Valuation Theory and Its Applications, Volume II

Valuation Theory and Its Applications, Volume II PDF Author: Franz-Viktor Kuhlmann
Publisher: American Mathematical Soc.
ISBN: 0821832069
Category : Business & Economics
Languages : en
Pages : 473

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Book Description
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.

Valuation Theory and Its Applications, Volume II

Valuation Theory and Its Applications, Volume II PDF Author: Franz-Viktor Kuhlmann
Publisher: American Mathematical Soc.
ISBN: 0821832069
Category : Business & Economics
Languages : en
Pages : 473

Get Book Here

Book Description
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.

Valuation Theory and Its Applications

Valuation Theory and Its Applications PDF Author: Franz-Viktor Kuhlmann
Publisher: American Mathematical Soc.
ISBN:
Category : Mathematics
Languages : en
Pages : 472

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Book Description
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). The special feature of this book is its focus on current applications of valuation theory to a broad range of topics. This first volume contains research and survey papers on a variety of valuation-theoretic topics, including rigid analytic geometry, real algebraic geometry, resolution of singularities, noncommutative valuation theory, valuations on fields, and Galois theory. 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.

Standards of Value

Standards of Value PDF Author: Jay E. Fishman
Publisher: John Wiley & Sons
ISBN: 1118238915
Category : Business & Economics
Languages : en
Pages : 496

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Book Description
Expert direction on interpretation and application of standards of value Written by Jay Fishman, Shannon Pratt, and William Morrison—three renowned valuation practitioners—Standards of Value, Second Edition discusses the interaction between valuation theory and its judicial and regulatory application. This insightful book addresses standards of value (SOV) as applied in four distinct contexts: estate and gift taxation; shareholder dissent and oppression; divorce; and financial reporting. Here, you will discover some of the intricacies of performing services in these venues. Features new case law in topics including personal good will and estate and gift tax, and updated to cover the new standards issued since the first edition Includes an updated compendium discussing the standards of value by state, new case law covering divorce, personal goodwill, and estate and gift tax, and coverage of newly issues financial standards Shows how the Standard of Value sets the appraisal process in motion and includes the combination of a review of court cases with the valuator's perspective Addresses the codification of GAAP and updates SOV in individual states Get Standards of Value, Second Edition and discover the underlying intricacies involved in determining "value."

Desingularization: Invariants and Strategy

Desingularization: Invariants and Strategy PDF Author: Vincent Cossart
Publisher: Springer Nature
ISBN: 3030526402
Category : Mathematics
Languages : en
Pages : 258

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Book Description
This book provides a rigorous and self-contained review of desingularization theory. Focusing on arbitrary dimensional schemes, it discusses the important concepts in full generality, complete with proofs, and includes an introduction to the basis of Hironaka’s Theory. The core of the book is a complete proof of desingularization of surfaces; despite being well-known, this result was no more than folklore for many years, with no existing references. Throughout the book there are numerous computations on standard bases, blowing ups and characteristic polyhedra, which will be a source of inspiration for experts exploring bigger dimensions. Beginners will also benefit from a section which presents some easily overlooked pathologies.

Mathematisches Institut Georg-august-universität Göttingen, Seminars Summer Term 2004

Mathematisches Institut Georg-august-universität Göttingen, Seminars Summer Term 2004 PDF Author: Yuri Tschinkel
Publisher: Universitätsverlag Göttingen
ISBN: 3930457709
Category :
Languages : en
Pages : 200

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Book Description
This volume contains lecture notes from the seminars [alpha]Number Theory", [alpha]Algebraic Geometry" and [alpha]Geometric methods in representation theory" which took place at the Mathematics Institute of the University of Göttingen during the Summer Term 2004. Most contributions report on recent work by the authors.

Situation Theory and Its Applications: Volume 2

Situation Theory and Its Applications: Volume 2 PDF Author: Robin Cooper
Publisher: Center for the Study of Language (CSLI)
ISBN: 9780937073711
Category : Computers
Languages : en
Pages : 660

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Book Description
Situation theory is the result of an interdisciplinary effort to create a full-fledged theory of information. Created by scholars and scientists from cognitive science, computer science, AI, linguistics, logic, philosophy, and mathematics, the theory is forging a common set of tools for the analysis of phenomena from all these fields. This volume presents work that evolved out of the Second Conference on Situation Theory and its Applications. Twenty-six essays exhibit the wide range of the theory, covering such topics as natural language semantics, philosophical issues about information, mathematical applications, and the visual representation of information in computer systems.Jon Barwise is a professor of philosophy, mathematics, and logic at Indiana University in Bloomington. Jean Mark Gawron is a researcher at SRI International and a consultant at Hewlett-Packard Laboratories. Gordon Plotkin is a professor of theoretical computer science at the University of Edinburgh. Syun Tutiya is in the philosophy department at Chiba University in Japan.

The Use of Ultraproducts in Commutative Algebra

The Use of Ultraproducts in Commutative Algebra PDF Author: Hans Schoutens
Publisher: Springer Science & Business Media
ISBN: 3642133673
Category : Mathematics
Languages : en
Pages : 215

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Book Description
Exploring ultraproducts of Noetherian local rings from an algebraic perspective, this volume illustrates the many ways they can be used in commutative algebra. The text includes an introduction to tight closure in characteristic zero, a survey of flatness criteria, and more.

Handbook of Algebra

Handbook of Algebra PDF Author: M. Hazewinkel
Publisher: Elsevier
ISBN: 0080932819
Category : Mathematics
Languages : en
Pages : 637

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Book Description
Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed.- Thorough and practical source of information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes

The Valuative Tree

The Valuative Tree PDF Author: Charles Favre
Publisher: Springer Science & Business Media
ISBN: 9783540229841
Category : Computers
Languages : en
Pages : 256

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Book Description
This volume is devoted to a beautiful object, called the valuative tree and designed as a powerful tool for the study of singularities in two complex dimensions. Its intricate yet manageable structure can be analyzed by both algebraic and geometric means. Many types of singularities, including those of curves, ideals, and plurisubharmonic functions, can be encoded in terms of positive measures on the valuative tree. The construction of these measures uses a natural tree Laplace operator of independent interest.

Mathematics Going Forward

Mathematics Going Forward PDF Author: Jean-Michel Morel
Publisher: Springer Nature
ISBN: 3031122445
Category : Mathematics
Languages : en
Pages : 629

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Book Description
This volume is an original collection of articles by 44 leading mathematicians on the theme of the future of the discipline. The contributions range from musings on the future of specific fields, to analyses of the history of the discipline, to discussions of open problems and conjectures, including first solutions of unresolved problems. Interestingly, the topics do not cover all of mathematics, but only those deemed most worthy to reflect on for future generations. These topics encompass the most active parts of pure and applied mathematics, including algebraic geometry, probability, logic, optimization, finance, topology, partial differential equations, category theory, number theory, differential geometry, dynamical systems, artificial intelligence, theory of groups, mathematical physics and statistics.