Description

Book Synopsis


Trade Review
[T]his is an extremely valuable textbook for graduate classical complex analysis in one variable both for lecturers and students not following the increasing standardization trends of student's curricula... The presentation style is excellent, a very well contemplated pleasant reading throughout, rich in interesting outlooks. I recommend this work to all the mathematical libraries at universities as an extremely helpful material in teaching or studying complex analysis." - László L. Stachó, ACTA Sci. Math.

Table of Contents
  • From i to z: the basics of complex analysis
  • From z to the Riemann mapping theorem: some finer points of basic complex analysis
  • Harmonic functions
  • Riemann surfaces: definitions, examples, basic properties
  • Analytic continuation, covering surfaces, and algebraic functions
  • Differential forms on Riemann surfaces
  • The theorems of Riemann-Roch, Abel, and Jacobi
  • Uniformization
  • Review of some basic background material
  • Bibliography
  • Index

A Course in Complex Analysis and Riemann Surfaces

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    A Hardback by Wilhelm Schlag

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      View other formats and editions of A Course in Complex Analysis and Riemann Surfaces by Wilhelm Schlag

      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 8/30/2014 12:00:00 AM
      ISBN13: 9780821898475, 978-0821898475
      ISBN10: 0821898477
      Also in:
      Mathematics Calculus and mathematical analysis

      Description

      Book Synopsis


      Trade Review
      [T]his is an extremely valuable textbook for graduate classical complex analysis in one variable both for lecturers and students not following the increasing standardization trends of student's curricula... The presentation style is excellent, a very well contemplated pleasant reading throughout, rich in interesting outlooks. I recommend this work to all the mathematical libraries at universities as an extremely helpful material in teaching or studying complex analysis." - László L. Stachó, ACTA Sci. Math.

      Table of Contents
      • From i to z: the basics of complex analysis
      • From z to the Riemann mapping theorem: some finer points of basic complex analysis
      • Harmonic functions
      • Riemann surfaces: definitions, examples, basic properties
      • Analytic continuation, covering surfaces, and algebraic functions
      • Differential forms on Riemann surfaces
      • The theorems of Riemann-Roch, Abel, and Jacobi
      • Uniformization
      • Review of some basic background material
      • Bibliography
      • Index

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