Symmetric Functions and Hall Polynomials (First Edition)

Macdonald, I. G.

ISBN 10: 0198534892 / ISBN 13: 9780198534891

Edité par Clarendon Press, Oxford, 1979

A propos de cet article

180 pp. Tightly bound. Tip of lower right corner front board lightly bumped. Light foxing top fore-edge. Text is free of markings. No ownership markings. Good dust jacket. The dust jacket is only "good" as it is price clipped and faded from light blue to white on the spine. Bound in dark blue cloth with gilt type face on the spine. NOTE: This copy is the 1979 publication and not the 2nd edition of 1995. Presumed First Printing as there is the publication date of 1979 with no later printing history. This copy is smyth sewn. Smyth sewing is a method of bookbinding where groups of folded pages (referred to as signatures) are stitched together using binder thread. Each folded signature is sewn together individually with multiple stitches and then joined with other signatures to create the complete book block. This is the traditional and best method of bookbinding.

N° de réf. du vendeur 031514

Détails bibliographiques

• Titre: Symmetric Functions and Hall Polynomials (First Edition)
• Éditeur: Clarendon Press, Oxford
• Date de parution: 1979
• Langue: anglais
• ISBN à 10 chiffres: 0198534892
• ISBN à 13 chiffres: 9780198534891
• Reliure: Hardcover
• Édition: 1st Edition
• État de l'article: Good to Very Good
• État de la jaquette: Good Dust Jacket
• Catalogues du vendeur:
  • Scholarly IV

A propos de ce titre

Synopsis

This new and much expanded edition of a well-received book remains the only text available on the subject of symmetric functions and Hall polynomials. There are new sections in almost every chapter, and many new examples have been included throughout.

Présentation de l'éditeur

This is a paperback version of the second, much expanded, edition of Professor Macdonald's acclaimed monograph on symmetric functions and Hall polynomials. Almost every chapter has new sections and new examples have been included throughout. Extra material in the appendix to Chapter 1, for example, includes an account of the related theory of polynomial representations of the general linear groups (always in characteristic zero). Chapters 6 and 7 are new to the second edition: Chapter 6 contains an extended account of a family of symmetric functions depending rationally on two parameters. These symmetric functions include as particular cases many of those encountered earlier in the book but they also include, as a limiting case, Jack's symmetric functions depending on a parameter (Many of the properties of the Schur functions generalize to these two-parameter symmetric functions, but the proofs (at present) are usually more elaborate. Chapter 7 is devoted to the study of the zonal polynomials, long familiar to statisticians. From one point of view they are a special case of Jack's symmetric functions (the parameter ( being equal to 2) but their combinatorial and group-theoretic connections make them worthy of study in their own right. From reviews of the first edition: 'Despite the amount of material of such great potential interest to mathematicians...the theory of symmetric functions remains all but unknown to the persons it is most likely to benefit...Hopefully this beautifully written book will put an end to this state of affairs...I have no doubt that this book will become the definitive reference on symmetric functions and their applications.' Bulletin of the AMS '...In addition to providing a self-contained and coherent account of well-known and classical work, there is a great deal which is original. The book is dotted with gems, both old and new...It is a substantial and valuable volume and will be regarded as the authoritative source which has been long awaited in this subject.' LMS book reviews From reviews of the second edition: 'Evidently this second edition will be the source and reference book for symmetric functions in the near future.' bl. Math.