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About Complex Analysis & Calculus of Variations
<span>SYLLABUS- COMPLEX ANALYSIS & CALCULUS OF VARIATIONS, Section A</span><br><span>Complex Analysis</span><br><span>Analytic function. Cauchy-Riemann equations. Harmonic functions. Complex</span><br><span>integration. Cauchy's theorem. Cauchy's integral formula. Derivatives. Taylor's series.</span><br><span>Laurent's series. Liouville's theorem. Morera's theorem. Zeros and singularities. Poles</span><br><span>and residues. Cauchy's residue theorem. Contour integration. Rouche's theorem.</span><br><span>Hurwitz theorem. Jensen's theorem.</span><br><span>Section B</span><br><span>Expansion of simple functions in Fourier series. Fourier transform and its simple</span><br><span>properties.</span><br><span>Calculus of Variations</span><br><span>Functionals. Variation of a functional. Euler's equation. Case of several variables.</span><br><span>Natural boundary conditions. Variational derivative. Invariance of Eular's equation</span><br><span>under transformation of coordinates. fixed end point problem for n unknown</span><br><span>functions. Variational problem with subsidiary conditions.</span><br><span>Isoperimetric problem. Finite subsidiary conditions.</span></br></br></br></br></br></br></br></br></br></br></br></br></br></br></br>
Detailed Information
| Author: | ,,, |
|---|---|
| Publication Year: | 2021 |
| Pages: | 305 |
| Language: | other |
| File Size: | 8.0497 |
| Format: | |
| Price: | FREE |
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