| 000 | 03885nam a22005295i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-13067-0 | ||
| 003 | DE-He213 | ||
| 005 | 20240730163511.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 220930s2022 sz | s |||| 0|eng d | ||
| 020 |
_a9783031130670 _9978-3-031-13067-0 |
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_a10.1007/978-3-031-13067-0 _2doi |
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_a621 _223 |
| 100 | 1 |
_aNomura, Seiichi. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _978903 |
|
| 245 | 1 | 0 |
_aComplex Variables for Engineers with Mathematica _h[electronic resource] / _cby Seiichi Nomura. |
| 250 | _a1st ed. 2022. | ||
| 264 | 1 |
_aCham : _bSpringer International Publishing : _bImprint: Springer, _c2022. |
|
| 300 |
_aVIII, 172 p. 168 illus., 42 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aSynthesis Lectures on Mechanical Engineering, _x2573-3176 |
|
| 505 | 0 | _aFunctions of a Complex Variables -- Calculus of Functions -- Integration of Functions of a Complex Variables -- Series of Complex Variable Functions -- Residues -- Applications to Engineering Problems -- Introduction to Mathematica. | |
| 520 | _aComplex variable theory is attractive for engineers as it offers elegant approaches for certain types of differential equations in engineering including heat transfer, solid mechanics, and fluid mechanics. However, a gap exists between books written by mathematicians and books written by engineers in their specific fields. Naturally, mathematicians tend to emphasize rigorousness and consistency while less emphasizing applications. On the other hand, books written by engineers often jump directly to the specific topics assuming that the readers already have sufficient background of complex variables and the pathway from theory to the application is not clearly elucidated. This book closes the gap in the literature. providing a smooth transition from basic theory to the application is accomplished. Although it is not possible to cover all the topics in engineering exhaustively, the readers can at least find the logic of how and why complex variables are effective for some of the engineering problems. Another motivation for writing this book is to demonstrate that the readers can take advantage of a computer algebra system, Mathematica, to facilitate tedious algebra and visualize complex functions so that they can focus on principles instead of spending endless hours on algebra by hand. Unlike numerical tools such as MATLAB and FORTRAN, Mathematica can expand, differentiate, and integrate complex-valued functions symbolically. Mathematica can be used as a stand-alone symbolic calculator or a programming tool using the Wolfram Language. If Mathematica is not available locally, Wolfram Cloud Basic can be used online as a free service to execute Mathematica statements. | ||
| 650 | 0 |
_aMechanical engineering. _95856 |
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| 650 | 0 |
_aEngineering mathematics. _93254 |
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| 650 | 0 |
_aEngineering _xData processing. _99340 |
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| 650 | 0 |
_aMathematics. _911584 |
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| 650 | 1 | 4 |
_aMechanical Engineering. _95856 |
| 650 | 2 | 4 |
_aMathematical and Computational Engineering Applications. _931559 |
| 650 | 2 | 4 |
_aMathematics. _911584 |
| 710 | 2 |
_aSpringerLink (Online service) _978904 |
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| 773 | 0 | _tSpringer Nature eBook | |
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_iPrinted edition: _z9783031130663 |
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_iPrinted edition: _z9783031130687 |
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_iPrinted edition: _z9783031130694 |
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_aSynthesis Lectures on Mechanical Engineering, _x2573-3176 _978905 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-13067-0 |
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