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109 Inequalities from the AwesomeMath Summer Program

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Table of Contents

  • An introduction
  • The arithmetic-geometric mean inequality
  • The Cauchy-Schwarz inequality
  • Hoelder's inequality for sums
  • Nesbitt's inequality
  • The rearrangement and Chebyshev inequalities
  • Introductory problems
  • Advanced problems
  • Solutions to introductory problems
  • Solutions to advanced problems

About the Author

Titu Andreescu, University of Texas at Dallas, Richardson, TX, USA.

Adithya Ganesh, Massachusetts Institute of Technology, Cambridge, MA, USA.


109 Inequalities from the AwesomeMath Summer Program lives up to its promise as "an instructive resource for students striving for success at national and international competitions."...[T]he problems form an excellent training regimen for mathematical inequalities and will help readers master the subject...It is an excellent resource and would be a valuable addition to a problem solver's library."
- Jack Chen, MAA Reviews

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