An Introduction to Combinatorial Analysis

Riordan, John

Editorial: New York: John Wiley & Sons, 1966

Condici�n: Usado - Bueno Encuadernaci�n de tapa dura

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Printed in the U.S.A. [Date from the copyright page.] Third Printing, stated. 'A Wiley Publication in Mathematical Statistics.' Preface; Contents: Permutations and Combinations, Generating Functions, The Principle of Inclusion and Exclusion, The Cycles of Permutations, Distributions: Occupancy, Partitions, Compositions, Trees, and Networks, Permutations with Restricted Position I & II; Equations, Formulas, Problems, References, Index; x, [i], 244 pages. The original black cloth covers, with gilt lettering on a blue ground on the upper board and the gently-bumped spine, are very good, with just a few spots of discoloration. Front endpapers have list of other titles in series. The interior, despite light toning to the edges, has remained fresh, crisp, and completely clean. [Please see my 5 images of the actual book.] After discussing the term combinatorial analysis at the start of the preface [referring to Leibniz, MacMahon, a current dictionary, and DeMorgan], Riordan proclaims: "Since the subject seems to have new growing ends, and definition is apt to be restrictive, this lack of conceptual precision may be all for the best. So far as the present book is concerned, anything enumerative is combinatorial; that is, the main emphasis throughout is on finding the 'number of ways there are' of doing some well-defined operation. � The modern developments of the subject are closely associated with the use of generating functions. As appears even in the first chapter, these must be taken in a form more general than the power series given them by P. S. Laplace, their inventor. Moreover, for their combinatorial uses, they are to be regarded, following E. T. Bell, as tools in the theory of an algebra of sequences, so that despite all appearances they belong to algebra and not to analysis. They serve to compress a great deal of development and allow the presentation of a mass of results in a uniform manner, giving the book more scope than would have been possible otherwise. By their means, that central combinatorial tool, the method of inclusion an exclusion, may be shown to be related to the use of factorial moments (which should be attractive to the statistician). Finally, the presentation in this form fits perfectly with the presentation of probability given by William Feller in this series." As with every book from my father's collection, tipped-in at the front is the small, attractive, acid-free bookplate pictured on my homepage. All books are wrapped with special care and are shipped promptly with tracking; international sales sent via global priority, also with tracking.

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Detalles bibliogr�ficos

T�tulo

An Introduction to Combinatorial Analysis

Editor

New York: John Wiley & Sons

Fecha de publicaci�n

1966

Encuadernaci�n

Hardcover

Edici�n

1st Edition

Estado

Very Good

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Descripci�n de la librer�a

The books listed here are, indeed, from my father's library, representing the depth and varied interests of a modern scholar's mind. Dr. Henry LeRoy Finch, professor emeritus of philosophy and a published author, trained in the classics (graduating top in his class at Yale), and went on to develop an appreciation for modern thinkers. It took over half-a-century to amass this collection of primarily-scholarly books with a broad range of subjects from Philosophy and Religion (with an emphasis on the interrelationships and intricacies of Eastern and Western Thinking) to scientific influences played out over the entire history of humankind, touching necessarily on Art, Anthropology, Archaeology, Literature, History of various Cultures, Psychology, Physics, and Spiritual Thought, including Theosophy and Mysticism. Many are esoteric philosophical works, out-of-print and unavailable elsewhere. A great number cover the interconnections of so many subjects as to defy classification. His was a working library: each volume was read and familiar, its whereabouts on a shelf always known, even when "double-parked." Though many of the books are esoteric, others will appeal to the general reader, often making an abstruse subject more approachable. (There are a hundred books on Einstein alone!) In addition, there are numerous paperbacks--classics, scholarly, first-published editions, several versions of the same book (in different translations), handy for packing along in a back pocket. Each of the volumes from the collection has a bookplate tipped in at the front and may have pencil marginalia--sparse or profuse. I have tried to reflect this in all the listings, but feel free to call and discuss further details of a book's condition. As it will take a long time to write up all the descriptions, some of you may wish to call and ask about a particular book you have been seeking. Meanwhile, I'll try to keep an eye on the "Wants" list. Thank you for visiting this page. I hope my father's books will eventually find happy homes; it was one of his last wishes.

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