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Author : Arthur Gordon Sugden
Publisher :
Page : pages
File Size : 25,46 MB
Release : 1956
Category :
ISBN :
Author : Franz-Viktor Kuhlmann
Publisher : American Mathematical Soc.
Page : 470 pages
File Size : 49,86 MB
Release : 2002-01-01
Category : Mathematics
ISBN : 9780821871393
This book is the first of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). Valuation theory arose in the early part of the twentieth century in connection with number theory and has many important applications to geometry and analysis: the classical application to the study of algebraic curves and to Dedekind and Prufer domains; the close connection to the famousresolution of the singularities problem; the study of the absolute Galois group of a field; the connection between ordering, valuations, and quadratic forms over a formally real field; the application to real algebraic geometry; the study of noncommutative rings; etc. The special feature of this book isits focus on current applications of valuation theory to this broad range of topics. Also included is a paper on the history of valuation theory. The book is suitable for graduate students and research mathematicians working in algebra, algebraic geometry, number theory, and mathematical logic.
Author : Franz-Viktor Kuhlmann
Publisher : American Mathematical Soc.
Page : 473 pages
File Size : 35,26 MB
Release : 2002
Category : Business & Economics
ISBN : 0821832069
This book is the second of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). It contains the most recent applications of valuation theory to a broad range of mathematical ideas. Valuation theory arose in the early part of the twentieth century in connection with number theory and continues to have many important applications to algebra, geometry, and analysis. The research and survey papers in this volume cover a variety of topics, including Galois theory, the Grunwald-Wang Theorem, algebraic geometry, resolution of singularities, curves over Prufer domains, model theory of valued fields and the Frobenius, Hardy fields, Hensel's Lemma, fixed point theorems, and computations in valued fields. It is suitable for graduate students and research mathematicians interested in algebra, algebraic geometry, number theory, and mathematical logic.
Author : Paulo Ribenboim
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 19,64 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461205514
Valuation theory is used constantly in algebraic number theory and field theory, and is currently gaining considerable research interest. Ribenboim fills a unique niche in the literature as he presents one of the first introductions to classical valuation theory in this up-to-date rendering of the authors long-standing experience with the applications of the theory. The presentation is fully up-to-date and will serve as a valuable resource for students and mathematicians.
Author : Aswath Damodaran
Publisher : Now Publishers Inc
Page : 102 pages
File Size : 15,87 MB
Release : 2005
Category : Business & Economics
ISBN : 1601980140
Valuation lies at the heart of much of what we do in finance, whether it is the study of market efficiency and questions about corporate governance or the comparison of different investment decision rules in capital budgeting. In this paper, we consider the theory and evidence on valuation approaches. We begin by surveying the literature on discounted cash flow valuation models, ranging from the first mentions of the dividend discount model to value stocks to the use of excess return models in more recent years. In the second part of the paper, we examine relative valuation models and, in particular, the use of multiples and comparables in valuation and evaluate whether relative valuation models yield more or less precise estimates of value than discounted cash flow models. In the final part of the paper, we set the stage for further research in valuation by noting the estimation challenges we face as companies globalize and become exposed to risk in multiple countries.
Author : Rem B. Edwards
Publisher : Wipf and Stock Publishers
Page : 476 pages
File Size : 30,20 MB
Release : 2014-12-02
Category : Social Science
ISBN : 1725234270
Robert S. Hartman died an untimely death in 1973. Since then, many of his friends, colleagues, and former students have worked diligently on his formal theory of value and have made important advances in developing both the theory itself and practical applications of it. Those familiar with his work are convinced that he made extraordinary advances in theoretical and applied axiology. Bob Hartman saw the Form of the Good. He laid the foundations for a science of values, still being developed. This book is written by members of the Robert S. Hartman Institute to acquaint others better with his achievements and to forge ahead where he left many problems unresolved. Robert Schirokauer escaped from Nazi Germany in 1933 on a false passport that read "Robert Hartman." He kept the name but later added the "S." He became a prominent and highly innovative philosopher who dedicated his life to resolving problems about human values, as expressed in his own words: "I thought to myself, if evil can be organized so efficiently [by the Nazis] why cannot good? Is there any reason for efficiency to be monopolized by the forces for evil in the world? Why have good people in history never seemed to have had as much power as bad people? I decided I would try to find out why and devote my life to doing something about it."
Author : Antonio Campillo
Publisher : Erich Schmidt Verlag GmbH & Co. KG
Page : 674 pages
File Size : 47,6 MB
Release : 2014
Category : Galois theory
ISBN : 9783037191491
For more than a century, valuation theory has had its classical roots in algebraic number theory, algebraic geometry and the theory of ordered fields and groups. In recent decades it has seen an amazing expansion into many other areas. Moreover, having been dormant for a while in algebraic geometry, it has now been reintroduced as a tool to attack the open problem of resolution of singularities in positive characteristic and to analyze the structure of singularities. Driven by this topic, and by its many new applications in other areas, the research in valuation theory itself has also been intensified, with a particular emphasis on the deep open problems in positive characteristic. The multifaceted development of valuation theory has been monitored by two International Conferences and Workshops: the first in 1999 in Saskatoon, Canada, and the second in 2011 in Segovia and El Escorial in Spain. This book grew out of the second conference and presents high quality papers on recent research together with survey papers that illustrate the state of the art in several areas and applications of valuation theory. This book is addressed to researchers and graduate students who work in valuation theory or the areas where it is applied, as well as a general mathematical audience interested in the expansion and usefulness of the valuation theoretical approach, which has been called the ``most analytic'' form of algebraic reasoning. For young mathematicians who want to enter these areas of research, it provides a valuable source of up-to-date information.
Author : Hidetoshi Marubayashi
Publisher : Springer
Page : 225 pages
File Size : 22,86 MB
Release : 2012-08-21
Category : Mathematics
ISBN : 3642311520
Classical valuation theory has applications in number theory and class field theory as well as in algebraic geometry, e.g. in a divisor theory for curves. But the noncommutative equivalent is mainly applied to finite dimensional skewfields. Recently however, new types of algebras have become popular in modern algebra; Weyl algebras, deformed and quantized algebras, quantum groups and Hopf algebras, etc. The advantage of valuation theory in the commutative case is that it allows effective calculations, bringing the arithmetical properties of the ground field into the picture. This arithmetical nature is also present in the theory of maximal orders in central simple algebras. Firstly, we aim at uniting maximal orders, valuation rings, Dubrovin valuations, etc. in a common theory, the theory of primes of algebras. Secondly, we establish possible applications of the noncommutative arithmetics to interesting classes of algebras, including the extension of central valuations to nice classes of quantized algebras, the development of a theory of Hopf valuations on Hopf algebras and quantum groups, noncommutative valuations on the Weyl field and interesting rings of invariants and valuations of Gauss extensions.
Author : Marco Fontana
Publisher : CRC Press
Page : 524 pages
File Size : 37,99 MB
Release : 2017-07-27
Category : Mathematics
ISBN : 9780203910627
Featuring presentations from the Fourth International Conference on Commutative Algebra held in Fez, Morocco, this reference presents trends in the growing area of commutative algebra. With contributions from nearly 50 internationally renowned researchers, the book emphasizes innovative applications and connections to algebraic number theory, geome
Author : Daniel Anderson
Publisher : CRC Press
Page : 376 pages
File Size : 13,8 MB
Release : 2019-05-07
Category : Mathematics
ISBN : 1482294613
Includes current work of 38 renowned contributors that details the diversity of thought in the fields of commutative algebra and multiplicative ideal theory. Summarizes recent findings on classes of going-down domains and the going-down property, emphasizing new characterizations and applications, as well as generalizations for commutative rings wi