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Analytic Inequalities (Paperback, Softcover reprint of the original 1st ed. 1970)
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Analytic Inequalities (Paperback, Softcover reprint of the original 1st ed. 1970)
Series: Grundlehren der mathematischen Wissenschaften, 165
Expected to ship within 10 - 15 working days
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The Theory of Inequalities began its development from the time when
C. F. GACSS, A. L. CATCHY and P. L. CEBYSEY, to mention only the
most important, laid the theoretical foundation for approximative
meth ods. Around the end of the 19th and the beginning of the 20th
century, numerous inequalities were proyed, some of which became
classic, while most remained as isolated and unconnected results.
It is almost generally acknowledged that the classic work "Inequali
ties" by G. H. HARDY, J. E. LITTLEWOOD and G. POLYA, which appeared
in 1934, transformed the field of inequalities from a collection of
isolated formulas into a systematic discipline. The modern Theory
of Inequalities, as well as the continuing and growing interest in
this field, undoubtedly stem from this work. The second English
edition of this book, published in 1952, was unchanged except for
three appendices, totalling 10 pages, added at the end of the book.
Today inequalities playa significant role in all fields of
mathematics, and they present a very active and attractive field of
research. J. DIEUDONNE, in his book "Calcullnfinitesimal" (Paris
1968), attri buted special significance to inequalities, adopting
the method of exposi tion characterized by "majorer, minorer,
approcher." Since 1934 a multitude of papers devoted to
inequalities have been published: in some of them new inequalities
were discovered, in others classical inequalities, vere sharpened
or extended, various inequalities, vere linked by finding their
common source, while some other papers gave a large number of
miscellaneous applications."
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