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商品描述
Geometry of Derivation with Applications is the fifth work in a longstanding series of books on combinatorial geometry (Subplane Covered Nets, Foundations of Translation Planes, Handbook of Finite Translation Planes, and Combinatorics of Spreads and Parallelisms). Like its predecessors, this book will primarily deal with connections to the theory of derivable nets and translation planes in both the finite and infinite cases. Translation planes over non-commutative skewfields have not traditionally had a significant representation in incidence geometry, and derivable nets over skewfields have only been marginally understood. Both are deeply examined in this volume, while ideas of non-commutative algebra are also described in detail, with all the necessary background given a geometric treatment.
The book builds upon over twenty years of work concerning combinatorial geometry, charted across four previous books and is suitable as a reference text for graduate students and researchers. It contains a variety of new ideas and generalizations of established work in finite affine geometry and is replete with examples and applications.
商品描述(中文翻譯)
《導數幾何及其應用》是一本關於組合幾何的長期系列書籍中的第五部作品（前四部為《子平面覆蓋網》、《平移平面的基礎》、《有限平移平手冊》和《擴展與平行性的組合學》）。與其前作類似，本書主要探討可導網和平移平面理論在有限和無限情況下的聯繫。非交換性斜域上的平移平面在交點幾何中傳統上並未有顯著的代表性，而斜域上的可導網也僅被邊緣理解。本書深入探討了這兩者，同時詳細描述了非交換代數的概念，並對所有必要的背景進行幾何處理。
本書建立在超過二十年的組合幾何研究基礎上，涵蓋了四本前作的內容，適合作為研究生和研究人員的參考書籍。它包含了多種新想法和對有限仿射幾何中既有工作的概括，並充滿了例子和應用。
作者簡介
Norman L. Johnson is an Emeritus Professor (2011) at the University of Iowa where he has had ten Ph.D. students. He received his BA from Portland State University, MA from Washington State University and Ph.D. also at Washington State University as a student of T.G. Ostrom. He has written 580 research items including articles, books, and chapters available on Researchgate.net. Additionally, he has worked with approximately 40 coauthors and is a previous Editor for International Journal of Pure and Applied Mathematics and Note di Matematica. Dr. Johnson plays ragtime piano, enjoys studying languages and 8-ball pool.
作者簡介(中文翻譯)
諾曼·L·約翰遜（Norman L. Johnson）是愛荷華大學的名譽教授（2011年），他指導過十位博士生。他在波特蘭州立大學獲得學士學位，在華盛頓州立大學獲得碩士學位，並在華盛頓州立大學獲得博士學位，指導教授為T.G. Ostrom。他撰寫了580篇研究項目，包括文章、書籍和章節，這些作品可在Researchgate.net上找到。此外，他與約40位合著者合作過，並曾擔任《國際純數學與應用數學期刊》（International Journal of Pure and Applied Mathematics）和《數學筆記》（Note di Matematica）的編輯。約翰遜博士喜愛演奏拉格泰姆鋼琴，喜歡學習語言和打八球。
