The Essence of Mathematics Through Elementary Problems

It is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the wo…

Advanced Problems in Mathematics - New Revised Edition Preparing for University

This new and expanded edition is intended to help candidates prepare for entrance examinations in mathematics and scientific subjects, including STEP (Sixth Term Examination Paper). STEP is an examination used by Cambridge Colleges for conditional offers in mathematics. They are also used by some other UK universities and many mathematics departments recommend that their applicants practice on …

Wave propagation analysis with boundary element method

Wave propagation analysis with boundary element method.

Three dimensional geophysical modelling From physics to numerical simulation

The main object of this thesis is to provide a comprehensive numerical tool forthe three-dimensional simulation of sedimentary basins [94]. Sedimentary basins, in particular salt basins, are the best places to find oil, natural gas and to store dangerous nuclear waste material. The low permeability of salt guarantees low water leakage which is the main concern for the safety of a nuclear waste …

On some axiomatic extensions of the monoidal T-norm based logic MTL

The scientific area this thesis belongs to is many-valued logics: this means logics in which, from the semantical point of view, we have “intermediate” truth-values, between 0 and 1 (which in turns are designated to represent, respectively, the “false” and the “true”). The classical logic (propositional, for simplicity) is based on the fact that every statement is true or false: thi…

On quasiconvex conditional maps

Quasiconvex analysis has important applications in several optimization problems in science, economics and in finance, where convexity may be lost due to absence of global risk aversion, as for example in Prospect Theory.

Exponential-type inqualities in Rn and applications to elliptic and biharmoni…

Adams’inequality [2] in its original form is nothing but the Trudinger-Moser inequality for Sobolev spaces involving higher order derivatives. In this Thesis we present Adams-type inequalities for unbounded domains in Rn and some applications to existence and multiplicity results for elliptic and biharmonic problems involving nonlinearities with exponential growth.

History of Mathematics Teaching and Learning

Mathematics Education; Learning; Teaching

Empirical Research in Statistics Education

Mathematics Education; Learning; Statistics

Street-Fighting Mathematics The Art of Educated Guessing and Opportunistic Pr…

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9780262514293

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