Advanced Mathematical Methods Scanned Premium Lecture Notes from Reputed Institutions and Faculties, Syllabus is Based on Anna University , Post Graduate M.E. Structural Engineering R2013 Regulations.
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CONTENT:
ADVANCED MATHEMATICAL METHODS
UNIT-1
LAPLACE TRANSFORM TECHNIQUES FOR PDE
UNIT-2
FOURIER TRANSFORM TECHNIQUES FOR PDES
UNIT-3
CALCULUS OF VARIATIONS
UNIT-4
CONFORMAL MAPPING AND APPLICATION
ADVANCED MATHEMATICAL METHODS
UNIT-1
LAPLACE TRANSFORM TECHNIQUES FOR PDE
Laplace transform pair
Transform of elementary function
Properties of Laplace transform
Transform of error function
Complementary error function
Transform of bessel’s function
Transform of unit step function
Inverse Laplace transform
Convolution theorem
Heaviside expansion theorem
Complex inversion formula
Solution of wave equation
UNIT-2
FOURIER TRANSFORM TECHNIQUES FOR PDES
Fourier integral representation
Periodic function
Properties of Fourier transform
Parsevals relation or parsevals identity
Transform of dirac function
Solution of wave equation
UNIT-3
CALCULUS OF VARIATIONS
Functionals
Isoperimetric
Direct method for vibrational problems
Functions of several variables
Geo desic
UNIT-4
CONFORMAL MAPPING AND APPLICATION
Fixed point (Invarient point)
Bilinear transformation
Schwarz christoffel transformation
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