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Olympiad-Caliber Problems

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Complex Numbers from A to ... Z

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Abstract

This chapter is a special feature of the book and it is an outstanding selection of genuine olympiad and other important mathematical contest problems solved using the methods and techniques already presented. The problems are organized into nine sections as follows : problems involving moduli and conjugates, algebraic equations and polynomials, connections between algebraic identities and geometric properties, geometric problems, trigonometric problems, problems involving the nth roots of unity, problems involving polygons, complex numbers and combinatorics, miscellaneous problems.

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Notes

  1. 1.

    Gheorghe Tzitzeica (1873–1939), Romanian mathematician, made important contributions in geometry.

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Authors and Affiliations

  1. Department of Science and Mathematics Education, The University of Texas at Dallas, Richardson, Texas, USA

    Titu Andreescu

  2. Department of Mathematics, Babeş-Bolyai University, Cluj-Napoca, Romania

    Dorin Andrica

Authors
  1. Titu Andreescu
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  2. Dorin Andrica
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Andreescu, T., Andrica, D. (2014). Olympiad-Caliber Problems. In: Complex Numbers from A to ... Z. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8415-0_5

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