A complex analysis problem book/

Alpay, Daniel.

A complex analysis problem book/ Daniel Alpay - London: Springer, 2011. - x, 526 p. ; 24 cm.

Prologue.

I Complex numbers.
1 Complex numbers: algebra.

2 Complex numbers: geometry.

3 Complex numbers and analysis.

4. Remarks and generalizations: quaternions, etc.

II Functions of a complex variable.

5 C-differentiable functions.

6 Cauchy's theorem.

7 First applications.

8 Laurent expansions and applications.

9 Computations of definite integrals.

10 Harmonic functions.

11 Conformal mappings.

III Complements.

12 Some useful theorems.

13 Some topology.

References.

Index.

9783034800778


Numbers, Complex
Functions of complex variables
Mathematics
Analytic functions

515.7 / ALP/C
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