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Progress in Commutative Algebra 1

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Book Series: De Gruyter Proceedings in Mathematics ISBN: 9783110250343 9783110250404 Year: Pages: 372,00 DOI: 10.1515/9783110250404 Language: English
Publisher: De Gruyter Grant: Knowledge Unlatched - 102374
Subject: Mathematics
Added to DOAB on : 2019-04-25 11:21:03
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This is the first of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains combinatorial and homological surveys. The combinatorial papers document some of the increasing focus in commutative algebra recently on the interaction between algebra and combinatorics.

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Mathematics

Planar Dynamical Systems

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ISBN: 9783110298291 9783110298369 Year: Pages: 389,00 DOI: 10.1515/9783110298369 Language: English
Publisher: De Gruyter Grant: Knowledge Unlatched - 102378
Subject: Mathematics
Added to DOAB on : 2019-04-25 11:21:03
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This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivariant planar vector fields which concern with Hilbert's 16th problem. This book is intended for graduate students, post-doctors and researchers in the area of theories and applications of dynamical systems. For all engineers who are interested the theory of dynamical systems, it is also a reasonable reference. It requires a minimum background of an one-year course on nonlinear differential equations.

Keywords

Mathematics

Multidimensional Inverse and Ill-Posed Problems for Differential Equations

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ISBN: 9783110346664 Year: Language: English
Publisher: De Gruyter Grant: Knowledge Unlatched - 102377
Subject: Mathematics
Added to DOAB on : 2019-04-25 11:21:03
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This monograph is devoted to statements of multidimensional inverse problems, in particular to methods of their investigation. Questions of the uniqueness of solution, solvability and stability are studied. Methods to construct a solution are given and, in certain cases, inversion formulas are given as well. Concrete applications of the theory developed here are also given. Where possible, the author has stopped to consider the method of investigation of the problems, thereby sometimes losing generality and quantity of the problems, which can be examined by such a method. The book should be of interest to researchers in the field of applied mathematics, geophysics and mathematical biology.

Keywords

Mathematics

Progress in Commutative Algebra 2

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Book Series: De Gruyter Proceedings in Mathematics ISBN: 9783110278590 9783110278606 Year: Pages: 325,00 DOI: 10.1515/9783110278606 Language: English
Publisher: De Gruyter Grant: Knowledge Unlatched - 102373
Added to DOAB on : 2019-04-25 11:21:03
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This is the second of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains surveys on aspects of closure operations, finiteness conditions and factorization. Closure operations on ideals and modules are a bridge between noetherian and nonnoetherian commutative algebra. It contains a nice guide to closure operations by Epstein, but also contains an article on test ideals by Schwede and Tucker and more.

Keywords

Mathematics --- Mathematics

Large Scale Inverse Problems

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Book Series: Radon Series on Computational and Applied Mathematics ISBN: 9783110282221 9783110282269 Year: Volume: 13 Pages: 212,00 DOI: 10.1515/9783110282269 Language: English
Publisher: De Gruyter Grant: Knowledge Unlatched - 102369
Subject: Mathematics
Added to DOAB on : 2019-04-25 11:21:03
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This book is thesecond volume of a three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation &amp Analysis in Energy and the Environment" that took placein Linz, Austria, October 3-7, 2011. This volume addresses the common ground in the mathematical and computational procedures required for large-scale inverse problems and data assimilation in forefront applications. The solution of inverse problems is fundamental to a wide variety of applications such as weather forecasting, medical tomography, and oil exploration. Regularisation techniques are needed to ensure solutions of sufficient quality to be useful, and soundly theoretically based. This book addresses the common techniques required for all the applications, and is thus truly interdisciplinary. This collection of survey articles focusses on the large inverse problems commonly arising in simulation and forecasting in the earth sciences.

Sprache in Wissenschaft und Dichtung. Diskursive Formationen von Mathematik, Physik, Logik und Dichtung im 17. und 18. Jahrhundert

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Book Series: Literatur- und Naturwissenschaften ISSN: 2365-3949 ISBN: 9783110464252 9783110464436 Year: Volume: 4 Pages: x, 499 DOI: 10.1515/9783110464252 Language: German
Publisher: De Gruyter
Subject: Languages and Literatures
Added to DOAB on : 2017-08-25 17:27:37
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In the 17th and 18th centuries, language and linguistic reflections were a central determinant of the discursive relationship between mathematics, physics, logic, and literature. The volume traces these constellations, examining linguistic, technical, and poetological texts to reveal the close connections between the language of literature, poetology, and scientific discourse.

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