Computer Algebra Methods for Equivariant Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Computer Algebra Methods for Equivariant Dynamical Systems write by Karin Gatermann. This book was released on 2007-05-06. Computer Algebra Methods for Equivariant Dynamical Systems available in PDF, EPUB and Kindle. This book starts with an overview of the research of Gröbner bases which have many applications in various areas of mathematics since they are a general tool for the investigation of polynomial systems. The next chapter describes algorithms in invariant theory including many examples and time tables. These techniques are applied in the chapters on symmetric bifurcation theory and equivariant dynamics. This combination of different areas of mathematics will be interesting to researchers in computational algebra and/or dynamics.
Algebraic and Symbolic Computation Methods in Dynamical Systems
Algebraic and Symbolic Computation Methods in Dynamical Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Algebraic and Symbolic Computation Methods in Dynamical Systems write by Alban Quadrat. This book was released on 2020-05-30. Algebraic and Symbolic Computation Methods in Dynamical Systems available in PDF, EPUB and Kindle. This book aims at reviewing recent progress in the direction of algebraic and symbolic computation methods for functional systems, e.g. ODE systems, differential time-delay equations, difference equations and integro-differential equations. In the nineties, modern algebraic theories were introduced in mathematical systems theory and in control theory. Combined with real algebraic geometry, which was previously introduced in control theory, the past years have seen a flourishing development of algebraic methods in control theory. One of the strengths of algebraic methods lies in their close connections to computations. The use of the above-mentioned algebraic theories in control theory has been an important source of motivation to develop effective versions of these theories (when possible). With the development of computer algebra and computer algebra systems, symbolic methods for control theory have been developed over the past years. The goal of this book is to propose a partial state of the art in this direction. To make recent results more easily accessible to a large audience, the chapters include materials which survey the main mathematical methods and results and which are illustrated with explicit examples.
The Valuative Tree
The Valuative Tree - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Valuative Tree write by Charles Favre. This book was released on 2004-08-30. The Valuative Tree available in PDF, EPUB and Kindle. 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.
European Congress of Mathematics
European Congress of Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook European Congress of Mathematics write by Carles Casacuberta. This book was released on 2012-12-06. European Congress of Mathematics available in PDF, EPUB and Kindle. This is the second volume of the proceedings of the third European Congress of Mathematics. Volume I presents the speeches delivered at the Congress, the list of lectures, and short summaries of the achievements of the prize winners as well as papers by plenary and parallel speakers. The second volume collects articles by prize winners and speakers of the mini-symposia. This two-volume set thus gives an overview of the state of the art in many fields of mathematics and is therefore of interest to every professional mathematician.
Laplacian Eigenvectors of Graphs
Laplacian Eigenvectors of Graphs - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Laplacian Eigenvectors of Graphs write by Türker Biyikoglu. This book was released on 2007-07-07. Laplacian Eigenvectors of Graphs available in PDF, EPUB and Kindle. This fascinating volume investigates the structure of eigenvectors and looks at the number of their sign graphs ("nodal domains"), Perron components, and graphs with extremal properties with respect to eigenvectors. The Rayleigh quotient and rearrangement of graphs form the main methodology. Eigenvectors of graph Laplacians may seem a surprising topic for a book, but the authors show that there are subtle differences between the properties of solutions of Schrödinger equations on manifolds on the one hand, and their discrete analogs on graphs.
