Combinatorics

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  • Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations…

    Weyl Group Multiple Dirichlet Series - Type A Combinatorial Theory (AM-175)

    Annals of Mathematics Studies By Ben Brubaker, Daniel Bump, Solomon… Princeton University Press, July 2011 ISBN: 9781400838998 Mathematics, Combinatorics Language:  English
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  • This undergraduate textbook covers the key material for a typical first course in logic, in particular presenting a full mathematical account of the most important result in logic, the Completeness…
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    The Mathematics of Logic

    By Kaye, Richard W. Cambridge University Press, September 2007 ISBN: 9780511339981 Mathematics, Combinatorics Language:  English
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  • Dessins d'Enfants are combinatorial objects, namely drawings with vertices and edges on topological surfaces. Their interest lies in their relation with the set of algebraic curves defined over the…
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    The Grothendieck Theory of Dessins d'Enfants

    By Schneps, Leila Cambridge University Press, July 1994 ISBN: 9781139243582 Mathematics, Combinatorics Language:  English
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  • Here the authors formulate and explore a new axiom of set theory, CPA, the Covering Property Axiom. CPA is consistent with the usual ZFC axioms, indeed it is true in the iterated Sacks model and…
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    The Covering Property Axiom, CPA

    By Ciesielski, Krzysztof Cambridge University Press, August 2004 ISBN: 9780511208454 Mathematics, Combinatorics Language:  English
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  • This book addresses a gap in the model-theoretic understanding of valued fields that has, until now, limited the interactions of model theory with geometry. It contains significant developments in…
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    Stable Domination and Independence in Algebraically Closed Valued Fields

    By Haskell, Deirdre Cambridge University Press, November 2007 ISBN: 9780511367984 Mathematics, Combinatorics Language:  English
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  • Recursion theory - now a well-established branch of pure mathematics, having grown rapidly over the last 35 years - deals with the general (abstract) theory of those operations which we conceive as…
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    Recursion Theory, its Generalisations and Applications

    By Drake, F. R. Cambridge University Press, November 1980 ISBN: 9780511891977 Mathematics, Combinatorics Language:  English
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  • Algebra has moved well beyond the topics discussed in standard undergraduate texts on ¬ëmodern algebra¬í. Those books typically dealt with algebraic structures such as groups, rings and fields: still…
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    Quantum Groups

    By Street, Ross Cambridge University Press, January 2007 ISBN: 9780511267055 Mathematics, Algebra Language:  English
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  • The Annual European Meeting of the Association for Symbolic Logic, generally known as the Logic Colloquium, is the most prestigious annual meeting in the field. Many of the papers presented there are…
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    Logic Colloquium 2005

    By Dimitracopoulos, Costas Cambridge University Press, September 2007 ISBN: 9780511353024 Mathematics, Combinatorics Language:  English
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  • Free Probability Theory studies a special class of 'noncommutative'random variables, which appear in the context of operators on Hilbert spaces and in one of the large random matrices. Since its…
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    Lectures on the Combinatorics of Free Probability

    By Nica, Alexandru Cambridge University Press, September 2006 ISBN: 9780511893896 Mathematics, Algebra Language:  English
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  • Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of…

    Introduction to Ramsey Spaces (AM-174)

    By Todorcevic, Stevo rating of short cover   ( 1 customer rating) Princeton University Press, July 2010 ISBN: 9781400835409 Mathematics, Combinatorics Language:  English
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