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Book by Macdonald I G
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...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. (London Mathematical Society book reviews)
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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.
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- VerlagOxford University Press, USA
- Erscheinungsdatum1999
- ISBN 10 0198504500
- ISBN 13 9780198504504
- EinbandTapa blanda
- SpracheEnglisch
- Auflage2
- Anzahl der Seiten488
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ISBN 13: 9780198504504
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Paperback. Zustand: new. Paperback. 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 thesecond 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 thoseencountered 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 theircombinatorial 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 greatpotential 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 andclassical 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 thissubject.' 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. This second edition updates and expands the acclaimed first edition, adding a new chapter on a family of symmetric functions depending rationally on two parameters and also a chapter on zonal polynomials. It is available for the first time in paperback. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Bestandsnummer des Verkäufers 9780198504504
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Symmetric Functions and Hall Polynomials (Paperback)
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ISBN 13: 9780198504504
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Paperback. Zustand: new. Paperback. This is a new and much expanded edition of Professor Macdonald's acclaimed monograph on Symmetric Functions and Hall Polynomials. Almost every chapter has new sections and many new examples have been included throughout. In addition there are two new chapters (6 and 7).Chapter 6 contains an extended account of a family of symmetric functions depending on two parameters. These symmetric functions include as particular cases many of thoseencountered earlier in the book and they also include, as a limiting case, Jack's symmetric functions depending on a parameter *a. Many of the properties of the Schur functions generalize to thesetwo-parameter symmetric functions.Chapter 7 is devoted to the study of the zxonal polynomials, long familiar to staticians. From one point of view, they are a special case of Jack's symmetric functions (the parameter *a being equal to 2) but their combinatorial and group-theoretic connections make them worthy of study in their own right. The only book available on the subject, this is a new and expanded edition of a widely acclaimed monograph. Almost every chapter has new sections and many new examples have been included throughout. New chapters on a family of symmetric functions rationally on two parameters, and on zonal polynomials bring this book up-to-date with research being conducted in the field Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Bestandsnummer des Verkäufers 9780198504504
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