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109 inequalities from the AwesomeMath summer program / Titu Andreescu and Adithya Ganesh.

By: Contributor(s): Material type: TextTextPublication details: Plano, TX : XYZ Press, ©2015.Description: 203 pages ; 27 cmISBN:
  • 9780988562288
Other title:
  • One hundred and nine inequalities from the AwesomeMath summer program
Subject(s): DDC classification:
  • 515.26 23 An558
Contents:
1. An introduction-- 2. The arithmetic-geometric mean inequality-- 3. The Cauchy-Schwarz inequality-- 4. Hoelder's inequality for sums-- 5. Nesbitt's inequality-- 6. The rearrangement and Chebyshev inequalities-- 7. Introductory problems--- 8. Advanced problems-- 9. Solutions to introductory problems-- 10. Solutions to advanced problems--
Summary: Intended as a resource for students in competitions, this book includes chapters on the Trivial Inequality, the Arithmetic-Geometric Mean Inequality (AM-GM), the Cauchy-Schwarz Inequality, Hölder's Inequality for Sums, Nesbitt's Inequality, and the Rearrangement and Chebyshev Inequalities, followed by 54 introductory and 55 advanced problems from math journals and contests and their complete solutions.
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1. An introduction--
2. The arithmetic-geometric mean inequality--
3. The Cauchy-Schwarz inequality--
4. Hoelder's inequality for sums--
5. Nesbitt's inequality--
6. The rearrangement and Chebyshev inequalities--
7. Introductory problems---
8. Advanced problems--
9. Solutions to introductory problems--
10. Solutions to advanced problems--

Intended as a resource for students in competitions, this book includes chapters on the Trivial Inequality, the Arithmetic-Geometric Mean Inequality (AM-GM), the Cauchy-Schwarz Inequality, Hölder's Inequality for Sums, Nesbitt's Inequality, and the Rearrangement and Chebyshev Inequalities, followed by 54 introductory and 55 advanced problems from math journals and contests and their complete solutions.

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