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Author :
Publisher :
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.3/5 (91 download)
Download or read book Revista colombiana de matemáticas written by and published by . This book was released on 2002 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. G. de Figueiredo
Publisher : Springer
ISBN 13 : 3540395393
Total Pages : 314 pages
Book Rating : 4.5/5 (43 download)
Download or read book Differential Equations written by D. G. de Figueiredo and published by Springer. This book was released on 2006-11-15 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Javier Echeverria
Publisher : Walter de Gruyter
ISBN 13 : 3110870290
Total Pages : 440 pages
Book Rating : 4.1/5 (18 download)
Download or read book The Space of Mathematics written by Javier Echeverria and published by Walter de Gruyter. This book was released on 2012-10-25 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wilfried Sieg
Publisher : Cambridge University Press
ISBN 13 : 1316998819
Total Pages : 456 pages
Book Rating : 4.3/5 (169 download)
Download or read book Reflections on the Foundations of Mathematics written by Wilfried Sieg and published by Cambridge University Press. This book was released on 2017-03-30 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the fifteenth publication in the Lecture Notes in Logic series, collects papers presented at the symposium 'Reflections on the Foundations of Mathematics' held in celebration of Solomon Feferman's 70th birthday (The 'Feferfest') at Stanford University, California in 1988. Feferman has shaped the field of foundational research for nearly half a century. These papers reflect his broad interests as well as his approach to foundational research, which emphasizes the solution of mathematical and philosophical problems. There are four sections, covering proof theoretic analysis, logic and computation, applicative and self-applicative theories, and philosophy of modern mathematical and logic thought.
Author : Siu-ah Ng
Publisher : World Scientific
ISBN 13 : 9814492337
Total Pages : 313 pages
Book Rating : 4.8/5 (144 download)
Download or read book Hypermodels In Mathematical Finance: Modelling Via Infinitesimal Analysis written by Siu-ah Ng and published by World Scientific. This book was released on 2003-01-23 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the beginning of the new millennium, two unstoppable processes are taking place in the world: (1) globalization of the economy; (2) information revolution. As a consequence, there is greater participation of the world population in capital market investment, such as bonds and stocks and their derivatives. Hence there is a need for risk management and analytic theory explaining the market. This leads to quantitative tools based on mathematical methods, i.e. the theory of mathematical finance.Ever since the pioneer work of Black, Scholes and Merton in the 70's, there has been rapid growth in the study of mathematical finance, involving ever more sophisticated mathematics. However, from the practitioner's point of view, it is desirable to have simpler and more useful mathematical tools.This book introduces research students and practitioners to the intuitive but rigorous hypermodel techniques in finance. It is based on Robinson's infinitesimal analysis, which is easily grasped by anyone with as little background as first-year calculus. It covers topics such as pricing derivative securities (including the Black-Scholes formula), hedging, term structure models of interest rates, consumption and equilibrium. The reader is introduced to mathematical tools needed for the aforementioned topics. Mathematical proofs and details are given in an appendix. Some programs in MATHEMATICA are also included.
Author : Marta Cialdea Mayer
Publisher : Springer
ISBN 13 : 3540452060
Total Pages : 283 pages
Book Rating : 4.5/5 (44 download)
Download or read book Automated Reasoning with Analytic Tableaux and Related Methods written by Marta Cialdea Mayer and published by Springer. This book was released on 2003-10-24 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2003, held in Rome, Italy in September 2003. The 20 revised full papers presented were carefully reviewed and selected for inclusion in the book. All current issues surrounding the mechanization of logical reasoning with tableaux and similar methods are addressed in the context of a broad variety of logic calculi.
Author : R Costa
Publisher : CRC Press
ISBN 13 : 0429529996
Total Pages : 492 pages
Book Rating : 4.4/5 (295 download)
Download or read book NonasSociative Algebra and Its Applications written by R Costa and published by CRC Press. This book was released on 2019-05-20 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil. Topics in algebra theory include alternative, Bernstein, Jordan, lie, and Malcev algebras and superalgebras. The volume presents applications to population genetics theory, physics, and more.
Author : Michal Krynicki
Publisher : Springer Science & Business Media
ISBN 13 : 9401705240
Total Pages : 282 pages
Book Rating : 4.4/5 (17 download)
Download or read book Quantifiers: Logics, Models and Computation written by Michal Krynicki and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of research papers centered around the concept of quantifier. Recently this concept has become the central point of research in logic. It is one of the important logical concepts whose exact domain and applications have so far been insufficiently explored, especially in the area of inferential and semantic properties of languages. It should thus remain the central point of research in the future. Moreover, during the last twenty years generalized quantifiers and logical technics based on them have proved their utility in various applications. The example of natu rallanguage semantics has been partcularly striking. For a long time it has been belived that elementary logic also called first-order logic was an ade quate theory of logical forms of natural language sentences. Recently it has been accepted that semantics of many natural language constructions can not be properly represented in elementary logic. It has turned out, however, that they can be described by means of generalized quantifiers. As far as computational applications oflogic are concerned, particulary interesting are semantics restricted to finite models. Under this restriction elementary logic looses several of its advantages such as axiomatizability and compactness. And for various purposes we can use equally well some semantically richer languages of which generalized quantifiers offer the most universal methods of describing extensions of elementary logic. Moreover we can look at generalized quantifiers as an explication of some specific mathematical concepts, e. g.
Author : Graham Priest
Publisher : Clarendon Press
ISBN 13 : 0191548065
Total Pages : 456 pages
Book Rating : 4.1/5 (915 download)
Download or read book The Law of Non-Contradiction written by Graham Priest and published by Clarendon Press. This book was released on 2006-11-30 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Law of Non-Contradiction-that no contradiction can be true-has been a seemingly unassailable dogma since the work of Aristotle, in Book Gamma of the Metaphysics. It is an assumption challenged from a variety of angles in this collection of original papers. Twenty-three of the world's leading experts investigate the 'law', considering arguments for and against it and discussing methodological issues that arise whenever we question the legitimacy of logical principles. The result is a balanced inquiry into a venerable principle of logic, one that raises questions at the very centre of logic itself. The aim of this volume is to present a comprehensive debate about the Law of Non-Contradiction, from discussions as to how the law is to be understood, to reasons for accepting or re-thinking the law, and to issues that raise challenges to the law, such as the Liar Paradox, and a 'dialetheic' resolution of that paradox. One of the editors contributes an introduction which surveys the issues and serves to frame the debate. This collection will be of interest to anyone working on philosophical logic, and to anyone who has ever wondered about the status of logical laws and about how one might proceed to mount arguments for or against them.
Author : Karl E. Gustafson
Publisher : Springer Science & Business Media
ISBN 13 : 1461384982
Total Pages : 202 pages
Book Rating : 4.4/5 (613 download)
Download or read book Numerical Range written by Karl E. Gustafson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theories of quadratic forms and their applications appear in many parts of mathematics and the sciences. All students of mathematics have the opportunity to encounter such concepts and applications in their first course in linear algebra. This subject and its extensions to infinite dimen sions comprise the theory of the numerical range W(T). There are two competing names for W(T), namely, the numerical range of T and the field of values for T. The former has been favored historically by the func tional analysis community, the latter by the matrix analysis community. It is a toss-up to decide which is preferable, and we have finally chosen the former because it is our habit, it is a more efficient expression, and because in recent conferences dedicated to W(T), even the linear algebra commu nity has adopted it. Also, one universally refers to the numerical radius, and not to the field of values radius. Originally, Toeplitz and Hausdorff called it the Wertvorrat of a bilinear form, so other good names would be value field or form values. The Russian community has referred to it as the Hausdorff domain. Murnaghan in his early paper first called it the region of the complex plane covered by those values for an n x n matrix T, then the range of values of a Hermitian matrix, then the field of values when he analyzed what he called the sought-for region.
Author : Solomon Feferman
Publisher : Oxford University Press, USA
ISBN 13 : 0195080300
Total Pages : 353 pages
Book Rating : 4.1/5 (95 download)
Download or read book In the Light of Logic written by Solomon Feferman and published by Oxford University Press, USA. This book was released on 1998 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this collection of essays written over a period of twenty years, Solomon Feferman explains advanced results in modern logic and employs them to cast light on significant problems in the foundations of mathematics. Most troubling among these is the revolutionary way in which Georg Cantor elaborated the nature of the infinite, and in doing so helped transform the face of twentieth-century mathematics. Feferman details the development of Cantorian concepts and the foundational difficulties they engendered. He argues that the freedom provided by Cantorian set theory was purchased at a heavy philosophical price, namely adherence to a form of mathematical platonism that is difficult to support. Beginning with a previously unpublished lecture for a general audience, Deciding the Undecidable, Feferman examines the famous list of twenty-three mathematical problems posed by David Hilbert, concentrating on three problems that have most to do with logic. Other chapters are devoted to the work and thought of Kurt Gödel, whose stunning results in the 1930s on the incompleteness of formal systems and the consistency of Cantors continuum hypothesis have been of utmost importance to all subsequent work in logic. Though Gödel has been identified as the leading defender of set-theoretical platonism, surprisingly even he at one point regarded it as unacceptable. In his concluding chapters, Feferman uses tools from the special part of logic called proof theory to explain how the vast part--if not all--of scientifically applicable mathematics can be justified on the basis of purely arithmetical principles. At least to that extent, the question raised in two of the essays of the volume, Is Cantor Necessary?, is answered with a resounding no. This volume of important and influential work by one of the leading figures in logic and the foundations of mathematics is essential reading for anyone interested in these subjects.
Author : Walter Carnielli
Publisher : Springer
ISBN 13 : 3319332058
Total Pages : 417 pages
Book Rating : 4.3/5 (193 download)
Download or read book Paraconsistent Logic: Consistency, Contradiction and Negation written by Walter Carnielli and published by Springer. This book was released on 2016-06-14 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first in the field of paraconsistency to offer a comprehensive overview of the subject, including connections to other logics and applications in information processing, linguistics, reasoning and argumentation, and philosophy of science. It is recommended reading for anyone interested in the question of reasoning and argumentation in the presence of contradictions, in semantics, in the paradoxes of set theory and in the puzzling properties of negation in logic programming. Paraconsistent logic comprises a major logical theory and offers the broadest possible perspective on the debate of negation in logic and philosophy. It is a powerful tool for reasoning under contradictoriness as it investigates logic systems in which contradictory information does not lead to arbitrary conclusions. Reasoning under contradictions constitutes one of most important and creative achievements in contemporary logic, with deep roots in philosophical questions involving negation and consistency This book offers an invaluable introduction to a topic of central importance in logic and philosophy. It discusses (i) the history of paraconsistent logic; (ii) language, negation, contradiction, consistency and inconsistency; (iii) logics of formal inconsistency (LFIs) and the main paraconsistent propositional systems; (iv) many-valued companions, possible-translations semantics and non-deterministic semantics; (v) paraconsistent modal logics; (vi) first-order paraconsistent logics; (vii) applications to information processing, databases and quantum computation; and (viii) applications to deontic paradoxes, connections to Eastern thought and to dialogical reasoning.
Author : Holger Andreas
Publisher : Springer
ISBN 13 : 331940220X
Total Pages : 221 pages
Book Rating : 4.3/5 (194 download)
Download or read book Logical Studies of Paraconsistent Reasoning in Science and Mathematics written by Holger Andreas and published by Springer. This book was released on 2016-12-02 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers work written by leading scholars from different schools within the research area of paraconsistency. The authors critically investigate how contemporary paraconsistent logics can be used to better understand human reasoning in science and mathematics. Offering a variety of perspectives, they shed a new light on the question of whether paraconsistent logics can function as the underlying logics of inconsistent but useful scientific and mathematical theories. The great variety of paraconsistent logics gives rise to various, interrelated questions, such as what are the desiderata a paraconsistent logic should satisfy, is there prospect of a universal approach to paraconsistent reasoning with axiomatic theories, and to what extent is reasoning about sets structurally analogous to reasoning about truth. Furthermore, the authors consider paraconsistent logic’s status as either a normative or descriptive discipline (or one which falls in between) and which inconsistent but non-trivial axiomatic theories are well understood by which types of paraconsistent approaches. This volume addresses such questions from different perspectives in order to (i) obtain a representative overview of the state of the art in the philosophical debate on paraconsistency, (ii) come up with fresh ideas for the future of paraconsistency, and most importantly (iii) provide paraconsistent logic with a stronger philosophical foundation, taking into account the developments within the different schools of paraconsistency.
Author : Akihiro Kanamori
Publisher : Springer Science & Business Media
ISBN 13 : 3540888675
Total Pages : 555 pages
Book Rating : 4.5/5 (48 download)
Download or read book The Higher Infinite written by Akihiro Kanamori and published by Springer Science & Business Media. This book was released on 2008-11-23 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the years, this book has become a standard reference and guide in the set theory community. It provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research, with open questions and speculations throughout.
Author : Wilfried Sieg
Publisher : Oxford University Press
ISBN 13 : 0195372220
Total Pages : 452 pages
Book Rating : 4.1/5 (953 download)
Download or read book Hilbert's Programs and Beyond written by Wilfried Sieg and published by Oxford University Press. This book was released on 2013-03-07 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: David Hilbert was one of the great mathematicians who expounded the centrality of their subject in human thought. In this collection of essays, Wilfried Sieg frames Hilbert's foundational work, from 1890 to 1939, in a comprehensive way and integrates it with modern proof theoretic investigations.
Author : Enrique Casanovas
Publisher : Cambridge University Press
ISBN 13 : 0521119553
Total Pages : 185 pages
Book Rating : 4.5/5 (211 download)
Download or read book Simple Theories and Hyperimaginaries written by Enrique Casanovas and published by Cambridge University Press. This book was released on 2011-06-30 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 1990s Kim and Pillay generalized stability, a major model theoretic idea developed by Shelah twenty-five years earlier, to the study of simple theories. This book is an up-to-date introduction to simple theories and hyperimaginaries, with special attention to Lascar strong types and elimination of hyperimaginary problems. Assuming only knowledge of general model theory, the foundations of forking, stability, and simplicity are presented in full detail. The treatment of the topics is as general as possible, working with stable formulas and types and assuming stability or simplicity of the theory only when necessary. The author offers an introduction to independence relations as well as a full account of canonical bases of types in stable and simple theories. In the last chapters the notions of internality and analyzability are discussed and used to provide a self-contained proof of elimination of hyperimaginaries in supersimple theories.
Author : Armen M. Jerbashian
Publisher : Springer Nature
ISBN 13 : 3031498852
Total Pages : 366 pages
Book Rating : 4.0/5 (314 download)
Download or read book Functions of Omega-Bounded Type written by Armen M. Jerbashian and published by Springer Nature. This book was released on with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
