Inequalities (Cambridge Mathematical Library)

JNC Academic Books Verified independent store

→

G. HardyCambridge University PressEdition: 2, 2/25/1988EAN 9780521358804, ISBN10: 0521358809Paperback, 338 pages, 22.9 x 15.2 x 2.2 cmLanguage: EnglishThis classic of the mathemati cal 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.1. Introduction2. Elementary mean values3. Mean values with an arbitrary function and the theory of convex functions4. Various applications of the calculus5. Infinite series6. Integrals7. Some applications of the calculus of variations8. Some theorems concerning bilinear and multilinear forms9. Hilbert's inequality and its analogues and extensions10. RearrangementsAppendicesBibliography. Show more