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  3. Complex Analysis
  • Cited by 7
    • This textbook will transition to Cambridge Core on 6 July 2026. Please take a moment to export any annotations you may have created on the eTextbook before the move.
      • 2nd edition
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    • Publisher:
      Cambridge University Press
      Publication date:
      06 September 2018
      23 August 2018
      ISBN:
      9781108505468
      9781108436793
      DOI:
      https://doi.org/10.1017/9781108505468
      Dimensions:
      Weight & Pages:
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      0.82kg, 402 Pages
      • Subjects:
      Mathematics, Real and Complex Analysis
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    Subjects:
    Mathematics, Real and Complex Analysis
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    Book description

    This new edition of a classic textbook develops complex analysis from the established theory of real analysis by emphasising the differences that arise as a result of the richer geometry of the complex plane. Key features of the authors' approach are to use simple topological ideas to translate visual intuition to rigorous proof, and, in this edition, to address the conceptual conflicts between pure and applied approaches head-on. Beyond the material of the clarified and corrected original edition, there are three new chapters: Chapter 15, on infinitesimals in real and complex analysis; Chapter 16, on homology versions of Cauchy's theorem and Cauchy's residue theorem, linking back to geometric intuition; and Chapter 17, outlines some more advanced directions in which complex analysis has developed, and continues to evolve into the future. With numerous worked examples and exercises, clear and direct proofs, and a view to the future of the subject, this is an invaluable companion for any modern complex analysis course.

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