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* * * FreeScience.info Newsletter Number 79 18-07-11 * * *

Book :Higher Topos Theory
Contents: An Overview of Higher Category Theory; Fibrations of Simplicial Sets; The 1-Category of infinite-Categories; Limits and Colimits; Presentable and Accessible infinite-Categories; infinte-Topo. . . . .
Book :Workbook in Higher Algebra
Contents: Group Theory; Field and Galois Theory; Elementary Factorization Theory; Dedekind Domains; Module Theory; Ring Structure Theory; Tensor Products; Zornís Lemma and some Applications.
Book :Higher Algebra
Contents:Stable infinite-Categories; infinite-Operads; Algebras and Modules over infinte-Operads; Associative Algebras and Their Modules; Little Cubes and Factorizable Sheaves; Algebraic Structures on. . . . .
Book :Image Segmentation
It was estimated that 80% of the information received by human is visual. Image processing is evolving fast and continually. During the past 10 years, there has been a significant research increase in. . . . .
Book :Beyond partial differential equations : A course on linear and quasi-linear abstract hyperbolic evolution equations
This course introduces the use of semigroup methods in the solution of linear and nonlinear (quasi-linear) hyperbolic partial differential equations, with particular application to wave equations and. . . . .
Contents: Morita equivalence; Localization and Goldie's theorem; Central simple algebras and the Brauer group; Maximal orders; Irreducible representations; Growth of algebras.
Book :An Introduction to Algebraic Number Theory
Contents: Algebraic numbers and algebraic integers; Ideals; Ramification theory; Ideal class group and units; p-adic numbers; Valuations;p-adic fields.
Book :Algebraic methods
Contents: Group theory; Ring theory Field theory; Galois theory.
Book :Optoelectronic Devices and Properties
Optoelectronic devices impact many areas of society, from simple household appliances and multimedia systems to communications, computing, spatial scanning, optical monitoring, 3D measurements and med. . . . .
Book :Nonstandard Analysis
This book is concerned with an attempt to introduce the infinitesimals and the other Ďnonstandardí numbers in a naive, simpleminded way. Nevertheless, the resulting theory is hoped to be mathematica. . . . .
Book :Evolutionary Algorithms
Evolutionary algorithms are successively applied to wide optimization problems in the engineering, marketing, operations research, and social science, such as include scheduling, genetics, material se. . . . .
Book :introduction to equations from mathematical physics
Contents: Wave equations; Heat equations; Laplace equation; Method of Characteristic lines; Duhamel principle; Method of separation of variables; Laplace transform; Fourier transform; Fundamental solu. . . . .
Book :Ricci-Hamilton flow on surfaces: lectures on works of R.Hamilton and G.Perelman
Contents: Ricci-Hamilton flow on surfaces; Bartz-Struwe-Ye estimate; Hamiltonís another proof on S^2; Perelmanís W-functional and its applications; Appendix A: Ricci-Hamilton flow on Riemannian manifo. . . . .
The main goal of these lectures will be to explain the representability of moduli space abelian varieties with polarization, endomorphism and level structure, due to Mumford [GIT] and the description. . . . .
Book :Introduction to Shimura Varieties
This is an introduction to the theory of Shimura varieties, or, in other words, to the arithmetic theory of automorphic functions and holomorphic automorphic forms.

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