culinary 发表于 2025-3-21 16:16:09
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Methods from the Calculus,In this chapter we revisit some facts from mathematical analysis and show how these may be used to establish important inequalities. We begin by reviewing convergence of real number sequences and continuity of real functions of a single variable.Phagocytes 发表于 2025-3-22 08:35:07
Some Applications,The reader who has worked patiently through the mathematical content of the previous chapters should be comfortable dealing with the applications treated here. These topics were chosen for variety and are presented in no particular order (just as we might encounter them in practice).GLADE 发表于 2025-3-22 12:37:55
A Brief Introduction to Interval Analysis,Some major advances in mathematics have occurred through the extension of existing number systems. The natural numbers were extended to the real numbers, the real numbers to the complex numbers, and so on.猛击 发表于 2025-3-22 14:36:34
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Some Standard Inequalities,ld, pertain to functions, sequences, and integrals. We recall that integral inequalities are frequently deduced by establishing the corresponding result for series, writing it out for Riemann sums, and then implementing a limit passage. However, this is not the only method by which integral inequalities can be obtained.内疚 发表于 2025-3-23 00:19:39
Inequalities for Differential Equations,ish uniqueness and existence, along with other theoretical results pertaining to solution behavior. The purpose of this chapter is to touch on a few inequalities that play key roles in the study of differential equations.TOXIC 发表于 2025-3-23 03:54:28
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978-3-319-30770-1Springer International Publishing AG 2014