by Ingrid Daubechies, Shannon Hughes
Publisher: Princeton University 2008
Number of pages: 454
This course is designed for those who haven't had college mathematics but would like to understand some of the mathematical concepts behind important modern applications. Topics: Cryptography; Error correction and compression; Probability and Statistics; Birth, Growth, Death and Chaos; Graph Theory; Voting and Social Choice.
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by Dave Benson - Cambridge University Press
An introduction to the subject of music and mathematics, which includes physics, psycho-acoustics, biology, and the history of science and digital technology. It covers the structure of the human ear, Fourier analysis, musical instruments, and more.
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The aim of this thesis is to developed an efficient procedure for the application of BEM to transient scalar wave propagation problems, investigating the coerciveness property of the related energy functional, avoiding the frequency domain analysis.
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Symmetry and Complex Networks are essential in many sciences. That is why these two themes have been unified here, whose intersection we are dealing with: in its first part, of fundamentals, and in its second part of applications, which are multiple.
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Topics: dimensional analysis and scaling; perturbation methods; the calculus of variations; the theory of partial differential equations; Sturm-Liouville theory; transform theory with applications; Hamiltonian theory and isoperimetric problems; etc.