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Combinatorics : = the Rota way /

Rota, Gian-Carlo, (1932-1999.)

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Combinatorics : = the Rota way /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Combinatorics :/ Joseph P.S. Kung, Gian-Carlo Rota, Catherine H. Yan.
Reminder of title:	the Rota way /
Author:	Kung, Joseph P. S.
other author:	Rota, Gian-Carlo,
Published:	Cambridge, UK ;Cambridge University Press, : 2009.,
Description:	xii, 396 p. :ill. ;24 cm.
Series:	Cambridge mathematical library
Subject:	Combinatorial analysis. -
ISBN:	9780521883894 :

Combinatorics : = the Rota way /
Kung, Joseph P. S.

Combinatorics :the Rota way /Joseph P.S. Kung, Gian-Carlo Rota, Catherine H. Yan. - Cambridge, UK ;Cambridge University Press,2009. - xii, 396 p. :ill. ;24 cm. - Cambridge mathematical library. - Cambridge mathematical library..

Includes bibliographical references (p. 369-388) and index.

Sets, Functions, and Relations. Sets, valuations, and Boolean algebras --

Gian-Carlo Rota was one of the most original and colourful mathematicians of the 20th century. Written by two of his former students, this book is based on notes from his influential graduate courses and on face-to-face discussions.

ISBN: 9780521883894 :US99.00

LCCN: 2008037803

Nat. Bib. No.: GBA906361bnb

Nat. Bib. Agency Control No.: 014883716UkSubjects--Topical Terms:

523878
Combinatorial analysis.

LC Class. No.: QA164 / .K86 2009

Dewey Class. No.: 511/.6

Combinatorics : = the Rota way /
LDR:02971cam 2200385 a 450 001 872874
003 OCoLC
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008 100814s2009 enka b 001 0 eng
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015 $a GBA906343 $2 bnb
016 7 $a 014883716 $2 Uk
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020 $a 9780521883894 : $c US99.00
020 $a 052188389X
020 $a 9780521737944 (pbk.)
020 $a 052173794X (pbk.)
029 1 $a BWK $b L0814972
029 1 $a BWK $b L2814971
029 1 $a AU@ $b 000043367203
029 1 $a NZ1 $b 12899300
029 1 $a HEBIS $b 213537818
035 $a 00512376
040 $a DLC $c DLC $d BTCTA $d CDX $d YDXCP $d YDX $d BWKUK $d BWK $d UKM $d RCS $d OUP $d SHH $d HEBIS $d TTU $d EUM $d NDHU
049 $a FISA
050 0 0 $a QA164 $b .K86 2009
082 0 0 $a 511/.6 $2 22
100 1 $a Kung, Joseph P. S. $3 1041602
245 1 0 $a Combinatorics : $b the Rota way / $c Joseph P.S. Kung, Gian-Carlo Rota, Catherine H. Yan.
260 $a Cambridge, UK ; $a New York : $c 2009. $b Cambridge University Press,
300 $a xii, 396 p. : $b ill. ; $c 24 cm.
440 1 $a Cambridge mathematical library
504 $a Includes bibliographical references (p. 369-388) and index.
505 0 0 $t Sets, Functions, and Relations. Sets, valuations, and Boolean algebras -- $t Partially ordered sets -- $t Lattices -- $t Functions, partitions, and entropy -- $t Relations -- $t Matching Theory. What is matching theory? -- $t The marriage theorem -- $t Free and incidence matrices -- $t Submodular functions and independent matchings -- $t Rado's theorem on subrelations -- $t Doubly stochastic matrices -- $t The Gale-Ryser theorem -- $t Matching theory in higher dimensions -- $t Partially Ordered Sets and Lattices. M鋌bius functions -- $t Chains and antichains -- $t Sperner theory -- $t Modular and linear lattices -- $t Finite modular and geometric lattices -- $t Valuation rings and M鋌bius algebras -- $t Generating Functions and the Umbral Calculus. Generating functions -- dt Elementary umbral calculus -- $t Polynomial sequences of binomial type -- $t Sheffer sequences -- $t Umbral composition and connection matrices -- $t The Riemann zeta function -- $t Symmetric Functions and Baxter Algebras. Symmetric functions -- $t Distribution, occupancy, and the partition lattice -- $t Enumeration under a group action -- $t Baxter operators -- $t Free Baxter algebras -- $t Identities in Baxter algebras -- $t Symmetric functions over finite fields -- $t Historical remarks and further reading -- $t Determinants, Matrices, and Polynomials. Polynomials -- $t Apolarity -- $t Grace's theorem -- $t Multiplier sequences -- $t Totally positive matrices -- $t Exterior algebras and compound matrices -- $t Eigenvalues of totally positive matrices -- $t Variation decreasing matrices -- $t Polya frequency sequences -- $t Selected Solutions.
520 8 $a Gian-Carlo Rota was one of the most original and colourful mathematicians of the 20th century. Written by two of his former students, this book is based on notes from his influential graduate courses and on face-to-face discussions.
650 0 $a Combinatorial analysis. $3 523878
700 1 $a Rota, Gian-Carlo, $d 1932-1999. $3 1041600
700 1 $a Yan, Catherine H. $3 1041601
809 $p BOOK $d QA164 $e K86 $y 2009
830 0 $a Cambridge mathematical library. $3 1041603