Gr Bner Deformations Of Hypergeometric Differential Equations
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Gr Bner Deformations Of Hypergeometric Differential Equations
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Author : Mutsumi Saito
language : en
Publisher: Boom Koninklijke Uitgevers
Release Date : 2000-01-07
Gr Bner Deformations Of Hypergeometric Differential Equations written by Mutsumi Saito and has been published by Boom Koninklijke Uitgevers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-07 with Computers categories.
The theory of Gröbner bases is a main tool for dealing with rings of differential operators. This book reexamines the concept of Gröbner bases from the point of view of geometric deformations. The algorithmic methods introduced in this book are particularly useful for studying the systems of multidimensional hypergeometric PDE's introduced by Gelfand, Kapranov, and Zelevinsky. A number of original research results are contained in the book, and many open problems are raised for future research in this rapidly growing area of computational mathematics.
Plasma Kinetics In Atmospheric Gases
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Author : M. Capitelli
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Plasma Kinetics In Atmospheric Gases written by M. Capitelli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.
Investigation of the kinetic processes occurring in the atmospheric gases and low temperature plasmas of such gases is of great interest for numerous areas of modern physics and chemistry. These include discharge and laser physics, physics of the ionosphere, chemistry and optics of the atmosphere, laser and plasma chemistry, and nonequilibrium gas dynamics. Further, nonequilibrium gaseous media and low temperature plasmas formed from N2, 02, or N2-02 mixtures are rich in active components such as 0, N, and H atoms and ex cited metastable species, which fostered the utilization of such nonequilibrium systems in a variety of new technologies. At present, several monographs devoted to the analysis of kinetic pro cesses in molecular gases and plasmas are available in the literature. How ever, most of these works deal only with general physical-chemical kinetic aspects, and do not provide an analysis of basic kinetic theory and detailed investigation of kinetic processes in N2, 02 and their mixtures. A monograph devoted to such a thorough analysis for the atmospheric gases is still lacking in the literature. The present book was written to fill in this gap. The book can be considered as a natural development of two former mono graphs, Non-Equilibrium Vibrotional Kinetics (ed. by M. Capitelli, Sprin ger-Verlag 1986) and Kinetic Processes in Gases and Lasers (B. Gordiets, A.I. Osipov, and L.A. Shelepin, Gordon and Breach 1988).
A Singular Introduction To Commutative Algebra
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Author : Gert-Martin Greuel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-05
A Singular Introduction To Commutative Algebra written by Gert-Martin Greuel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-05 with Mathematics categories.
This substantially enlarged second edition aims to lead a further stage in the computational revolution in commutative algebra. This is the first handbook/tutorial to extensively deal with SINGULAR. Among the book’s most distinctive features is a new, completely unified treatment of the global and local theories. Another feature of the book is its breadth of coverage of theoretical topics in the portions of commutative algebra closest to algebraic geometry, with algorithmic treatments of almost every topic.
Solving Systems Of Polynomial Equations
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Author : Bernd Sturmfels
language : en
Publisher: American Mathematical Soc.
Release Date : 2002
Solving Systems Of Polynomial Equations written by Bernd Sturmfels and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Bridging a number of mathematical disciplines, and exposing many facets of systems of polynomial equations, Bernd Sturmfels's study covers a wide spectrum of mathematical techniques and algorithms, both symbolic and numerical.
The Geometry Of Schemes
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Author : David Eisenbud
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-06
The Geometry Of Schemes written by David Eisenbud and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-06 with Mathematics categories.
Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
Lectures On Contemporary Probability
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Author : Gregory F. Lawler
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Lectures On Contemporary Probability written by Gregory F. Lawler and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
This volume is based on classes in probability for advanced undergraduates held at the IAS/Park City Mathematics Institute. It is derived from both lectures (Chapters 1-10) and computer simulations (Chapters 11-13) that were held during the program. The material is coordinated so that some of the major computer simulations relate to topics covered in the first ten chapters. The goal is to present topics that are accessible to advanced undergraduates, yet are areas of current research in probability. The combination of the lucid yet informal style of the lectures and the hands-on nature of the simulations allows readers to become familiar with some interesting and active areas of probability. The first four chapters discuss random walks and the continuous limit of random walks: Brownian motion. Chapters 5 and 6 consider the fascinating mathematics of card shuffles, including the notions of random walks on a symmetric group and the general idea of random permutations. Chapters 7 and 8 discuss Markov chains, beginning with a standard introduction to the theory. Chapter 8 addresses the recent important application of Markov chains to simulations of random systems on large finite sets: Markov Chain Monte Carlo. Random walks and electrical networks are covered in Chapter 9. Uniform spanning trees, as connected to probability and random walks, are treated in Chapter 10. The final three chapters of the book present simulations. Chapter 11 discusses simulations for random walks. Chapter 12 covers simulation topics such as sampling from continuous distributions, random permutations, and estimating the number of matrices with certain conditions using Markov Chain Monte Carlo. Chapter 13 presents simulations of stochastic differential equations for applications in finance. (The simulations do not require one particular piece of software. They can be done in symbolic computation packages or via programming languages such as $\bold C$.) The volume concludes with a number of problems ranging from routine to very difficult. Of particular note are the problems that are typical of simulation problems given to students by the authors when teaching undergraduate probability.
Pioneers Of Representation Theory Frobenius Burnside Schur And Brauer
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Author : Charles W. Curtis
language : en
Publisher: American Mathematical Soc.
Release Date : 1999
Pioneers Of Representation Theory Frobenius Burnside Schur And Brauer written by Charles W. Curtis and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
The AMS History of Mathematics series is one of the most popular items for bookstore sales. These books feature colorful, attractive covers that are perfect for face out displays. The topics will appeal to a broad audience in the mathematical and scientific communities.
A First Course In Computational Algebraic Geometry
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Author : Wolfram Decker
language : en
Publisher: Cambridge University Press
Release Date : 2013-02-07
A First Course In Computational Algebraic Geometry written by Wolfram Decker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-07 with Computers categories.
A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.
Binomial Ideals
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Author : Jürgen Herzog
language : en
Publisher: Springer
Release Date : 2018-10-10
Binomial Ideals written by Jürgen Herzog and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-10 with Mathematics categories.
This textbook provides an introduction to the combinatorial and statistical aspects of commutative algebra with an emphasis on binomial ideals. In addition to thorough coverage of the basic concepts and theory, it explores current trends, results, and applications of binomial ideals to other areas of mathematics. The book begins with a brief, self-contained overview of the modern theory of Gröbner bases and the necessary algebraic and homological concepts from commutative algebra. Binomials and binomial ideals are then considered in detail, along with a short introduction to convex polytopes. Chapters in the remainder of the text can be read independently and explore specific aspects of the theory of binomial ideals, including edge rings and edge polytopes, join-meet ideals of finite lattices, binomial edge ideals, ideals generated by 2-minors, and binomial ideals arising from statistics. Each chapter concludes with a set of exercises and a list of related topics and results that will complement and offer a better understanding of the material presented. Binomial Ideals is suitable for graduate students in courses on commutative algebra, algebraic combinatorics, and statistics. Additionally, researchers interested in any of these areas but familiar with only the basic facts of commutative algebra will find it to be a valuable resource.
Symbolic Numeric Computation
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Author : Dongming Wang
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-01-22
Symbolic Numeric Computation written by Dongming Wang and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-22 with Mathematics categories.
The growing demand of speed, accuracy, and reliability in scientific and engineering computing has been accelerating the merging of symbolic and numeric computations. These two types of computation coexist in mathematics yet are separated in traditional research of mathematical computation. This book presents 27 research articles on the integration and interaction of symbolic and numeric computation.