| 期刊全稱(chēng) | Bicomplex Holomorphic Functions | | 期刊簡(jiǎn)稱(chēng) | The Algebra, Geometr | | 影響因子2023 | M. Elena Luna-Elizarrarás,Michael Shapiro,Adrian V | | 視頻video | http://file.papertrans.cn/186/185488/185488.mp4 | | 發(fā)行地址 | Presents a comprehensive study of the analysis and geometry of bicomplex numbers.Offers a fundamental reference work for the field of bicomplex analysis.Develops a solid foundation for potential new a | | 學(xué)科分類(lèi) | Frontiers in Mathematics | | 圖書(shū)封面 |  | | 影響因子 | .The purpose of this book is to develop the foundations of the theory of holomorphicity on the ring of bicomplex numbers. Accordingly, the main focus is on expressing the similarities with, and differences from, the classical theory of one complex variable. The result is an elementary yet comprehensive introduction to the algebra, geometry and analysis of bicomplex numbers..Around the middle of the nineteenth century, several mathematicians (the best known being Sir William Hamilton and Arthur Cayley) became interested in studying number systems that extended the field of complex numbers. Hamilton famously introduced the quaternions, a skew field in real-dimension four, while almost simultaneously James Cockle introduced a commutative four-dimensional real algebra, which was rediscovered in 1892 by Corrado Segre, who referred to his elements as bicomplex numbers. The advantages of commutativity were accompanied by the introduction of zero divisors, something thatfor a while dampened interest in this subject. In recent years, due largely to the work of G.B. Price, there has been a resurgence of interest in the study of these numbers and, more importantly, in the study of functions d | | Pindex | Book 2015 |
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