- Preface to 'Means and their Inequalities'. Preface to the Handbook. Basic References.
- Notations. 1. Referencing. 2. Bibliographic References. 3. Symbols for some Important Inequalities. 4. Numbers, Sets and Set Functions. 5. Intervals. 6. n-tuples. 7. Matrices. 8. Functions. 9. Various. A List of Symbols. An Introductory Survey.
- I: Introduction. 1. Properties of Polynomials. 2. Elementary Inequalities. 3. Properties of Sequences. 4. Convex Functions.
- II: The Arithmetic, Geometric and Harmonic Means. 1. Definitions and Simple Properties. 2. The Geometric Mean-Arithmetic Mean Inequality. 3. Refinements of the Geometric Mean-Arithmetic Mean Inequality. 4. Converse Inequalities. 5. Some Miscellaneous Results.
- III: The Power Means. 1. Definitions and Simple Properties. 2. Sums of Powers. 3. Inequalities between the Power Means. 4. Converse Inequalities. 5. Other Means Defined Using Powers. 6. Some Other Results.
- IV: Quasi-Arithmetic Means. 1. Definitions and Basic Properties. 2. Comparable Means and Functions. 3. Results of Rado Popoviciu Type. 4. Further Inequalities. 5. Generalizations of the Hölder and Minkowski Inequalities. 6. Converse Inequalities. 7. Generalizations of the Quasi-arithmetic Means.
- V: Symmetric Polynomial Means. 1. Elementary Symmetric Polynomials and Their Means. 2. The Fundamental Inequalities. 3.Extensions of S(r;s) of Rado Popoviciu Type. 4. The Inequalities of Marcus and Lopes. 5. Complete Symmetric Polynomial Means: Whiteley Means. 6. The Muirhead Means. 7. Further Generalizations.
- VI: Other Topics. 1. Integral Means and Their Inequalities. 2. Two Variable Means. 3. Compounding of Means. 4. Some General Approaches to Means. 5. Mean Inequalities for Matrices. 6. Axiomatization of Means.
Bibliography. Name Index. Index.