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" Polynomial methods in combinatorics / "
Larry Guth.
Document Type
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BL
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Record Number
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850262
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Main Entry
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Guth, Larry,1977-
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Title & Author
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Polynomial methods in combinatorics /\ Larry Guth.
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Publication Statement
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Providence, Rhode Island :: American Mathematical Society,, [2016]
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Series Statement
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University lecture series ;; volume 64
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Page. NO
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ix, 273 pages :: illustrations ;; 26 cm.
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ISBN
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1470428903
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: 9781470428907
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9781470432140
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Bibliographies/Indexes
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Includes bibliographical references.
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Contents
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Introduction -- Fundamental examples of the polynomial method -- Why polynomials? -- Polynomial method in error-correcting codes -- On polynomials and linear algebra in combinatorics -- Bezout theorem -- Incidence geometry -- Incidence geometry in three dimensions -- Partial symmetrics -- Polynomial partitioning -- Combinatoral structure, algebraic structure, and geometric structure -- An incidence bound for lines in three diemnsions -- Ruled surfaces and projection theory -- Polynomial method in differential geometry -- harmonic analysis and the Kakeya problem -- Polynomial method in number theory.
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Subject
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Combinatorial geometry.
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Subject
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Geometry, Algebraic.
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Subject
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Polynomials.
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Subject
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Algebraische Geometrie
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Subject
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Combinatorial geometry.
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Subject
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Combinatorics-- Extremal combinatorics-- None of the above, but in this section.
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Subject
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Geometry, Algebraic.
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Subject
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Kombinatorik
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Subject
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Kombinatorische Geometrie
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Subject
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Polynom
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Subject
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Polynomials.
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Dewey Classification
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511/.66
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LC Classification
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QA167.G88 2016
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NLM classification
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05D99msc
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05D99.msc
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