Complex Analysis & Calculus of Variations
, , ,
SYLLABUS- COMPLEX ANALYSIS & CALCULUS OF VARIATIONS, Section A
Complex Analysis
Analytic function. Cauchy-Riemann equations. Harmonic functions. Complex
integration. Cauchy's theorem. Cauchy's integral formula. Derivatives. Taylor's series.
Laurent's series. Liouville's theorem. Morera's theorem. Zeros and singularities. Poles
and residues. Cauchy's residue theorem. Contour integration. Rouche's theorem.
Hurwitz theorem. Jensen's theorem.
Section B
Expansion of simple functions in Fourier series. Fourier transform and its simple
properties.
Calculus of Variations
Functionals. Variation of a functional. Euler's equation. Case of several variables.
Natural boundary conditions. Variational derivative. Invariance of Eular's equation
under transformation of coordinates. fixed end point problem for n unknown
functions. Variational problem with subsidiary conditions.
Isoperimetric problem. Finite subsidiary conditions.
Complex Analysis
Analytic function. Cauchy-Riemann equations. Harmonic functions. Complex
integration. Cauchy's theorem. Cauchy's integral formula. Derivatives. Taylor's series.
Laurent's series. Liouville's theorem. Morera's theorem. Zeros and singularities. Poles
and residues. Cauchy's residue theorem. Contour integration. Rouche's theorem.
Hurwitz theorem. Jensen's theorem.
Section B
Expansion of simple functions in Fourier series. Fourier transform and its simple
properties.
Calculus of Variations
Functionals. Variation of a functional. Euler's equation. Case of several variables.
Natural boundary conditions. Variational derivative. Invariance of Eular's equation
under transformation of coordinates. fixed end point problem for n unknown
functions. Variational problem with subsidiary conditions.
Isoperimetric problem. Finite subsidiary conditions.
Տարի:
2021
Լեզու:
english
Էջեր:
305
ISBN:
B095CC32T4
Ֆայլ:
PDF, 8.05 MB
IPFS:
,
english, 2021
Amazon 
Barnes & Noble 
Bookshop.org
Ցանկանու՞մ եք գրախանութ ավելացնել: Խնդրում ենք կապնվել մեզ հետ support@z-lib.do միջոցով
File converter
Բացել որոնման արդյունքները
More benefits 
Հիմնական արտահայտություններ
Առնչվող հավաքածուներ
