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Beschreibung
This book is a collection of about 500 problems in algebraic number
theory. They are systematically arranged to reveal the evolution of
concepts and ideas of the subject. All of the problems are completely
solved. Any student with the usual background of undergraduate algebra
should be able to work through these problems on his/her own. For this
new edition the authors added a new chapter and revised several
sections.
This book is a collection of about 500 problems in algebraic number
theory. They are systematically arranged to reveal the evolution of
concepts and ideas of the subject. All of the problems are completely
solved. Any student with the usual background of undergraduate algebra
should be able to work through these problems on his/her own. For this
new edition the authors added a new chapter and revised several
sections.
Über den Autor
Sebastian M. Cioaba is Professor at the Department of Mathematical Sciences, University of Delaware, Newark, USA. After his undergraduate studies in mathematics and computer science at the University of Bucharest, Romania, he obtained his Ph.D. in Mathematics at Queen's University at Kingston, Canada. Following postdocs at UC San Diego and the University of Toronto, Sebastian started his teaching position at the University of Delaware in 2009. His research interests are in spectral graph theory, algebraic combinatorics, and their connections and applications to other areas of mathematics and science. He is on the editorial board of several journals including Discrete Mathematics, Linear Algebra and its Applications, and Electronic Journal of Linear Algebra. He has organized several conferences in algebraic combinatorics and spectral graph theory. Sebastian has supervised 5 Ph.D. students, 2 [...]. students, 3 undergraduate senior theses, and over 20 summer research students. He has published more than 60 papers, and his research has been supported by NSF, NSA, NSERC, Simons Foundation, IDex Bordeaux, and Japan Society for Promotion of Science.

M. Ram Murty is Queen's Research Chair and A.V. Douglas Distinguished University Professor at Queen's University, in Kingston, Ontario, Canada. He obtained his Ph.D. from Massachusetts Institute of Technology, USA, in 1980 and subsequently held positions at the Institute for Advanced Study in Princeton, Tata Institute for Fundamental Research in Mumbai, and McGill University in Montreal. He has authored more than 250 research papers and written more than a dozen mathematical textbooks. His monograph, Non-vanishing of L-functions and Applications, written jointly with Prof. V. Kumar Murty, won the 1996 Balaguer Prize. Ram is Fellow of the Royal Society of Canada, Fellow of the American Mathematical Society, and Fellow of the Indian National Science Academy, India. He also teaches Indian philosophy at Queen's University and has authored Indian Philosophy: An Introduction, published by Broadview Press.
Zusammenfassung
This book is a collection of about 500 problems in algebraic number
theory. They are systematically arranged to reveal the evolution of
concepts and ideas of the subject. All of the problems are completely
solved. Any student with the usual background of undergraduate algebra
should be able to work through these problems on his/her own. For this
new edition the authors added a new chapter and revised several
sections.
Inhaltsverzeichnis
Problems.- Elementary Number Theory.- Euclidean Rings.- Algebraic Numbers and Integers.- Integral Bases.- Dedekind Domains.- The Ideal Class Group.- Quadratic Reciprocity.- The Structure of Units.- Higher Reciprocity Laws.- Analytic Methods.- Density Theorems.- Solutions.- Elementary Number Theory.- Euclidean Rings.- Algebraic Numbers and Integers.- Integral Bases.- Dedekind Domains.- The Ideal Class Group.- Quadratic Reciprocity.- The Structure of Units.- Higher Reciprocity Laws.- Analytic Methods.- Density Theorems.
Details
Erscheinungsjahr: 2010
Fachbereich: Arithmetik & Algebra
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Graduate Texts in Mathematics
Inhalt: xvi
352 S.
ISBN-13: 9781441919670
ISBN-10: 1441919678
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Murty, M. Ram
Esmonde, Jody (Indigo)
Auflage: Second Edition 2005
Hersteller: Springer
Graduate Texts in Mathematics
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 21 mm
Von/Mit: M. Ram Murty (u. a.)
Erscheinungsdatum: 19.11.2010
Gewicht: 0,563 kg
Artikel-ID: 107152578