Mathematics for the physical sciences

The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity...

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Detalles Bibliográficos
Otros Autores: Copley, Leslie, author (author), Paulina Leśna-Szreter, editor (editor)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Warsaw, [Poland] ; Berlin, [Germany] : De Gruyter 2014
2014.
Edición:1st ed
Materias:
Ver en Biblioteca Universitat Ramon Llull:https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009427703506719
Tabla de Contenidos:
  • Front matter
  • Contents
  • Foreword
  • 1 Functions of a Complex Variable
  • 2 Cauchy's Theorem
  • 3 The Calculus of Residues
  • 4 Dispersion Representations
  • 5 Analytic Continuation
  • 6 Asymptotic Expansions
  • 7 Padé Approximants
  • 8 Fourier Series and Transforms
  • 9 Ordinary Linear Differential Equations
  • 10 Partial Differential Equations and Boundary Value Problems
  • 11 Special Functions
  • 12 Non-Homogeneous Boundary Value Problems: Green's Functions
  • 13 Integral Equations
  • Bibliography