An Invitation to the Rogers-Ramanujan Identities
暫譯: 羅傑斯-拉馬努金恆等式的邀請
Sills, Andrew V.
- 出版商: CRC
- 出版日期: 2020-09-30
- 售價: $2,480
- 貴賓價: 9.5 折 $2,356
- 語言: 英文
- 頁數: 256
- 裝訂: Quality Paper - also called trade paper
- ISBN: 0367657619
- ISBN-13: 9780367657611
海外代購書籍(需單獨結帳)
商品描述
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.
商品描述(中文翻譯)
羅傑斯-拉馬努詹身份是一對無窮級數-無窮乘積身份,首次發現於1894年。在過去幾十年中,這些身份及類似類型的身份在數論、組合數學、李代數和頂點算子代數理論、物理學(特別是統計力學)以及計算機科學(特別是算法證明理論)中找到了應用。本書將以連貫且清晰的方式呈現,將是第一本專門致力於羅傑斯-拉馬努詹身份的書籍,並將包括其他地方無法獲得的相關歷史資料。
作者簡介
Andrew Sills obtained his Ph.D. in 2002 from the University of Kentucky under. George E. Andrews, Evan Pugh Professor of Mathematics, Pennsylvania State University. He was Hill Assistant Professor of Mathematics, at Rutgers University between 2003- 2007 and a Tenure-track Assistant Professor at Georgia Southern University between 2007-2011. Since 2011 he has been Associate Professor of Mathematics at Georgia Southern, becoming a full Professor of Mathematics, effective August 1, 2015. He is a permanent Member of DIMACS (Center for Discrete Mathematics and Computer Science), since 2011. Research Grant: "Computer Assisted Research in Additive and Combinatorial Number Theory and Allied Areas," National Security Agency Grant, 2014-2015.
作者簡介(中文翻譯)
安德魯·西爾斯(Andrew Sills)於2002年在肯塔基大學獲得博士學位,指導教授為喬治·E·安德魯斯(George E. Andrews),他是賓夕法尼亞州立大學的埃文·皮尤數學教授(Evan Pugh Professor of Mathematics)。他於2003年至2007年間擔任羅格斯大學的希爾助理教授(Hill Assistant Professor of Mathematics),並於2007年至2011年間擔任喬治亞南方大學的終身教職助理教授(Tenure-track Assistant Professor)。自2011年以來,他一直是喬治亞南方大學的數學副教授,並於2015年8月1日起晉升為數學正教授。他自2011年以來是DIMACS(離散數學與計算機科學中心)的永久成員。研究計畫:「計算機輔助的加法與組合數論及相關領域研究」,國家安全局贊助,2014-2015年。