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| 001 | 978-3-031-79176-5 | ||
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_a10.1007/978-3-031-79176-5 _2doi |
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_aWillms, Allan R. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _983841 |
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| 245 | 1 | 2 |
_aA First Course in Complex Analysis _h[electronic resource] / _cby Allan R. Willms. |
| 250 | _a1st ed. 2022. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2022. |
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| 300 |
_aIV, 237 p. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 490 | 1 |
_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 |
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| 505 | 0 | _aPreface -- Acknowledgments -- Basics of Complex Numbers -- Functions of a Complex Variable -- Differentiation -- Contour Integration -- Cauchy Theory -- Series -- Residues -- Conformal Mapping -- Author's Biography -- Index. | |
| 520 | _aThis book introduces complex analysis and is appropriate for a first course in the subject at typically the third-year University level. It introduces the exponential function very early but does so rigorously. It covers the usual topics of functions, differentiation, analyticity, contour integration, the theorems of Cauchy and their many consequences, Taylor and Laurent series, residue theory, the computation of certain improper real integrals, and a brief introduction to conformal mapping. Throughout the text an emphasis is placed on geometric properties of complex numbers and visualization of complex mappings. | ||
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_iPrinted edition: _z9783031791819 |
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_aSynthesis Lectures on Mathematics & Statistics, _x1938-1751 _983845 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-79176-5 |
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