A classic of mathematical literature, this is a comprehensive study of the inequalities used throughout mathematics. It presents both the statement and proof of all the standard inequalities of analysis. It has had a major impact on the trend of research in the last few decades.
This classic of the mathematical literature forms a comprehensive study of the inequalities used throughout mathematics. First published in 1934, it presents clearly and exhaustively both the statement and proof of all the standard inequalities of analysis. The authors were well known for their powers of exposition and were able here to make the subject accessible to a wide audience of mathematicians.
'In retrospect one sees that 'Hardy, Littlewood and Polya' has been one of the most important books in analysis in the last few decades. It had an impact on the trend of research and is still influencing it. In looking through the book now one realises how little one would like to change the existing text.' A. Zygmund, Bulletin of the AMS
Table of Contents
1. Introduction; 2. Elementary mean values; 3. Mean values with an arbitrary function and the theory of convex functions; 4. Various applications of the calculus; 5. Infinite series; 6. Integrals; 7. Some applications of the calculus of variations; 8. Some theorems concerning bilinear and multilinear forms; 9. Hilbert's inequality and its analogues and extensions; 10. Rearrangements; Appendices; Bibliography.
Inequalities by G. H. Hardy
G. H. Hardy
Cambridge Mathematical Library
Used - Very Good
Cambridge University Press
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