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Author: Pierre E. Conner
Publisher: World Scientific
ISBN: 9789971506698
Category : Mathematics
Languages : en
Pages : 250
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Book Description
This book deals with classical questions of Algebraic Number Theory concerning the interplay between units, ideal class groups, and ramification for relative extensions of number fields. It includes a large collection of fundamental classical examples, dealing in particular with relative quadratic extensions as well as relative cyclic extensions of odd prime degree. The unified approach is exclusively algebraic in nature.
Author: Pierre E. Conner
Publisher: World Scientific
ISBN: 9789971506698
Category : Mathematics
Languages : en
Pages : 250
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Book Description
This book deals with classical questions of Algebraic Number Theory concerning the interplay between units, ideal class groups, and ramification for relative extensions of number fields. It includes a large collection of fundamental classical examples, dealing in particular with relative quadratic extensions as well as relative cyclic extensions of odd prime degree. The unified approach is exclusively algebraic in nature.
Author: P E Connor
Publisher: World Scientific
ISBN: 9814522791
Category : Mathematics
Languages : en
Pages : 248
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Book Description
This book deals with classical questions of Algebraic Number Theory concerning the interplay between units, ideal class groups, and ramification for relative extensions of number fields. It includes a large collection of fundamental classical examples, dealing in particular with relative quadratic extensions as well as relative cyclic extensions of odd prime degree. The unified approach is exclusively algebraic in nature.
Author: Helmut Hasse
Publisher: Springer
ISBN: 3030015122
Category : Mathematics
Languages : en
Pages : 365
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Book Description
With this translation, the classic monograph Über die Klassenzahl abelscher Zahlkörper by Helmut Hasse is now available in English for the first time. The book addresses three main topics: class number formulas for abelian number fields; expressions of the class number of real abelian number fields by the index of the subgroup generated by cyclotomic units; and the Hasse unit index of imaginary abelian number fields, the integrality of the relative class number formula, and the class number parity. Additionally, the book includes reprints of works by Ken-ichi Yoshino and Mikihito Hirabayashi, which extend the tables of Hasse unit indices and the relative class numbers to imaginary abelian number fields with conductor up to 100. The text provides systematic and practical methods for deriving class number formulas, determining the unit index and calculating the class number of abelian number fields. A wealth of illustrative examples, together with corrections and remarks on the original work, make this translation a valuable resource for today’s students of and researchers in number theory.
Author: Peter Stevenhagen
Publisher:
ISBN:
Category : Class groups (Mathematics)
Languages : en
Pages : 17
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Book Description
Author: Bill Jacob
Publisher: American Mathematical Soc.
ISBN: 0821803409
Category : Mathematics
Languages : en
Pages : 458
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Book Description
Volume 2 of two - also available in a set of both volumes.
Author: Augustin Louis Baron Cauchy
Publisher: World Scientific
ISBN: 9789971506667
Category : Mathematics
Languages : en
Pages : 1010
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Book Description
This volume aims at surveying and exposing the main ideas and principles accumulated in a number of theories of Mathematical Analysis. The underlying methodological principle is to develop a unified approach to various kinds of problems. In the papers presented, outstanding research scientists discuss the present state of the art and the broad spectrum of topics in the theory.
Author: Clark R. Abrahams
Publisher: John Wiley & Sons
ISBN: 9780470241899
Category : Business & Economics
Languages : en
Pages : 356
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Book Description
Praise for Fair Lending ComplianceIntelligence and Implications for Credit Risk Management "Brilliant and informative. An in-depth look at innovative approaches to credit risk management written by industry practitioners. This publication will serve as an essential reference text for those who wish to make credit accessible to underserved consumers. It is comprehensive and clearly written." --The Honorable Rodney E. Hood "Abrahams and Zhang's timely treatise is a must-read for all those interested in the critical role of credit in the economy. They ably explore the intersection of credit access and credit risk, suggesting a hybrid approach of human judgment and computer models as the necessary path to balanced and fair lending. In an environment of rapidly changing consumer demographics, as well as regulatory reform initiatives, this book suggests new analytical models by which to provide credit to ensure compliance and to manage enterprise risk." --Frank A. Hirsch Jr., Nelson Mullins Riley & Scarborough LLP Financial Services Attorney and former general counsel for Centura Banks, Inc. "This book tackles head on the market failures that our current risk management systems need to address. Not only do Abrahams and Zhang adeptly articulate why we can and should improve our systems, they provide the analytic evidence, and the steps toward implementations. Fair Lending Compliance fills a much-needed gap in the field. If implemented systematically, this thought leadership will lead to improvements in fair lending practices for all Americans." --Alyssa Stewart Lee, Deputy Director, Urban Markets Initiative The Brookings Institution "[Fair Lending Compliance]...provides a unique blend of qualitative and quantitative guidance to two kinds of financial institutions: those that just need a little help in staying on the right side of complex fair housing regulations; and those that aspire to industry leadership in profitably and responsibly serving the unmet credit needs of diverse businesses and consumers in America's emerging domestic markets." --Michael A. Stegman, PhD, The John D. and Catherine T. MacArthur Foundation, Duncan MacRae '09 and Rebecca Kyle MacRae Professor of Public Policy Emeritus, University of North Carolina at Chapel Hill
Author: V.A. Vassiliev
Publisher: Springer Science & Business Media
ISBN: 9401102139
Category : Mathematics
Languages : en
Pages : 306
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Book Description
Solutions to many problems of these theories are treated. Subjects include the proof of multidimensional analogues of Newton's theorem on the nonintegrability of ovals; extension of the proofs for the theorems of Newton, Ivory, Arnold and Givental on potentials of algebraic surfaces. Also, it is discovered for which d and n the potentials of degree d hyperbolic surfaces in [actual symbol not reproducible] are algebraic outside the surfaces; the equivalence of local regularity (the so-called sharpness), of fundamental solutions of hyperbolic PDEs and the topological Petrovskii-Atiyah-Bott-Garding condition is proved, and the geometrical characterization of domains of sharpness close to simple singularities of wave fronts is considered; a 'stratified' version of the Picard-Lefschetz formula is proved, and an algorithm enumerating topologically distinct Morsifications of real function singularities is given.
Author: Robert Platt
Publisher: Springer
ISBN: 1489963650
Category : Medical
Languages : en
Pages : 228
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Book Description
Author: United States. Congress. House. Select Committee on Population
Publisher:
ISBN:
Category : Older people
Languages : en
Pages : 900
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Book Description
