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Advanced engineering mathematics /

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Bibliographic Details
Main Author: O'Neil, Peter V. (Author)
Format: Book
Language:English
Published: Pacific Grove, CA : Thomson Brooks/Cole, [2003]
Edition:5th ed.
Subjects:
Engineering mathematics.
Mathématiques de l'ingénieur.
Table of Contents:
  • First-order differential equations
  • Second-order differential equations
  • The Laplace transform
  • Series solutions
  • Vectors and vector spaces
  • Matrices and systems of linear equations
  • Determinants
  • Eigenvalues, diagonalization, and special matrices
  • Systems of linear differential equations
  • Qualitative methods and systems of nonlinear differential equations
  • Vector differential calculus
  • Vector integral calculus
  • Fourier series
  • The Fourier integral and Fourier transforms
  • Special functions, orthogonal expansions, and wavelets
  • The wave equation
  • The heat equation
  • The potential equation
  • Canonical forms, existence and uniqueness of solutions, and well-posed problems
  • Geometry and arithmetic of complex numbers
  • Complex functions
  • Complex integration
  • Series representations of functions
  • Singularities and the residue theorem
  • Conformal mappings
  • Development of areas of mathematics
  • Biographical sketches.