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

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.

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  • 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.

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書名 Inequalities
著作者等 Hardy, G. H.
Littlewood, John Edensor
Polya, George
Littlewood J.E.
Polya Georg
Hardy G. H.
シリーズ名 Cambridge mathematical library
出版元 Cambridge University Press
刊行年月 1988, c1952
版表示 2nd ed
ページ数 xii, 324 p.
大きさ 23 cm
ISBN 9780521358804
NCID BA0352654X
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言語 英語
出版国 イギリス