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International School for Advanced Studies 1

By Bruzzo, U.

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Book Id: WPLBN0003761293
Format Type: PDF eBook :
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Reproduction Date: 2015

Title: International School for Advanced Studies 1  
Author: Bruzzo, U.
Volume:
Language: English
Subject: Programming, Mathematics, Topology
Collections: Technical eBooks and Manuals Collection, Technical Books Center Collection
Historic
Publication Date:
2003
Publisher: Technical Books Center

Citation

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Bruzzo, U. (2003). International School for Advanced Studies 1. Retrieved from http://hawaiilibrary.net/


Description
Description: This note covers the following topics: Basic Algebra of Polynomials, Induction and the Well ordering Principle, Sets, Some counting principles, The Integers, Unique factorization into primes, Prime Numbers, Sun Ze's Theorem, Good algorithm for exponentiation, Fermat's Little Theorem, Euler's Theorem, Primitive Roots, Exponents, Roots, Vectors and matrices, Motions in two and three dimensions, Permutations and Symmetric Groups, Groups: Lagrange's Theorem, Euler's Theorem, Rings and Fields, Cyclotomic polynomials, Primitive roots, Group Homomorphisms, Cyclic Groups, Carmichael numbers and witnesses, More on groups, Finite fields, Linear Congruences, Systems of Linear Congruences, Abstract Sun Ze Theorem and Hamiltonian Quaternions.

Table of Contents
TOC: Algebraic Topology - Introductory material - Singular homology theory - Introduction to sheaves and their cohomology - More homological algebra - Spectral sequences - Introduction to algebraic geometry - Complex manifolds and vector bundles - Divisors - Algebraic curves I - Algebraic curves II 117.

 

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