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Enumerative combinatorics.
Authors: ---
ISBN: 1107192129 113981172X 1139811479 0511609582 0511966555 1283871157 1139811592 9781139811729 0521560691 9780521560696 9780511609589 9780521789875 0521553091 0521663512 9780521553094 0521789877 9780521663519 Year: 1999 Publisher: Cambridge : Cambridge University Press,

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This second volume of a two-volume basic introduction to enumerative combinatorics covers the composition of generating functions, trees, algebraic generating functions, D-finite generating functions, noncommutative generating functions, and symmetric functions. The chapter on symmetric functions provides the only available treatment of this subject suitable for an introductory graduate course on combinatorics, and includes the important Robinson-Schensted-Knuth algorithm. Also covered are connections between symmetric functions and representation theory. An appendix by Sergey Fomin covers some deeper aspects of symmetric function theory, including jeu de taquin and the Littlewood-Richardson rule. As in Volume 1, the exercises play a vital role in developing the material. There are over 250 exercises, all with solutions or references to solutions, many of which concern previously unpublished results. Graduate students and research mathematicians who wish to apply combinatorics to their work will find this an authoritative reference.

Calculus of variations
Authors: --- ---
ISBN: 9780486414485 0486414485 Year: 2000 Publisher: Mineloa, N.-Y. : Dover Publications,

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Book
Calculus of variations
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Year: 1963 Publisher: Englewood : Prentice-Hall International,

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Book
Elements of the theory of functions and functional analysis.
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Year: 1961 Publisher: Albany, NY : Graylock Press,

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Elements of the theory of functions and functional analysis.
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Year: 1957 Publisher: Rochester (N.Y.) : Graylock Press,

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Book
Multiple integrals, field theory and series : an advanced course in higher mathematics
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Year: 1973 Publisher: Moscou : Mir,

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Book
Eléments de la théorie des fonctions et de l'analyse fonctionnelle
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Year: 1974 Publisher: Moscou : Mir,


Book
Measure, Lebesgue integrals and Hilbert space
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Year: 1961 Publisher: New York, N.Y.: Academic press,

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Book
Measure, Lebesgue integrals, and Hilbert space
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Year: 1961 Publisher: New York, NY : Academic Press,

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