Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics -- algebraic geometry, in particular. This book assumes a knowledge of basic algebra but supplements its teachings with brief, clear explanations of integrality, algebraic extensions of fields, Galois theory, Noetherian rings and modules, and rings of fractions. It covers the basics, starting with the divisibility theory in principal ideal domains and ending with the unit theorem, finiteness of the class number, and the more elementary theorems of Hilbert ramification theory. Numerous examples, applications, and exercises appear throughout the text.
Byssus is Jen Hadfield's third collection, and her first after the T.S. Eliot prize-winning Nigh-No-Place. Byssus - pronounced 'bissus', and meaning the mussel's 'beard', the tough fibres which anchor it to the seabed - is a book first and foremost about home, and what it takes to find and forge one: amongst friends, alert to mortality, to love and to landscape. Her language, strongly rooted in the common names she finds in the sea, shore and moor of her adopted Shetland, has already been widely admired for its startling originality. Here, through poems of astonishment and adoration, Algebraic Theory of Numbers free ebook through charms and fables, and ultimately through a practice of attention and careful honouring - she shows how speech itself can be an act of home-making. Byssus is a profound consideration of just what it means to get to know a place.
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Author: Pierre Samuel,Allan J. Silberger
Number of Pages: 112 pages
Published Date: 19 May 2008
Publisher: Dover Publications Inc.
Publication Country: New York, United States
Language: English
ISBN: 9780486466668
Download Link: Click Here
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