Complex Variables and their Applications (Broché)

Anthony-D Osborne

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  • Addison Wesley

  • Paru le : 06/12/2001
  • 1 million de livres à découvrir
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An understanding of functions of a complex variable. together with the importance of their applications, form an essential part of the study of mathematics. Complex Variables and their Applications assumes as little background knowledge of the reader as is practically possible, a sound knowledge of calculus and basic real analysis being the only essential pre-requisites. With an emphasis on clear and careful explanation, the book covers ail the essential topics covered in a first course on Complex Variables, such as differentiation, integration and applications, Laurent series, residue theory and applications, and elementary conformal mappings. The reader is also introduced to the Schwarz-Christoffel transformation, Dirchlet problems, harmonic functions, analytic continuation, infinite products, asymptotic series and elliptic functions. Applications of complex variable theory to linear ordinary differential equations and integral transforms are also included.
    • Functions of a Complex Variable
    • Differentiation and the Cauchy-Riemann Equations
    • Integration, Cauchy's Theorems and Related Results
    • Infinite Series, Taylor Series and Laurent Series
    • The Residue Theorem and its Applications
    • Conformal Transformations
    • Linear Ordinary Differential Equations
    • Fourier and Laplace Transforms
    • Laplace's Equation and Other Linear Partial Differential Equations
    • Analytic Functions
    • Elliptic Functions
  • Date de parution : 06/12/2001
  • Editeur : Addison Wesley
  • ISBN : 0-201-34290-1
  • EAN : 9780201342901
  • Présentation : Broché
  • Nb. de pages : 454 pages
  • Poids : 0.675 Kg
  • Dimensions : 17,4 cm × 29,5 cm × 2,1 cm

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Complex Variables and their Applications
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