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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

Signal Processing

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ISBN: 9781482241846 Year: Language: English
Publisher: CRC Press Grant: Knowledge Unlatched - 102705
Subject: Mathematics
Added to DOAB on : 2019-10-23 11:21:13
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This book explains how mathematical tools can be used to solve problems in signal processing. Assuming an advanced undergraduate- or graduate-level understanding of mathematics, this second edition contains new chapters on convolution and the vector DFT, plane-wave propagation, and the BLUE and Kalman filters. It expands the material on Fourier analysis to three new chapters to provide additional background information, presents real-world examples of applications that demonstrate how mathematics is used in remote sensing, and includes robust appendices and problems for classroom use.

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.

Mathematics Teacher Preparation in Central America and the Caribbean

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Book Series: SpringerBriefs in Education ISBN: 9783319441771 Year: Pages: 86 DOI: 10.1007/978-3-319-44177-1 Language: English
Publisher: Springer Nature
Subject: Education --- Political Science
Added to DOAB on : 2020-10-15 00:06:05
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*THIS BOOK WILL SOON BECOME AVAILABLE AS OPEN ACCESS BOOK* This book is an excellent synthesis of the initial and continuing preparation for Mathematics Teaching in Colombia, Costa Rica, Dominican Republic and Venezuela, from which comparative analyses can be made that show similarities and differences, and highlight various perspectives. In August 2012, a workshop of the Capacity and Networking Project (CANP) of the International Commission on Mathematical Instruction (ICMI) was held in Costa Rica. This CANP brought together for two weeks a group of 66 Mathematics educators, mathematicians, university administrators, and elementary and secondary teachers from Colombia, Venezuela, the Dominican Republic, Panamá and Costa Rica. The goal was to promote progress in Mathematics Education in the region; as such it was a unique experience in the region. One of the most important results of this event was the creation of the Mathematics Education Network of Central America and the Caribbean (REDUMATE). It was organized by persons associated with the Mathematics Education Reform Project in Costa Rica (responsible for the most outstanding and innovative curriculum reform in Latin America) and the Inter-American Committee on Mathematics Education (IACME), which is an official regional multinational organization affiliate of ICMI. This book brings to the international Educational Community an important collection of experiences and ideas in the Mathematics Education of four countries of a region within the heart of the American continent, a region that has been many times forgotten. The dissemination of these results can promote the search for international collaborative actions in a wider scale.

Mathematics Education in East Africa

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Book Series: SpringerBriefs in Education ISBN: 9783319272580 Year: Pages: 80 DOI: 10.1007/978-3-319-27258-0 Language: English
Publisher: Springer Nature
Subject: Education --- Political Science
Added to DOAB on : 2020-10-15 00:05:47
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*THIS BOOK WILL SOON BE AVAILABLE AS OPEN ACCESS BOOK* This book is a valuable resource for policymakers and practitioners as it brings insights mainly from developing countries where relatively less research activity takes place. It is also a valuable resource for courses in mathematics education in the teacher education colleges, and departments of education in the sub-Saharan Africa region. In the increasingly global and technological world mathematics is seen as a significant gatekeeper of opportunities for social and economic advancement and mobility. Hence, countries and development agencies in the broader sub-Saharan Africa region are looking towards increasing access to relevant and high-quality secondary education as a lever towards economic development. Policy makers and other key decision makers in education look towards improvement in mathematics teaching and learning as a key focus in education reform. In the East Africa region also a number of initiatives have been taken at the national level in the respective countries to improve the quality of mathematics education. This book provides an in-depth comparative analysis of the developments and issues in mathematics education in Kenya, Tanzania, Rwanda and Uganda, and advances our understanding of the state of secondary mathematics education in East Africa.

Rethinking Schooling

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Book Series: Education Heritage ISBN: 9780203963180 9780415407441 9781138881099 9781134133956 9781134133949 9781134133901 Year: DOI: 10.4324/9780203963180 Language: English
Publisher: Taylor & Francis
Subject: Education
Added to DOAB on : 2019-11-08 11:21:13
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Taking a collection of seminal articles from the Journal of Curriculum Studies, this book offers readers a vantage point for thinking about the worlds of schools and curricula, focusing in particular on the concept of seeing schools, curricula and teaching in new ways. Each of the chapters sheds fresh light on the ways of thinking the aforementioned. Themes include: classrooms and teaching pedagogy science and history education school and curriculum development students’ lives in schools. Written by an international group of distinguished scholars from Britain, North America, Sweden and Germany, the chapters draw on the perspectives offered by curriculum and pedagogical theory, history, ethnography, sociology, psychology and organisational studies and experiences in curriculum-making. Together they invite many questions about why teaching and curricula must be as they are. Rethinking Schooling provides new futures for education and alternative ways of seeing them.

Keywords

journal --- curriculum --- studies --- didaktik --- analysis --- mathematics --- reform --- secondary --- modern --- schools

Mathematics Teacher Education in the Andean Region and Paraguay

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Book Series: SpringerBriefs in Education ISBN: 9783319975443 Year: Pages: 106 DOI: 10.1007/978-3-319-97544-3 Language: English
Publisher: Springer Nature
Subject: Education
Added to DOAB on : 2020-10-15 00:06:35
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*THIS BOOK WILL SOON BE AVAILABLE AS OPEN ACCESS BOOK* This book is an excellent synthesis of the initial and continuing preparation for Mathematics Teaching in Bolivia, Ecuador, Paraguay and Peru, from which comparative analyses can be made that show similarities and differences, and highlight various perspectives. In February 2016, the 5th Capacity and Networking Project (CANP) workshop of the International Commission on Mathematical Instruction (ICMI) was held in Lima, Peru. The coordination of this two-week workshop was undertaken by an international scientific committee (IPC), with equal participation by mathematicians and mathematics educators from the region and from the international ICMI and IMU community. The goal of CANP5 was to improve the quality of mathematics education in the region, which led to the main theme of the scientific program “Initial and Continued Teacher Education”. Country Reports on the main theme of teacher education systems for each country in this region were presented and discussed to detect common issues that might be improved through a collaborative network. One of the most important results of this event was the creation of a Mathematics Education Network, namely the Comunidad de Educación Matemática de America del Sur – CEMAS. This book brings to the international Educational Community an important collection of experiences and ideas in the Mathematics Education of four Latin-American countries in the developing Andean region and Paraguay. The dissemination of these results can promote the search for international collaborative actions in a wider scale.

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