Rings of Continuous Functions is a comprehensive textbook on the theory of rings of continuous functions, written by Leonard Gillman. The book is part of the University Series in Higher Mathematics and is aimed at advanced undergraduate and graduate students of mathematics, as well as researchers in the field.The book covers a wide range of topics, including the basic theory of rings of continuous functions, topological spaces, compactness and connectedness, Stone-����ech compactification, and the Gelfand-Naimark theorem. It also includes chapters on commutative Banach algebras, uniform algebras, and the theory of maximal ideals.The author provides clear and concise explanations of the concepts and theorems, and includes numerous examples and exercises to help readers understand and apply the material. The book is well-organized and easy to follow, making it an excellent resource for anyone interested in the theory of rings of continuous functions.Edited By Oscar Zariski, S. S. Chern, And L. Nirenberg.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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Designed as a text as well as a treatise for active mathematicians, this volume begins with an unusual notice: "The book is addressed to those who know the meaning of each word in the title." As such, it constituted the first systematic account of the theory of rings of continuous functions, and it has retained its secure position as the basic graduate-level book in this area.
American mathematician Meyer Jerison (1922-1995) was on the faculty of Purdue University from 1951 until his retirement in 1991.
Leonard E. Gilman (1917-2009) taught at the University of Rochester and the University of Texas and was President of the Mathematical Association of America in 1987-1988.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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