Inequalities - Rilegato

Hardy, G. H.; Littlewood, J. E.; Pólya, G.

Rilegato

ISBN 10: 0521052068 ISBN 13: 9780521052061

Casa editrice: Cambridge University Press, 1952

Riassunto

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.

Su questo libro

Recensione:

'In retrospect one sees that 'Hardy, Littlewood and Pólya' 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

Contenuti:

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.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1952
• ISBN 10: 0521052068
• ISBN 13: 9780521052061
• Rilegatura: Copertina rigida
• Numero di pagine: 336