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         Fundamental Theorem Of Algebra:     more detail
  1. The Fundamental Theorem of Algebra (Undergraduate Texts in Mathematics) by Benjamin Fine, Gerhard Rosenberger, 1997-06-20
  2. Constructive aspects of the fundamental theorem of algebra;: Proceedings of a symposium conducted at the IBM Research Laboratory, Zurich-Ruschlikon, Switzerland, June 5-7, 1967,
  3. Constructive Aspects of the Fundamental Theorem of Algebra by Bruno & Peter Henrici. Eds. Dejon, 1969
  4. Constructive Aspects of the Fundamental Theorem of Algebra by Bruno and Peter Henrici. Eds. Dejon, 1969
  5. Descent: An optimization point of view on different fields [An article from: European Journal of Operational Research] by J. Brinkhuis, 2007-08-16

81. Morera's Theorem.
Previous Generalization of Cauchy s Integral Contents Morera s theorem. Using this result we can prove the following converse to CauchyGoursat theorem
http://ndp.jct.ac.il/tutorials/complex/node37.html
Next: The theorems of Liouville Up: Integrals. Previous: Generalization of Cauchy's Integral Contents
Morera's Theorem.
In two variable Calculus, you learnt the following result: let and be two functions defined on the same simply connected domain . Suppose that and are continuous on the interior of and that, for every Jordan curve in , the following equation holds:
Then in Using this result we can prove the following converse to Cauchy-Goursat theorem: Proposition 5.6.1 Let be a function such that are continuous in a simply connected domain . Suppose that, for every Jordan curve in , the integral is equal to 0. Then is analytic on Another converse of Cauchy-Goursat theorem, stronger than Prop. is Morera's theorem: Theorem 5.6.2 (Morera) Let be a continuous function on an open simply connected domain . Assume that for every loop in , the integral is equal to 0. Then is analytic on Example 5.6.3
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The theorems of Liouville Up: Integrals. Previous: Generalization of Cauchy's Integral Contents Noah Dana-Picard 2004-01-26

82. Www.math.utsa.edu/ecz/l_a_m.html

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