Home / Our Books /  Engineering Books < EC Branch / ADVANCED ENGINEERING MATHEMATICS - II
×

More Books related to same category

ENGINEERING PHYSICS

Rs. 270

OPERATING SYSTEM for CS

Rs. 300

Real Time System

Rs. 230

VHDL

Rs. 220

Advance Topics in Operating Systems

Rs. 230

ADVANCED ENGINEERING MATHEMATICS - II

By Prof. K C Sarangi

Ratings | 0 Reviews

Rs. 250

×
×
×
×
×

Specifications of ADVANCED ENGINEERING MATHEMATICS - II

Book Details

  • 978-81-88870-79-0
  • English
  • 2019
  • Paper Back
  • -

Contents

  • Unit-1 Introduction: Objective, scope and outcome of the course.

     

    Unit-2 Complex Variable – Differentiation: Differentiation, Cauchy-Riemann equations, analytic functions, harmonic functions, finding harmonic conjugate; elementary analytic functions (exponential, trigonometric, logarithm) and their properties; Conformal mappings, Mobius transformations and their properties.

     

    Unit-3 Complex Variable - Integration: Contour integrals, Cauchy-Goursat theorem (without proof), Cauchy Integral formula (without proof), Liouville’s theorem and Maximum- Modulus theorem (without proof); Taylor’s series, zeros of analytic functions, singularities, Laurent’s series; Residues, Cauchy Residue theorem (without proof).

     

    Unit-4 Applications of complex integration by residues: Evaluation of definite integral involving sine and cosine. Evaluation of certain improper integrals.

     

    Unit-5 Special Functions: Legendre’s function, Rodrigues formula, generating function, Simple recurrence relations, orthogonal property. Bessel’s functions of first and second kind, generating function, simple recurrence relations, orthogonal property.

     

    Unit-6 Linear Algebra: Vector Spaces, subspaces, Linear independence, basis and dimension, Inner product spaces, Orthogonality, Gram Schmidt orthogonalization, characteristic polynomial, minimal polynomial, positive definite matrices and canonical forms, QR decomposition.