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Secrets in inequalities / Pham Kim Hung.

By: Publication details: Romania : Gil, c2007.Description: 2vISBN:
  • 9789739417884 (v1)
  • 9786065000025 (v2)
Subject(s): DDC classification:
  • 23 H936 512.97
Contents:
V1: The basic Inequalities: 1. AM-GM Inequality.... 2. Cauchy-Schwarz and Holder inequalities... 3. Chebyshev Inequality... 4. Inequalities with Convex Functions... 5. Abel Formula and Rearrangement Inequality... 6. The Method of Balanced Coeffcients... 7. Derivative and Applications... 8. A note on symmetric inequalities... 9. Problems and Solutions... Glossary. V2: Advanced inequalities. 1. Analyzing Squares Method... 2. Mixing Variable Method... 3. Contradiction Method... 4. General Induction Method... 5. Method of using Classical Inequalities... 6. Collected Articles on Inequalities... 7. The Readers' Contributions... Glossary. Bibliography.
Summary: This book is strongly recommended for new presentation of inequalities, from the classical to the up to date ones, to pupils and teachers involved in math contests even in the hardest such competitions.Every topic in this book is described through various and numerous examples taken from many sources, especially from math contests around the world, from recent contests and book very lively and interesting to read for those who are involved in such activities, students and teachers from all over the world.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 512.97 H936 (Browse shelf(Opens below)) Available 135287
Books ISI Library, Kolkata 512.97 H936 (Browse shelf(Opens below)) Available 135288
Total holds: 0

v1: Basic inequalities.
v2: Advanced inequalities.

Includes bibliographical reference and glossary.

V1: The basic Inequalities:
1. AM-GM Inequality....
2. Cauchy-Schwarz and Holder inequalities...
3. Chebyshev Inequality...
4. Inequalities with Convex Functions...
5. Abel Formula and Rearrangement Inequality...
6. The Method of Balanced Coeffcients...
7. Derivative and Applications...
8. A note on symmetric inequalities...
9. Problems and Solutions...
Glossary.
V2: Advanced inequalities.
1. Analyzing Squares Method...
2. Mixing Variable Method...
3. Contradiction Method...
4. General Induction Method...
5. Method of using Classical Inequalities...
6. Collected Articles on Inequalities...
7. The Readers' Contributions...
Glossary.
Bibliography.

This book is strongly recommended for new presentation of inequalities, from the classical to the up to date ones, to pupils and teachers involved in math contests even in the hardest such competitions.Every topic in this book is described through various and numerous examples taken from many sources, especially from math contests around the world, from recent contests and book very lively and interesting to read for those who are involved in such activities, students and teachers from all over the world.

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