| 000 | 02405nam a22003137a 4500 | ||
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| 003 | CSPC | ||
| 005 | 20240530171229.0 | ||
| 008 | 240530s2022 flua b 001 0 eng d | ||
| 020 | _a9780367409784 | ||
| 040 |
_aCSPC _beng _cCSPC |
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| 050 | 4 |
_aQA331.7 _b.E53 2022 |
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| 082 | 0 | 4 |
_223 _a515.9 _bEi27i |
| 100 | 1 |
_aEiderman, Vladimir, _d1952- _eauthor. |
|
| 245 | 1 | 3 |
_aAn introduction to complex analysis and the laplace transform / _cVladimir Eiderman. |
| 264 | 1 |
_aBoca Raton, Florida : _bCRC Press, _c2022. |
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| 300 |
_axiv, 384 pages : _billustrations ; _c24 cm. |
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| 336 |
_2rdacontent _atext |
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| 337 |
_2rdamedia _aunmediated |
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| 338 |
_2rdacarrier _avolume |
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| 490 | 1 | _aTextbooks in mathematics | |
| 504 | _aIncludes bibliographical references and index. | ||
| 520 | _aThe aim of this comparatively short textbook is a sufficiently full exposition of the fundamentals of the theory of functions of a complex variable to prepare the student for various applications. Several important applications in physics and engineering are considered in the book. This thorough presentation includes all theorems (with a few exceptions) presented with proofs. No previous exposure to complex numbers is assumed. The textbook can be used in one-semester or two-semester courses. In one respect this book is larger than usual, namely in the number of detailed solutions of typical problems. This, together with various problems, makes the book useful both for self- study and for the instructor as well. A specific point of the book is the inclusion of the Laplace transform. These two topics are closely related. Concepts in complex analysis are needed to formulate and prove basic theorems in Laplace transforms, such as the inverse Laplace transform formula. Methods of complex analysis provide solutions for problems involving Laplace transforms. Complex numbers lend clarity and completion to some areas of classical analysis. These numbers found important applications not only in the mathematical theory, but in the mathematical descriptions of processes in physics and engineering. | ||
| 650 | 0 | _aFunctions of complex variables. | |
| 650 | 0 | _aMathematical analysis. | |
| 650 | 0 | _aLaplace transformation. | |
| 830 | 0 | _aTextbooks in mathematics | |
| 942 |
_2ddc _cBK _h515.9 _iEi27i _kCIR _m2022 _n0 |
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| 999 |
_c27753 _d27753 |
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