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Fundamentals Of Algebraic Microlocal Analysis
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Book Synopsis Fundamentals of Algebraic Microlocal Analysis by : Goro Kato
Download or read book Fundamentals of Algebraic Microlocal Analysis written by Goro Kato and published by CRC Press. This book was released on 2020-08-11 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides a thorough introduction to the algebraic theory of systems of differential equations, as developed by the Japanese school of M. Sato and his colleagues. Features a complete review of hyperfunction-microfunction theory and the theory of D-modules. Strikes the perfect balance between analytic and algebraic aspects."
Book Synopsis Fundamentals of Algebraic Microlocal Analysis by : Goro Kato
Download or read book Fundamentals of Algebraic Microlocal Analysis written by Goro Kato and published by CRC Press. This book was released on 2020-08-11 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Provides a thorough introduction to the algebraic theory of systems of differential equations, as developed by the Japanese school of M. Sato and his colleagues. Features a complete review of hyperfunction-microfunction theory and the theory of D-modules. Strikes the perfect balance between analytic and algebraic aspects."
Book Synopsis Algebraic and Analytic Microlocal Analysis by : Michael Hitrik
Download or read book Algebraic and Analytic Microlocal Analysis written by Michael Hitrik and published by Springer. This book was released on 2018-12-19 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions from two workshops in algebraic and analytic microlocal analysis that took place in 2012 and 2013 at Northwestern University. Featured papers expand on mini-courses and talks ranging from foundational material to advanced research-level papers, and new applications in symplectic geometry, mathematical physics, partial differential equations, and complex analysis are discussed in detail. Topics include Procesi bundles and symplectic reflection algebras, microlocal condition for non-displaceability, polarized complex manifolds, nodal sets of Laplace eigenfunctions, geodesics in the space of Kӓhler metrics, and partial Bergman kernels. This volume is a valuable resource for graduate students and researchers in mathematics interested in understanding microlocal analysis and learning about recent research in the area.
Book Synopsis Fundamentals of Advanced Mathematics 2 by : Henri Bourles
Download or read book Fundamentals of Advanced Mathematics 2 written by Henri Bourles and published by Elsevier. This book was released on 2018-02-03 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The three volumes of this series of books, of which this is the second, put forward the mathematical elements that make up the foundations of a number of contemporary scientific methods: modern theory on systems, physics and engineering. Whereas the first volume focused on the formal conditions for systems of linear equations (in particular of linear differential equations) to have solutions, this book presents the approaches to finding solutions to polynomial equations and to systems of linear differential equations with varying coefficients. Fundamentals of Advanced Mathematics, Volume 2: Field Extensions, Topology and Topological Vector Spaces, Functional Spaces, and Sheaves begins with the classical Galois theory and the theory of transcendental field extensions. Next, the differential side of these theories is treated, including the differential Galois theory (Picard-Vessiot theory of systems of linear differential equations with time-varying coefficients) and differentially transcendental field extensions. The treatment of analysis includes topology (using both filters and nets), topological vector spaces (using the notion of disked space, which simplifies the theory of duality), and the radon measure (assuming that the usual theory of measure and integration is known). In addition, the theory of sheaves is developed with application to the theory of distributions and the theory of hyperfunctions (assuming that the usual theory of functions of the complex variable is known). This volume is the prerequisite to the study of linear systems with time-varying coefficients from the point-of-view of algebraic analysis and the algebraic theory of nonlinear systems. Present Galois Theory, transcendental field extensions, and Picard Includes sections on Vessiot theory, differentially transcendental field extensions, topology, topological vector spaces, Radon measure, differential calculus in Banach spaces, sheaves, distributions, hyperfunctions, algebraic analysis, and local analysis of systems of linear differential equations
Book Synopsis Advances in Microlocal and Time-Frequency Analysis by : Paolo Boggiatto
Download or read book Advances in Microlocal and Time-Frequency Analysis written by Paolo Boggiatto and published by Springer Nature. This book was released on 2020-03-03 with total page 533 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume gathers contributions to the conference Microlocal and Time-Frequency Analysis 2018 (MLTFA18), which was held at Torino University from the 2nd to the 6th of July 2018. The event was organized in honor of Professor Luigi Rodino on the occasion of his 70th birthday. The conference’s focus and the contents of the papers reflect Luigi’s various research interests in the course of his long and extremely prolific career at Torino University.
Book Synopsis Analysis of Dirac Systems and Computational Algebra by : Fabrizio Colombo
Download or read book Analysis of Dirac Systems and Computational Algebra written by Fabrizio Colombo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: * The main treatment is devoted to the analysis of systems of linear partial differential equations (PDEs) with constant coefficients, focusing attention on null solutions of Dirac systems * All the necessary classical material is initially presented * Geared toward graduate students and researchers in (hyper)complex analysis, Clifford analysis, systems of PDEs with constant coefficients, and mathematical physics
Download or read book Hopf Algebra written by Sorin Dascalescu and published by CRC Press. This book was released on 2000-09-15 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study covers comodules, rational modules and bicomodules; cosemisimple, semiperfect and co-Frobenius algebras; bialgebras and Hopf algebras; actions and coactions of Hopf algebras on algebras; finite dimensional Hopf algebras, with the Nicholas-Zoeller and Taft-Wilson theorems and character theory; and more.
Book Synopsis Abstract Algebra by : Claudia Menini
Download or read book Abstract Algebra written by Claudia Menini and published by CRC Press. This book was released on 2017-11-22 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: In one exceptional volume, Abstract Algebra covers subject matter typically taught over the course of two or three years and offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to smooth the trajectory of learning algebra from zero to one. Field-tested through advance use in the ERASMUS educational project in Europe, this ambitious, comprehensive book includes an original treatment of representation of finite groups that avoids the use of semisimple ring theory and explains sets, maps, posets, lattices, and other essentials of the algebraic language; Peano's axioms and cardinality; groupoids, semigroups, monoids, groups; and normal subgroups.
Book Synopsis Algebraic Geometry for Associative Algebras by : Freddy Van Oystaeyen
Download or read book Algebraic Geometry for Associative Algebras written by Freddy Van Oystaeyen and published by CRC Press. This book was released on 2000-06-06 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and homological algebras, quantum groups and spaces, rings of differential operation, Cech and sheaf cohomology theories, and dimension theories to create a blend of noncommutative algebraic geometry. It offers a scheme theor
Book Synopsis A Primer of Algebraic Geometry by : Huishi Li
Download or read book A Primer of Algebraic Geometry written by Huishi Li and published by CRC Press. This book was released on 2017-12-19 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Presents the structure of algebras appearing in representation theory of groups and algebras with general ring theoretic methods related to representation theory. Covers affine algebraic sets and the nullstellensatz, polynomial and rational functions, projective algebraic sets. Groebner basis, dimension of algebraic sets, local theory, curves and elliptic curves, and more."
Book Synopsis Algebraic Generalizations of Discrete Groups by : Benjamin Fine
Download or read book Algebraic Generalizations of Discrete Groups written by Benjamin Fine and published by CRC Press. This book was released on 1999-07-27 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of one-relator products of cyclics or groups with a single defining relation, extending the algebraic study of Fuchsian groups to the more general context of one-relator products and related group theoretical considerations. It provides a self-contained account of certain natural generalizations of discrete groups.
Book Synopsis Surveys in Differential-Algebraic Equations II by : Achim Ilchmann
Download or read book Surveys in Differential-Algebraic Equations II written by Achim Ilchmann and published by Springer. This book was released on 2014-12-04 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume comprises survey articles on various fields of Differential-Algebraic Equations (DAEs), which have widespread applications in controlled dynamical systems, especially in mechanical and electrical engineering and a strong relation to (ordinary) differential equations. The individual chapters provide reviews, presentations of the current state of research and new concepts in - Observers for DAEs - DAEs in chemical processes - Optimal control of DAEs - DAEs from a functional-analytic viewpoint - Algebraic methods for DAEs The results are presented in an accessible style, making this book suitable not only for active researchers but also for graduate students (with a good knowledge of the basic principles of DAEs) for self-study.
Book Synopsis A First Graduate Course in Abstract Algebra by : William Jennings Wickless
Download or read book A First Graduate Course in Abstract Algebra written by William Jennings Wickless and published by CRC Press. This book was released on 2019-09-27 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: Realizing the specific needs of first-year graduate students, this reference allows readers to grasp and master fundamental concepts in abstract algebra-establishing a clear understanding of basic linear algebra and number, group, and commutative ring theory and progressing to sophisticated discussions on Galois and Sylow theory, the structure of abelian groups, the Jordan canonical form, and linear transformations and their matrix representations.
Book Synopsis Applied Functional Analysis by : Abul Hasan Siddiqi
Download or read book Applied Functional Analysis written by Abul Hasan Siddiqi and published by CRC Press. This book was released on 2003-09 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: The methods of functional analysis have helped solve diverse real-world problems in optimization, modeling, analysis, numerical approximation, and computer simulation. Applied Functional Analysis presents functional analysis results surfacing repeatedly in scientific and technological applications and presides over the most current analytical and numerical methods in infinite-dimensional spaces. This reference highlights critical studies in projection theorem, Riesz representation theorem, and properties of operators in Hilbert space and covers special classes of optimization problems. Supported by 2200 display equations, this guide incorporates hundreds of up-to-date citations.
Book Synopsis Foundations of Translation Planes by : Mauro Biliotti
Download or read book Foundations of Translation Planes written by Mauro Biliotti and published by CRC Press. This book was released on 2001-07-13 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the construction and analysis of translation planes to spreads, partial spreads, co-ordinate structures, automorphisms, autotopisms, and collineation groups. It emphasizes the manipulation of incidence structures by various co-ordinate systems, including quasisets, spreads and matrix spreadsets. The volume showcases methods of structure theory as well as tools and techniques for the construction of new planes.
Book Synopsis C* - Algebras and Numerical Analysis by : Ronald Hagen
Download or read book C* - Algebras and Numerical Analysis written by Ronald Hagen and published by CRC Press. This book was released on 2000-09-07 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Analyzes algebras of concrete approximation methods detailing prerequisites, local principles, and lifting theorems. Covers fractality and Fredholmness. Explains the phenomena of the asymptotic splitting of the singular values, and more."
Book Synopsis Strange Functions in Real Analysis, Second Edition by : A.B. Kharazishvili
Download or read book Strange Functions in Real Analysis, Second Edition written by A.B. Kharazishvili and published by CRC Press. This book was released on 2000-01-31 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume aims to explicate extraordinary functions in real analysis and their applications. It examines the Baire category method, the Zermelo-Fraenkel set, the Axiom of Dependent Choices, Cantor and Peano type functions, the Continuum Hypothesis, everywhere differentiable nowhere monotone functions, and Jarnik's nowhere approximately differentiable functions.
