This book presents methods of solving problems in three areas of classical elementary mathematics: Equations & systems of equations of various kinds, algebraic inequalities, & elementary number theory, in particular divisibility & diophantine equations. In each topic, brief theo…
by Koskela, Pekka, Hajłasz, Piotr
fromMemoirs of the American Mathematical Society
This memoir describes a new way of looking at the classical inequalities. The most famous such results, (those of Hilbert, Hardy, and Copson) may be interpreted as inclusion relationships, ℓ[superscript italic]p [subset equality symbol] [italic capital]Y, between certain (Banach…
This memoir describes a new way of looking at the classical inequalities. The most famous such results, (those of Hilbert, Hardy, and Copson) may be interpreted as inclusion relationships, ℓ[superscript italic]p [subset equality symbol] [italic capital]Y, between certain (Banach…
Although they play a fundamental role in nearly all branches of mathematics, inequalities are usually obtained by ad hoc methods rather than as consequences of some underlying ""theory of inequalities."" For certain kinds of inequalities, the notion of majorization leads to such…
