Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 0080954944
Category : Computers
Languages : en
Pages : 383
Book Description
Sets and Classes on The Work by Paul Bernays
Sets and Classes on The Work by Paul Bernays
Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 0080954944
Category : Computers
Languages : en
Pages : 383
Book Description
Sets and Classes on The Work by Paul Bernays
Publisher: Elsevier
ISBN: 0080954944
Category : Computers
Languages : en
Pages : 383
Book Description
Sets and Classes on The Work by Paul Bernays
Models of ZF-Set Theory
Author: U. Felgner
Publisher: Springer
ISBN: 3540369082
Category : Mathematics
Languages : en
Pages : 179
Book Description
Publisher: Springer
ISBN: 3540369082
Category : Mathematics
Languages : en
Pages : 179
Book Description
Topology of Singular Spaces and Constructible Sheaves
Author: Jörg Schürmann
Publisher: Birkhäuser
ISBN: 3034880618
Category : Mathematics
Languages : en
Pages : 461
Book Description
This volume is based on the lecture notes of six courses delivered at a Cimpa Summer School in Temuco, Chile, in January 2001. Leading experts contribute with introductory articles covering a broad area in probability and its applications, such as mathematical physics and mathematics of finance. Written at graduate level, the lectures touch the latest advances on each subject, ranging from classical probability theory to modern developments. Thus the book will appeal to students, teachers and researchers working in probability theory or related fields.
Publisher: Birkhäuser
ISBN: 3034880618
Category : Mathematics
Languages : en
Pages : 461
Book Description
This volume is based on the lecture notes of six courses delivered at a Cimpa Summer School in Temuco, Chile, in January 2001. Leading experts contribute with introductory articles covering a broad area in probability and its applications, such as mathematical physics and mathematics of finance. Written at graduate level, the lectures touch the latest advances on each subject, ranging from classical probability theory to modern developments. Thus the book will appeal to students, teachers and researchers working in probability theory or related fields.
The Gröbner Cover
Author: Antonio Montes
Publisher: Springer
ISBN: 3030039048
Category : Mathematics
Languages : en
Pages : 285
Book Description
This book is divided into two parts, one theoretical and one focusing on applications, and offers a complete description of the Canonical Gröbner Cover, the most accurate algebraic method for discussing parametric polynomial systems. It also includes applications to the Automatic Deduction of Geometric Theorems, Loci Computation and Envelopes. The theoretical part is a self-contained exposition on the theory of Parametric Gröbner Systems and Bases. It begins with Weispfenning’s introduction of Comprehensive Gröbner Systems (CGS) in 1992, and provides a complete description of the Gröbner Cover (GC), which includes a canonical discussion of a set of parametric polynomial equations developed by Michael Wibmer and the author. In turn, the application part selects three problems for which the Gröbner Cover offers valuable new perspectives. The automatic deduction of geometric theorems (ADGT) becomes fully automatic and straightforward using GC, representing a major improvement on all previous methods. In terms of loci and envelope computation, GC makes it possible to introduce a taxonomy of the components and automatically compute it. The book also generalizes the definition of the envelope of a family of hypersurfaces, and provides algorithms for its computation, as well as for discussing how to determine the real envelope. All the algorithms described here have also been included in the software library “grobcov.lib” implemented in Singular by the author, and serve as a User Manual for it.
Publisher: Springer
ISBN: 3030039048
Category : Mathematics
Languages : en
Pages : 285
Book Description
This book is divided into two parts, one theoretical and one focusing on applications, and offers a complete description of the Canonical Gröbner Cover, the most accurate algebraic method for discussing parametric polynomial systems. It also includes applications to the Automatic Deduction of Geometric Theorems, Loci Computation and Envelopes. The theoretical part is a self-contained exposition on the theory of Parametric Gröbner Systems and Bases. It begins with Weispfenning’s introduction of Comprehensive Gröbner Systems (CGS) in 1992, and provides a complete description of the Gröbner Cover (GC), which includes a canonical discussion of a set of parametric polynomial equations developed by Michael Wibmer and the author. In turn, the application part selects three problems for which the Gröbner Cover offers valuable new perspectives. The automatic deduction of geometric theorems (ADGT) becomes fully automatic and straightforward using GC, representing a major improvement on all previous methods. In terms of loci and envelope computation, GC makes it possible to introduce a taxonomy of the components and automatically compute it. The book also generalizes the definition of the envelope of a family of hypersurfaces, and provides algorithms for its computation, as well as for discussing how to determine the real envelope. All the algorithms described here have also been included in the software library “grobcov.lib” implemented in Singular by the author, and serve as a User Manual for it.
SET THEORY
Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 0080954952
Category : Computers
Languages : en
Pages : 529
Book Description
SET THEORY
Publisher: Elsevier
ISBN: 0080954952
Category : Computers
Languages : en
Pages : 529
Book Description
SET THEORY
Encyclopaedia of Mathematics
Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9400959974
Category : Mathematics
Languages : en
Pages : 525
Book Description
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Publisher: Springer Science & Business Media
ISBN: 9400959974
Category : Mathematics
Languages : en
Pages : 525
Book Description
This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.
Foundational Studies Selected Works
Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 0080955002
Category : Computers
Languages : en
Pages : 684
Book Description
Foundational Studies Selected Works
Publisher: Elsevier
ISBN: 0080955002
Category : Computers
Languages : en
Pages : 684
Book Description
Foundational Studies Selected Works
Mathematical Logic
Author: Roman Kossak
Publisher: Springer Nature
ISBN: 3031562151
Category :
Languages : en
Pages : 256
Book Description
Publisher: Springer Nature
ISBN: 3031562151
Category :
Languages : en
Pages : 256
Book Description
Mathematical Logic and Foundations of Set Theory, Proceedings of an International Colloquium Held Under the Auspices of The Israel Academy of Sciences and Humanities
Author: Lev D. Beklemishev
Publisher: Elsevier
ISBN: 9780080953
Category : Computers
Languages : en
Pages : 153
Book Description
Mathematical Logic and Foundations of Set Theory, Proceedings of an International Colloquium Held Under the Auspices of The Israel Academy of Sciences and Humanities
Publisher: Elsevier
ISBN: 9780080953
Category : Computers
Languages : en
Pages : 153
Book Description
Mathematical Logic and Foundations of Set Theory, Proceedings of an International Colloquium Held Under the Auspices of The Israel Academy of Sciences and Humanities
Analytic D-Modules and Applications
Author: Jan-Erik Björk
Publisher: Springer Science & Business Media
ISBN: 0792321146
Category : Mathematics
Languages : en
Pages : 601
Book Description
This is the first monograph to be published on analytic D-modules and it offers a complete and systematic treatment of the foundations together with a thorough discussion of such modern topics as the Riemann--Hilbert correspondence, Bernstein--Sata polynomials and a large variety of results concerning microdifferential analysis. Analytic D-module theory studies holomorphic differential systems on complex manifolds. It brings new insight and methods into many areas, such as infinite dimensional representations of Lie groups, asymptotic expansions of hypergeometric functions, intersection cohomology on Kahler manifolds and the calculus of residues in several complex variables. The book contains seven chapters and has an extensive appendix which is devoted to the most important tools which are used in D-module theory. This includes an account of sheaf theory in the context of derived categories, a detailed study of filtered non-commutative rings and homological algebra, and the basic material in symplectic geometry and stratifications on complex analytic sets. For graduate students and researchers.
Publisher: Springer Science & Business Media
ISBN: 0792321146
Category : Mathematics
Languages : en
Pages : 601
Book Description
This is the first monograph to be published on analytic D-modules and it offers a complete and systematic treatment of the foundations together with a thorough discussion of such modern topics as the Riemann--Hilbert correspondence, Bernstein--Sata polynomials and a large variety of results concerning microdifferential analysis. Analytic D-module theory studies holomorphic differential systems on complex manifolds. It brings new insight and methods into many areas, such as infinite dimensional representations of Lie groups, asymptotic expansions of hypergeometric functions, intersection cohomology on Kahler manifolds and the calculus of residues in several complex variables. The book contains seven chapters and has an extensive appendix which is devoted to the most important tools which are used in D-module theory. This includes an account of sheaf theory in the context of derived categories, a detailed study of filtered non-commutative rings and homological algebra, and the basic material in symplectic geometry and stratifications on complex analytic sets. For graduate students and researchers.