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Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal cases. It also provides a solution of Hartshorne's Conjecture on Complete Intersections for the class of quadratic manifolds and new short proofs of previously known results, using the modern...

The book constitutes an introduction to stochastic calculus, stochastic differential equations and related topics such as Malliavin calculus. On the other hand it focuses on the techniques of stochastic integration and calculus via regularization initiated by the authors. The definitions relies on a smoothing procedure  of the integrator process, they generalize the usual Itô and Stratonovich integrals for Brownian motion but the integrator could also not be a semimartingale and the integrand is allowed to be anticipating. The resulting calculus requires a simple formalism:...

Experimental Characterization, Predictive Mechanical and Thermal Modeling of Nanostructures and their Polymer Composite focuses on the recent observations and predictions regarding the size-dependent mechanical properties, material properties and processing issues of carbon nanotubes (CNTs) and other nanostructured materials. The book takes various approaches, including dedicated characterization methods, theoretical approaches and computer simulations, providing a detailed examination of the fundamental mechanisms governing the deviations of the properties of CNTs and other...

This volume contains refereed research or review papers presented at the 5th Seminar on Stochastic Processes, Random Fields and Applications, which took place at the Centro Stefano Franscini (Monte Verita) in Ascona, Switzerland, from May 29 to June 3, 2004. The seminar focused mainly on stochastic partial differential equations, stochastic models in mathematical physics, and financial engineering.

The book will be a valuable resource for researchers in stochastic analysis and professionals interested...