A pathway to complex anaysis (Record no. 564624)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02002 a2200217 4500 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20210823100938.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 210819b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9789388347730 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | IIT Kanpur |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.9 |
| Item number | K96p |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Kumaresan, S. |
| 245 ## - TITLE STATEMENT | |
| Title | A pathway to complex anaysis |
| Statement of responsibility, etc | S. Kumaresan |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher | Techno World |
| Year of publication | 2021 |
| Place of publication | Kolkata |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | vii, 283p |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book is an honest attempt to establish a long-cherished belief that Complex Analysis is a fine meeting ground of analysis, geometry and topology. In the last five decades the curriculum has improved a lot and students in India have an exposure to real analysis, linear algebra, metric spaces and topology. Keeping the improved background of the students in mind, we develop the subject. The salient features of this book are: A careful treatment of argument and logarithms. Use of triangles and piecewise smooth paths in place of rectifiable paths. Geometric treatments of C-R equations, winding numbers and fractional linear transformations. A geometric treatment of analytic continuation explaining the subtleties to the beginner. The treatment of conformal property of holomorphic functions using the notion of oriented angles. Many insightful remarks which give a wider perspective to the readers and show them the `big picture'. We emphasize the central point of the Cauchy theory, viz., the existence of local primitives and that of the local power series expansion. We point out how the properties of the holomorphic functions are the local/global manifestations of the corresponding results for power series. Many students approach the subject "Complex Analysis" with a sense of wonder, mystery and awe. They are mystified by the infinite differentiability of `analytic’ functions and so-called multivalued functions. The book will demystify them. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Functions of complex variables |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematical analysis |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Collection code | Home library | Current library | Date acquired | Source of acquisition | Cost, normal purchase price | Full call number | Accession Number | Copy number | Cost, replacement price | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| TEXT | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 18/08/2021 | 123 | 196.00 | 515.9 K96p cop.5 | A185336 | copy 5 | 245.00 | Text Books | ||||
| TEXT | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 18/08/2021 | 123 | 196.00 | 515.9 K96p cop.6 | A185337 | Copy 6 | 245.00 | Text Books | ||||
| TEXT | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 18/08/2021 | 123 | 196.00 | 515.9 K96p cop.2 | A185333 | Copy 2 | 245.00 | Text Books | ||||
| TEXT | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 18/08/2021 | 123 | 196.00 | 515.9 K96p cop.7 | A185338 | Copy 7 | 245.00 | Text Books | ||||
| TEXT | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 18/08/2021 | 123 | 196.00 | 515.9 K96p cop.1 | A185332 | Copy 1 | 245.00 | Text Books | ||||
| TEXT | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 18/08/2021 | 123 | 196.00 | 515.9 K96p cop.10 | A185341 | Copy 10 | 245.00 | Text Books | ||||
| TEXT | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 18/08/2021 | 123 | 196.00 | 515.9 K96p cop.9 | A185340 | Copy 9 | 245.00 | Text Books | ||||
| TEXT | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 18/08/2021 | 123 | 196.00 | 515.9 K96p cop.4 | A185335 | Copy 4 | 245.00 | Text Books | ||||
| TEXT | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 18/08/2021 | 123 | 196.00 | 515.9 K96p cop.8 | A185339 | Copy 8 | 245.00 | Text Books | ||||
| TEXT | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 18/08/2021 | 123 | 196.00 | 515.9 K96p cop.3 | A185334 | Copy 3 | 245.00 | Text Books | ||||
| General Stacks | PK Kelkar Library, IIT Kanpur | PK Kelkar Library, IIT Kanpur | 07/05/2024 | 245.00 | 515.9 K96p cop.11 | GB2802 | Copy 11 | 245.00 | Books |