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61	Complete Ordered Fields Arnold, Thompson Sharon 08 1900 (has links) The purpose of this thesis is to study the concept of completeness in an ordered field. Several conditions which are necessary and sufficient for completeness in an ordered field are examined. In Chapter I the definitions of a field and an ordered field are presented and several properties of fields and ordered fields are noted. Chapter II defines an Archimedean field and presents several conditions equivalent to the Archimedean property. Definitions of a complete ordered field (in terms of a least upper bound) and the set of real numbers are also stated. Chapter III presents eight conditions which are equivalent to completeness in an ordered field. These conditions include the concepts of nested intervals, Dedekind cuts, bounded monotonic sequences, convergent subsequences, open coverings, cluster points, Cauchy sequences, and continuous functions. ordered fields Algebraic fields. Archimedean fields completeness in an ordered field
62	Implementation considerations of algebraic switching fabrics. / CUHK electronic theses & dissertations collection January 2002 (has links) by Zhu Jian. / "May 2002." / Thesis (Ph.D.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (p. 162-170). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Mode of access: World Wide Web. / Abstracts in English and Chinese. Telecommunication--Switching systems Switching theory Computer networks Algebraic fields
63	Distribution of additive functions in algebraic number fields Hughes, Garry. January 1987 (has links) (PDF) Bibliography: leaves 90-93. Probabilistic number theory Algebraic fields Algebraic number theory
64	Dirichlet's Theorem in projective general linear groups and the Absolute Siegel's Lemma Pekker, Alexander 28 August 2008 (has links) Not available / text Diophantine approximation Linear algebraic groups Abelian groups Algebraic fields
65	Group laws and complex multiplication in local fields. Urda, Michael January 1972 (has links) No description available. Lie groups Algebraic number theory Algebraic fields. Abelian groups
66	Distribution of additive functions in algebraic number fields / Hughes, Garry. January 1987 (has links) (PDF) Thesis (M. Sc.)--University of Adelaide, 1987. / Includes bibliographical references (leaves 90-93).
67	Coherence for categorified operadic theories Gould, Miles. January 2008 (has links) Thesis (Ph.D.) - University of Glasgow, 2008. / Ph.D. thesis submitted to the Faculty of Information and Mathematical Sciences, Department of Mathematics, University of Glasgow, 2008. Includes bibliographical references. Print version also available.
68	Hyperelliptic curves from the geometric and algebraic perspectives / Weir, Colin, January 1900 (has links) Thesis (M.Sc.) - Carleton University, 2008. / Includes bibliographical references (p. 212-213). Also available in electronic format on the Internet.
69	Dirichlet's Theorem in projective general linear groups and the Absolute Siegel's Lemma Pekker, Alexander, January 1900 (has links) (PDF) Thesis (Ph. D.)--University of Texas at Austin, 2006. / Vita. Includes bibliographical references.
70	Algebraic Number Fields Hartsell, Melanie Lynne 08 1900 (has links) This thesis investigates various theorems on polynomials over the rationals, algebraic numbers, algebraic integers, and quadratic fields. The material selected in this study is more of a number theoretical aspect than that of an algebraic structural aspect. Therefore, the topics of divisibility, unique factorization, prime numbers, and the roots of certain polynomials have been chosen for primary consideration. theorems on polynomials algebraic structural aspect Algebraic fields. Polynomials.

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