Differential Calculus for Beginners

Cartan for Beginners: Differential Geometry via Moving Frames and Exterior Differential Systems

Quantum computing for beginners

The paper introduces the basic concepts and principles behind quantum computing and examines in detail Shor’s quantum algorithm for factoring very large numbers. Some basic methodological principles and guidelines for constructing quantum algorithms are stated. The aim is not to provide a formal exposition of quantum computing but to identify its novelty and potential use in tackling NP-hard pr...

Biotechnology for Beginners

NS Simulator for Beginners

NS-2 is an open-source discrete event network simulator which is widely used by both the research community as well as by the people involved in the standardization protocols of IETF. The goal of this book is twofold: on one hand to learn how to use the NS-2 simulator, and on the other hand, to become acquainted with and to understand the operation of some of the simulated objects using NS-2 si...

Braided differential calculus and quantum Schubert calculus

We provide a new realization of the quantum cohomology ring of a flag variety as a certain commutative subalgebra in the cross product of the Nichols-Woronowicz algebras associated to a certain Yetter-Drinfeld module over the Weyl group. We also give a generalization of some recent results by Y.Bazlov to the case of the Grothendieck ring of a flag variety of classical type. Résumé. Nous fournis...