The author includes numerous glimpses of the function theory of several complex variables, which illustrate how autonomous this discipline has become. In addition to standard topics, readers will find Eisenstein
withaninterestinfunctiontheoryorfunctionalanalysis,andabackgroundroughlyequivalenttothefollowingtwelvechaptersofRudin'stextbookRealandComplexAnalysis[Rdn'87]:Chapters1-7(measureandintegration,LPspaces,basicHilbertandBanachspacetheory),and10-14(basicfunctiontheorythroughtheRiemannMappingTheorem).InthisbookIintroducethe...
As we have seen, many solids have linear elastic behavior followed by a change in the stress–strain response to a more flow-type behavior that will result in permanent material deformation when the loadings are removed. Plasticity theory can be a very complex study since it can include large...
We showed in a previous work that, not only simple reactions like A + B ⇋ C but also more complex reactions involving a two-step kinetic mechanism (e.g., “induced-fit mechanism”), could be addressed by kinITC (Burnouf et al., 2012). In this chapter, we will focus exclusively ...
This book gives a rigorous treatment of selected topics in classical analysis, with many applications and examples. The exposition is at the undergraduate level, building on basic principles of advanced calculus without appeal to more sophisticated techniques of complex analysis and Lebesgue integration....
Such basic ingredients and topics of quantum geometric flow information theory are elaborated using the formalism of density matrices and measurements with quantum channels for the evolution of quantum mechan- ical systems. Contents 1 Introduction . . . . . . . . . . . . . . . . . . ....
Special functions: generic properties in the light of Sturm-Liouville theory and complex analysis Special topics: 1. Introduction to Mathematica 2. Integral transforms: Fourier and Laplace transforms, 3. Essential statistics: Bayes theorem, binomial - Poisson - Gaussian distributions, central limit ...
K. thanks Michael Freedman and John Preskill for many inspiring discussions on the topics included in this book. We are grateful to Andrew Landahl for providing the solution to Problem 3.6 and pointing to some inconsistencies in the original manuscript. Among other people who have helped us to ...
What is still really missing, as announced above, is the combination, the integration of all that fine-grained accumulated knowledge, so that the principles of organization of those complex systems come to the surface. In other words, more global, holistic, approaches have to find their way ...
However, combination of both, SERS and RS spectra, can provide alternative and complementary information about hemeprotein-based samples and other analytes, even when embedded in complex biological matrix. Due to much higher Raman intensities, especially in the low-frequency range, SERS allows to ...