Complex Analysis and Differential Equations

  • Luis Barreira
  • Claudia Valls

Part of the Springer Undergraduate Mathematics Series book series (SUMS)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Complex Analysis

    1. Front Matter
      Pages 1-1
    2. Luis Barreira, Claudia Valls
      Pages 3-35
    3. Luis Barreira, Claudia Valls
      Pages 37-108
    4. Luis Barreira, Claudia Valls
      Pages 109-148
    5. Luis Barreira, Claudia Valls
      Pages 149-220
  3. Differential Equations

    1. Front Matter
      Pages 221-221
    2. Luis Barreira, Claudia Valls
      Pages 223-279
    3. Luis Barreira, Claudia Valls
      Pages 281-332
    4. Luis Barreira, Claudia Valls
      Pages 333-372
    5. Luis Barreira, Claudia Valls
      Pages 373-411
  4. Back Matter
    Pages 413-415

About this book


This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and partial differential equations.

The text is divided into two parts: part one focuses on complex analysis and part two on differential equations. Each part can  be read independently, so in essence this text offers two books in one. In the second part of the book, some emphasis is given to the application of complex analysis to differential equations. Half of the book consists of approximately 200 worked out problems, carefully prepared for each part of theory, plus 200 exercises of variable levels of difficulty.

Tailored to any course giving the first introduction to complex analysis or differential equations, this text assumes only a basic knowledge of linear algebra and differential and integral calculus. Moreover, the large number of examples, worked out problems and exercises makes this the ideal book for independent study.


Complex Analysis Fourier Analysis Ordinary Differential Equations Partial Differential Equations

Authors and affiliations

  • Luis Barreira
    • 1
  • Claudia Valls
    • 2
  1. 1.Instituto Superior Tecnico, Depto. MatematicaUniversidade Tecnica LisboaLisboaPortugal
  2. 2.Departamento de MatemáticaInstituto Superior TécnicoLisboaPortugal

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