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The American Mathematical Monthly Volume 120, 2013 - Issue 10
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Original Articles

Linear Algebra via Complex Analysis

Alexander P. CampbellSchool of Mathematics and Statistics, The University of Sydney, NSW 2006, [email protected]View further author information
&
Daniel DanersSchool of Mathematics and Statistics, The University of Sydney, NSW 2006, [email protected]View further author information
Pages 877-892 | Published online: 13 Dec 2017

REFERENCES

  • H. Amann, J. Escher, Analysis I, Birkhäuser Verlag, Basel, 2005.
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  • E. Hille, Analytic Function Theory, Vol. 1, Ginn and Company, Boston, 1959.
  • E. Hille, R. S. Phillips, Functional Analysis and Semi-Groups, revised edition. American Mathematical Society, Providence, RI, 1957.
  • T. Kato, Perturbation Theory for Linear Operators, second edition. Springer-Verlag, Berlin, 1976.
  • R. R. London, H. P. Rogosinski, Decomposition theory in the teaching of elementary linear algebra, Amer. Math. Monthly 97 (1990) 478–485, http://dx.doi.org/10.2307/2323830.
  • A. R. Schep, A simple complex analysis and an advanced calculus proof of the fundamental theorem of algebra, Amer. Math. Monthly 116 (2009) 67–68.
  • A. E. Taylor, D. C. Lay, Introduction to Functional Analysis, second edition, Wiley, New York, 1980.

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