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Tools From Higher Algebra by Noga Alon pdf
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About this book :-
Tools From Higher Algebra written by
Noga Alon
In this book examples are the use of linear and multilinear algebra in the theory of designs and in extremal set theory, the use of finite groups in coding theory,
application of representation theory of the symmetric group for deriving combinatorial identities, and application of probability theory for obtaining asymptotic existence proofs of combinatorial structures; the use of convexity and linear programming in combinatorial optimization, and the use ot topological methods in the study of posets, convex polytopes and various extremal problems.
Book Detail :-
Title: Tools From Higher Algebra
Edition:
Author(s): Noga Alon
Publisher:
Series:
Year:
Pages: 42
Type: PDF
Language: English
ISBN:
Country: Israel
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About Author :-
The author Noga Alon from Department of Mathematics, Raymond and Beverly Sackler, Faculty of Exact Sciences, Tel Aviv University, Ramat-Aviv, Tel Aviv 69978, ISRAEL.
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Book Contents :-
Tools From Higher Algebra written by
Noga Alon
cover the following topics.
1. Introduction.
Explicit constructions:
2. Group theory and graphs with large girth.
3. Expanders and superconcentrators.
4. Character sums and pseudo-random graphs.
More mathematical tools:
5. Real varieties and sign patterns of polynomials.
6. The Chevalley-Warning theorem, Abelian groups and regular graphs.
7. More polynomials.
8. Hyperbolic geometry and triangulations of polytopes and polygons.
9. The Erd¨os-Mozer Conjecture and the hard Lefschetz Theorem.
Note:-
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