Book contents
- Frontmatter
- Contents
- Preface
- 1 Starting with Cauchy
- 2 The AM-GM Inequality
- 3 Lagrange's Identity and Minkowski's Conjecture
- 4 On Geometry and Sums of Squares
- 5 Consequences of Order
- 6 Convexity – The Third Pillar
- 7 Integral Intermezzo
- 8 The Ladder of Power Means
- 9 Hölder's Inequality
- 10 Hilbert's Inequality and Compensating Difficulties
- 11 Hardy's Inequality and the Flop
- 12 Symmetric Sums
- 13 Majorization and Schur Convexity
- 14 Cancellation and Aggregation
- Solutions to the Exercises
- Chapter Notes
- References
- Index
Index
Published online by Cambridge University Press: 05 April 2013
Book contents
- Frontmatter
- Contents
- Preface
- 1 Starting with Cauchy
- 2 The AM-GM Inequality
- 3 Lagrange's Identity and Minkowski's Conjecture
- 4 On Geometry and Sums of Squares
- 5 Consequences of Order
- 6 Convexity – The Third Pillar
- 7 Integral Intermezzo
- 8 The Ladder of Power Means
- 9 Hölder's Inequality
- 10 Hilbert's Inequality and Compensating Difficulties
- 11 Hardy's Inequality and the Flop
- 12 Symmetric Sums
- 13 Majorization and Schur Convexity
- 14 Cancellation and Aggregation
- Solutions to the Exercises
- Chapter Notes
- References
- Index
- Type
- Chapter
- Information
- The Cauchy-Schwarz Master ClassAn Introduction to the Art of Mathematical Inequalities, pp. 302 - 306Publisher: Cambridge University PressPrint publication year: 2004