User:Rkrish67/Books/Engineering Mathematics aeronautical 2

Engineering mathematics aeronautical engg 2

 * Special Functions:
 * Special function
 * Integral Transforms and Special Functions
 * Function space
 * Beta function
 * Ricci calculus
 * Gamma function
 * Cesàro summation
 * Bessel function
 * Struve function
 * Recurrence relation
 * Orthogonality
 * Orthogonal functions
 * Cylindrical harmonics
 * Hankel transform
 * Generalized Fourier series
 * Legendre function
 * Legendre polynomials


 * Functions of a complex variable:
 * Complex analysis
 * Analytic function
 * Domain coloring
 * Cauchy sequence
 * Harmonic conjugate
 * Harmonic function
 * Pluriharmonic function
 * Radó's theorem (harmonic functions)
 * Weakly harmonic function
 * Potential theory


 * Line integral
 * Line integral
 * Improper integral
 * Cauchy integral theorem
 * Cauchy integral formula
 * Schwarz integral formula
 * Complete Fermi–Dirac integral
 * Algebraic curve
 * Elliptic curve
 * Conjugate points
 * Removable singularity


 * Complex power series
 * Power series
 * Radius of convergence
 * Taylor series
 * Laurent series
 * Matrix function
 * Binomial series
 * Laurent polynomial


 * Residue
 * Residue
 * Residue theorem
 * Partial fraction
 * Riemann zeta function
 * Fundamental theorem of algebra
 * Fundamental theorem of linear algebra
 * Representation theorem
 * Fundamental theorem on homomorphisms
 * Maximum modulus principle


 * Conformal mapping
 * Conformal map
 * Carathéodory's theorem (conformal mapping)
 * Area theorem (conformal mapping)
 * Least squares conformal map
 * Liouville's theorem (conformal mappings)
 * Conformal geometry
 * Multipole expansion
 * Z-transform
 * Abel's test
 * Natural transformation
 * Möbius transformation
 * Minkowski space
 * Squeeze mapping
 * Differentiable manifold


 * Tensor analysis
 * Tensor
 * Tensor calculus
 * Mixed tensor
 * Tensor field
 * Pseudotensor
 * Tensors in curvilinear coordinates