Inequalities : an approach through problems

• 作者： Venkatachala, B. J., author.
• 其他作者：
  • SpringerLink (Online service)
• 其他題名：
  • Texts and readings in mathematics ;
• 出版： Singapore : Springer Singapore :Imprint: Springer
• 版本：Second edition.
• 叢書名： Texts and readings in mathematics,volume 49
• 主題： Inequalities (Mathematics) , Mathematical analysis. , Problem solving. , Mathematics. , Mathematics, general.
• ISBN： 9789811087325 (electronic bk.)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Chapter 1. Some basic inequalities -- Chapter 2. Techniques for proving inequalities -- Chapter 3. Geometric inequalities -- Chapter 4. Applications involving inequalities -- Chapter 5. Problems on inequalities -- Chapter 6. Solutions to problems.
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• 摘要註: This book discusses about the basic topics on inequalities and their applications. These include the arithmetic mean-geometric mean inequality, Cauchy-Schwarz inequality, Chebyshev inequality, rearrangement inequality, convex and concave functions and Muirhead's theorem. The book contains over 400 problems with their solutions. A chapter on geometric inequalities is a special feature of this book. Most of these problems are from International Mathematical Olympiads and from many national mathematical Olympiads. The book is intended to help students who are preparing for various mathematical competitions. It is also a good source book for graduate students who are consolidating their knowledge of inequalities and their applications.
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