Bicomplex holomorphic functions : (Record no. 200706)
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| 000 -LEADER | |
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| fixed length control field | 03091nam a22002897a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260609161237.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 260609b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783319248660 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783319248684 |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.9 LUN-B |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Luna-Elizarraras, M. Elena |
| 245 ## - TITLE STATEMENT | |
| Title | Bicomplex holomorphic functions : |
| Remainder of title | the algebra, geometry and analysis of bicomplex numbers |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cham, Heidelberg, New York : |
| Name of publisher | Birkhäuser, |
| Year of publication | 2015 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | viii, 231p. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Frontiers in Mathematics |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Presents a comprehensive study of the analysis and geometry of bicomplex numbers<br/>Offers a fundamental reference work for the field of bicomplex analysis<br/>Develops a solid foundation for potential new applications in relativity, dynamical systems and quantum mechanics |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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.<br/><br/>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 defined on the ring of bicomplex numbers, which mimic the behavior of holomorphic functions of a complex variable.<br/><br/>While the algebra of bicomplex numbers is a four-dimensional real algebra, it is useful to think of it as a “complexification” of the field of complex<br/><br/>numbers; from this perspective, the bicomplex algebra possesses the properties of a one-dimensional theory inside four real dimensions. Its rich analysis and innovative geometry provide new ideas and potential applications in relativity and quantum mechanics alike.<br/><br/>The book will appeal to researchers in the fields of complex, hypercomplex and functional analysis, as well as undergraduate and graduate students with an interest in one-or multidimensional complex analysis. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Functions |
| General subdivision | complex variables. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Shapiro, Michael. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Struppa, Daniele C. |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Vajiac, Adrian. |
| 856 ## - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://doi.org/10.1007/978-3-319-24868-4 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books and Monographs |
| Full call number | Accession Number | Koha item type | Lost status | Damaged status | Permanent Location | Current Location | Shelving location | Date acquired | Source of acquisition |
|---|---|---|---|---|---|---|---|---|---|
| 515.9 LUN-B | 102910 | Books and Monographs | Central Library, NIT Jalandhar | Central Library, NIT Jalandhar | General Stacks | 03.06.2026 | New Delhi, Shankar's Book Agency Pvt. Ltd. |