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Books on the topic 'Combinatorial identities'

Author: Grafiati
Published: 4 June 2021
Last updated: 30 January 2023

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1

1931-, Wilf Herbert S., and Zeilberger Doron, eds. A=B. Wellesley, Mass: A K Peters, 1996.

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2

Meurman, Arne. Annihilating fields of standard modules of Sl(2, C) ãnd combinatorial identities. Providence, RI: American Mathematical Society, 1999.

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3

Improved Bonferroni inequalities via abstract tubes: Inequalities and identities of inclusion-exclusion type. Berlin: Springer-Verlag, 2003.

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4

An invitation to q-series: From Jacobi's triple product identity to Ramanujan's "most beautiful identity". Singapore: World Scientific Pub Co., 2011.

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5

Farkas, Hershel M. Theta constants, Riemann surfaces, and the modular group: An introduction with applications to uniformization theorems, partition identities, and combinatorial number theory. Providence, R.I: American Mathematical Society, 2001.

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6

Flannery, D. L. (Dane Laurence), 1965-, ed. Algebraic design theory. Providence, R.I: American Mathematical Society, 2011.

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7

Alladi, Krishnaswami, Frank Garvan, and Ae Ja Yee. Ramanujan 125: International conference to commemorate the 125th anniversary of Ramanujan's birth, Ramanujan 125, November 5--7, 2012, University of Florida, Gainesville, Florida. Providence, Rhode Island: American Mathematical Society, 2014.

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8

Jacques, Sauloy, and Singer Michael F. 1950-, eds. Galois theories of linear difference equations: An introduction. Providence, Rhode Island: American Mathematical Society, 2016.

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9

Giambruno, Antonio, Amitai Regev, and Mikhail Zaicev. Polynomial Identities and Combinatorial Methods. Taylor & Francis Group, 2003.

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10

Giambruno, Antonio, Amitai Regev, and Mikhail Zaicev. Polynomial Identities and Combinatorial Methods. Taylor & Francis Group, 2003.

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11

Giambruno, Antonio, Amitai Regev, and Mikhail Zaicev. Polynomial Identities and Combinatorial Methods. Taylor & Francis Group, 2003.

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12

A, Giambruno, Regev Amitai, and Zaicev Mikhail, eds. Polynomial identities and combinatorial methods. New York: Marcel Dekker, 2003.

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13

Giambruno, Antonio, Amitai Regev, and Mikhail Zaicev. Polynomial Identities and Combinatorial Methods. Taylor & Francis Group, 2003.

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14

Giambruno, Antonio, Amitai Regev, and Mikhail Zaicev. Polynomial Identities and Combinatorial Methods. Taylor & Francis Group, 2003.

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15

Tanasa, Adrian. Combinatorial Physics. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192895493.001.0001.

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After briefly presenting (for the physicist) some notions frequently used in combinatorics (such as graphs or combinatorial maps) and after briefly presenting (for the combinatorialist) the main concepts of quantum field theory (QFT), the book shows how algebraic combinatorics can be used to deal with perturbative renormalisation (both in commutative and non-commutative quantum field theory), how analytic combinatorics can be used for QFT issues (again, for both commutative and non-commutative QFT), how Grassmann integrals (frequently used in QFT) can be used to proCve new combinatorial identities (generalizing the Lindström–Gessel–Viennot formula), how combinatorial QFT can bring a new insight on the celebrated Jacobian conjecture (which concerns global invertibility of polynomial systems) and so on. In the second part of the book, matrix models, and tensor models are presented to the reader as QFT models. Several tensor model results (such as the implementation of the large N limit and of the double-scaling limit for various such tensor models, N being here the size of the tensor) are then exposed. These results are natural generalizations of results extensively used by theoretical physicists in the study of matrix models and they are obtained through intensive use of combinatorial techniques (this time mainly enumerative techniques). The last part of the book is dedicated to the recently discovered relation between tensor models and the holographic Sachdev–Ye–Kitaev model, model which has been extensively studied in the last years by condensed matter and by high-energy physicists.
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16

Kanel-Belov, Alexei, Louis Halle Rowen, and Yakov Karasik. Computational Aspects of Polynomial Identities. Taylor & Francis Group, 2019.

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17

Computational Aspects of Polynomial Identities (Research Notes in Mathematics). AK Peters, 2005.

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18

Gould, Henry W., and Jocelyn Quaintance. Combinatorial Identities for Stirling Numbers: The Unpublished Notes of H W Gould. World Scientific Publishing Co Pte Ltd, 2015.

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19

Kanel-Belov, Alexei, Louis Halle Rowen, and Yakov Karasik. Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition. Taylor & Francis Group, 2015.

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20

Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition. Taylor & Francis Group, 2015.

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21

Kanel-Belov, Alexei, Louis Halle Rowen, and Yakov Karasik. Computational Aspects of Polynomial Identities: Volume l, Kemer's Theorems, 2nd Edition. Taylor & Francis Group, 2015.

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22

Zhou, Xing. Practice by Subject : Binomial Expansion and Combinatorial Identities: Math for Gifted Students. Independently Published, 2019.

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23

1939-, Berndt Bruce C., ed. Ramanujan's forty identities for the Rogers-Ramanujan functions. Providence, RI: American Mathematical Society, 2007.

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24

Dohmen, Klaus. Improved Bonferroni Inequalities Via Abstract Tubes: Inequalities and Identities of Inclusion-Exclusion Type. Springer London, Limited, 2003.

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25

Ramanujan's Forty Identities for the Rogers-ramanujan Functions (Memoirs of the American Mathematical Society). Amer Mathematical Society, 2007.

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26

Pierrepont, Alexandre. The Salmon of Wisdom. Edited by George E. Lewis and Benjamin Piekut. Oxford University Press, 2015. http://dx.doi.org/10.1093/oxfordhb/9780195370935.013.28.

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This chapter scrutinizes the universe of representations of creative musicians, especially in the combinatorial and transformative dynamics of the jazzistic field. The poetics of improvisation encompasses both analytical analogical thought, through a dialogic treatment of oppositions rendered complementary, while allowing the discovery and practice of one’s own plurality: one’s self and self’s other. For improvisers, a continuum of multiple meanings may be played out in and around oneself, without abdicating clarity of conscience or the acuity of contexts and structures. In the act of improvisation, placing oneself in streams of unconsciousness and hyperconsciousness, as well as double and multiple consciousness, poses critical questions around the changing nature of identities and alterities.
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27

Cicuta, Giovanni, and Luca Molinari. Two-matrix models and biorthogonal polynomials. Edited by Gernot Akemann, Jinho Baik, and Philippe Di Francesco. Oxford University Press, 2018. http://dx.doi.org/10.1093/oxfordhb/9780198744191.013.15.

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This article considers two cases of two-matrix models that are amenable to biorthogonal polynomials: Itzykson-Zuber interaction and Cauchy interaction. The features and applications of the biorthogonal polynomials relevant to either case are discussed, but first the article provides an overview of chain-matrix models. It then describes the Itzykson-Zuber Hermitian two-matrix model and the Christoffel–Darboux identities, along with the spectral curve. It also examines the so-called mixed correlation functions that are involved in the combinatorial applications of the two-matrix model before concluding with an analysis of the Cauchy two-matrix model, which in a ‘complication scale’ turns out to lie in between the one-matrix model and the Itzykson-Zuber two-matrix model.
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28

Marseken, Susan F., Miriam T. Timpledon, and Lambert M. Surhone, eds. Ring of Symmetric Functions: Algebra, Algebraic Combinatorics, Symmetric Polynomial, Representation Theory of the Symmetric Group, Polynomial Ring, Elementary Symmetric Polynomial, Newton's Identities. Betascript Publishers, 2010.

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