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| fixed length control field |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
230831b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9783030545352 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.9 |
| Item number |
BEA |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Beals, Richard |
| 245 ## - TITLE STATEMENT |
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| Title |
Explorations in complex functions |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
2020 |
| Place of publication, distribution, etc |
Cham : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xvi, 353 p. ; |
| Other physical details |
ill., |
| Dimensions |
24 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
49.99 |
| Price type code |
EUR |
| Unit of pricing |
94.90 |
| 490 ## - SERIES STATEMENT |
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| Series statement |
Graduate texts in mathematics, |
| Volume number/sequential designation |
287 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
This textbook explores a selection of topics in complex analysis. From core material in the mainstream of complex analysis itself, to tools that are widely used in other areas of mathematics, this versatile compilation offers a selection of many different paths. Readers interested in complex analysis will appreciate the unique combination of topics and connections collected in this book. Beginning with a review of the main tools of complex analysis, harmonic analysis, and functional analysis, the authors go on to present multiple different, self-contained avenues to proceed. Chapters on linear fractional transformations, harmonic functions, and elliptic functions offer pathways to hyperbolic geometry, automorphic functions, and an intuitive introduction to the Schwarzian derivative. The gamma, beta, and zeta functions lead into L-functions, while a chapter on entire functions opens pathways to the Riemann hypothesis and Nevanlinna theory. Cauchy transforms give rise to Hilbert and Fourier transforms, with an emphasis on the connection to complex analysis. Valuable additional topics include Riemann surfaces, steepest descent, tauberian theorems, and the Wiener–Hopf method. Showcasing an array of accessible excursions, Explorations in Complex Functions is an ideal companion for graduate students and researchers in analysis and number theory. Instructors will appreciate the many options for constructing a second course in complex analysis that builds on a first course prerequisite; exercises complement the results throughout. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Bohr-Caratheodory theorem |
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Cauchy-Riemann equation |
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Euler reflection formula |
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| Topical term or geographic name as entry element |
Hardy-Ramanujan partition function theorem |
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| Topical term or geographic name as entry element |
Karamata tauberian theorem |
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| Topical term or geographic name as entry element |
Lalesco problem |
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| Topical term or geographic name as entry element |
Mapping theorem |
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| Topical term or geographic name as entry element |
Paley-Fischer theorem |
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| Topical term or geographic name as entry element |
Tauberian theorem |
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| Topical term or geographic name as entry element |
Uniformization theorem |
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| Topical term or geographic name as entry element |
Borel-Carathesdory theorem |
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| Topical term or geographic name as entry element |
Riesz-Fischer theorem |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Wong, Roderick S. C. |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |