-100521141885
ISBN-139780521141888
eBay Product ID (ePID)80559257
Product Key Features
Number of Pages492 Pages
Publication NameMoonshine Beyond the Monster : the Bridge Connecting Algebra, Modular Forms and Physics
LanguageEnglish
SubjectGroup Theory, Number Theory, Algebra / General, Physics / Mathematical & Computational
Publication Year2010
TypeTextbook
AuthorTerry Gannon
Subject AreaMathematics, Science
SeriesCambridge Monographs on Mathematical Physics Ser.
FormatTrade Paperback
Dimensions
Item Height1 in
Item Weight27.6 Oz
Item Length9.6 in
Item Width6.7 in
Additional Product Features
Intended AudienceScholarly & Professional
Dewey Edition22
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, "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.' 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, 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, "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
IllustratedYes
Dewey Decimal512
Table Of ContentAcknowledgements; Introduction: glimpses of the theory beneath Monstrous moonshine; 1. Classical algebra; 2. Modular stuff; 3. Gold and brass: affine algebras and generalisations; 4. Conformal field theory: The physics of Moonshine; 5. Vertex operator algebras; 6. Modular group representations throughout the realm; 7. Monstrous Moonshine; Epilogue; Notation; References; Index.
SynopsisThis 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., 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, the first book of its kind, describes the general theory of Moonshine and its underlying concepts, emphasising the interconnections between modern 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., This book, originally published in 2006, describes the general theory of Moonshine and its underlying concepts, emphasising the fundamental ideas and examples behind some of the most fascinating topics in mathematics and physics. For graduates and researchers working in areas such as algebra, number theory, geometry, analysis, quantum field theory and conformal field theory.
LC Classification NumberQA37.3
