MARC details
| 000 -LEADER |
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| fixed length control field |
02184 a2200265 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
IN-KoSCC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20241214110848.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
210819b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789388347730 |
| Terms of availability |
Rs. 325.00 |
| 040 ## - CATALOGING SOURCE |
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| Transcribing agency |
IIT Kanpur |
| 041 ## - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.9 |
| Item number |
K96Pa |
| 100 10 - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Kumaresan, S. |
| 245 12 - TITLE STATEMENT |
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| Title |
A pathway to complex anaysis |
| Statement of responsibility, etc. |
S. Kumaresan |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Name of publisher, distributor, etc. |
Techno World |
| Date of publication, distribution, etc. |
2021 |
| Place of publication, distribution, etc. |
Kolkata |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
vii, 283 p. |
| 520 ## - SUMMARY, ETC. |
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| 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 |
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| Topical term or geographic name entry element |
Functions of complex variables |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematical analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics—Complex numbers |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Analytic functions |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematical analysis |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Advanced mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Koha item type |
Books |
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Suppress in OPAC |
No |
Koha