Two Algebraic Byways From Differential Equations Grobner Bases And Quivers

Download Two Algebraic Byways From Differential Equations Grobner Bases And Quivers full books in PDF, epub, and Kindle. Read online Two Algebraic Byways From Differential Equations Grobner Bases And Quivers ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers

Author : Kenji Iohara
Publisher : Springer Nature
ISBN 13 : 3030264548
Total Pages : 375 pages
Book Rating : 4.0/5 (32 download)

DOWNLOAD NOW!

Book Synopsis Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers by : Kenji Iohara

Download or read book Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers written by Kenji Iohara and published by Springer Nature. This book was released on 2020-02-20 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Gröbner bases) and geometry (via quiver theory). Gröbner bases serve as effective models for computation in algebras of various types. Although the theory of Gröbner bases was developed in the second half of the 20th century, many works on computational methods in algebra were published well before the introduction of the modern algebraic language. Since then, new algorithms have been developed and the theory itself has greatly expanded. In comparison, diagrammatic methods in representation theory are relatively new, with the quiver varieties only being introduced – with big impact – in the 1990s. Divided into two parts, the book first discusses the theory of Gröbner bases in their commutative and noncommutative contexts, with a focus on algorithmic aspects and applications of Gröbner bases to analysis on systems of partial differential equations, effective analysis on rings of differential operators, and homological algebra. It then introduces representations of quivers, quiver varieties and their applications to the moduli spaces of meromorphic connections on the complex projective line. While no particular reader background is assumed, the book is intended for graduate students in mathematics, engineering and related fields, as well as researchers and scholars.

Mathematics and Computation

Author : Avi Wigderson
Publisher : Princeton University Press
ISBN 13 : 0691189137
Total Pages : 434 pages
Book Rating : 4.6/5 (911 download)

DOWNLOAD NOW!

Book Synopsis Mathematics and Computation by : Avi Wigderson

Download or read book Mathematics and Computation written by Avi Wigderson and published by Princeton University Press. This book was released on 2019-10-29 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the winner of the Turing Award and the Abel Prize, an introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences, technology, and philosophy Mathematics and Computation provides a broad, conceptual overview of computational complexity theory—the mathematical study of efficient computation. With important practical applications to computer science and industry, computational complexity theory has evolved into a highly interdisciplinary field, with strong links to most mathematical areas and to a growing number of scientific endeavors. Avi Wigderson takes a sweeping survey of complexity theory, emphasizing the field’s insights and challenges. He explains the ideas and motivations leading to key models, notions, and results. In particular, he looks at algorithms and complexity, computations and proofs, randomness and interaction, quantum and arithmetic computation, and cryptography and learning, all as parts of a cohesive whole with numerous cross-influences. Wigderson illustrates the immense breadth of the field, its beauty and richness, and its diverse and growing interactions with other areas of mathematics. He ends with a comprehensive look at the theory of computation, its methodology and aspirations, and the unique and fundamental ways in which it has shaped and will further shape science, technology, and society. For further reading, an extensive bibliography is provided for all topics covered. Mathematics and Computation is useful for undergraduate and graduate students in mathematics, computer science, and related fields, as well as researchers and teachers in these fields. Many parts require little background, and serve as an invitation to newcomers seeking an introduction to the theory of computation. Comprehensive coverage of computational complexity theory, and beyond High-level, intuitive exposition, which brings conceptual clarity to this central and dynamic scientific discipline Historical accounts of the evolution and motivations of central concepts and models A broad view of the theory of computation's influence on science, technology, and society Extensive bibliography

Geometry of Continued Fractions

Author : Oleg Karpenkov
Publisher : Springer Science & Business Media
ISBN 13 : 3642393683
Total Pages : 409 pages
Book Rating : 4.6/5 (423 download)

DOWNLOAD NOW!

Book Synopsis Geometry of Continued Fractions by : Oleg Karpenkov

Download or read book Geometry of Continued Fractions written by Oleg Karpenkov and published by Springer Science & Business Media. This book was released on 2013-08-15 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally a subject of number theory, continued fractions appear in dynamical systems, algebraic geometry, topology, and even celestial mechanics. The rise of computational geometry has resulted in renewed interest in multidimensional generalizations of continued fractions. Numerous classical theorems have been extended to the multidimensional case, casting light on phenomena in diverse areas of mathematics. This book introduces a new geometric vision of continued fractions. It covers several applications to questions related to such areas as Diophantine approximation, algebraic number theory, and toric geometry. The reader will find an overview of current progress in the geometric theory of multidimensional continued fractions accompanied by currently open problems. Whenever possible, we illustrate geometric constructions with figures and examples. Each chapter has exercises useful for undergraduate or graduate courses.

Polynomials

Author : Victor V. Prasolov
Publisher : Springer Science & Business Media
ISBN 13 : 3642039804
Total Pages : 311 pages
Book Rating : 4.6/5 (42 download)

DOWNLOAD NOW!

Book Synopsis Polynomials by : Victor V. Prasolov

Download or read book Polynomials written by Victor V. Prasolov and published by Springer Science & Business Media. This book was released on 2009-09-23 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers its topic in greater depth than the typical standard books on polynomial algebra

The Structure of Polynomial Ideals and Grobner Bases

Author : Thomas W Dube
Publisher : Legare Street Press
ISBN 13 : 9781021232779
Total Pages : 0 pages
Book Rating : 4.2/5 (327 download)

DOWNLOAD NOW!

Book Synopsis The Structure of Polynomial Ideals and Grobner Bases by : Thomas W Dube

Download or read book The Structure of Polynomial Ideals and Grobner Bases written by Thomas W Dube and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this illuminating work on algebraic geometry, Thomas W. Dubé offers a fresh perspective on polynomial ideals and Gröbner bases. Drawing on the latest developments in the field, Dubé introduces a powerful new approach to solving algebraic systems of equations, with wide-ranging applications in science and engineering. A must-read for anyone interested in cutting-edge research in algebraic geometry. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Dynamical Systems with Applications using MATLAB®

Author : Stephen Lynch
Publisher : Springer
ISBN 13 : 3319068202
Total Pages : 519 pages
Book Rating : 4.3/5 (19 download)

DOWNLOAD NOW!

Book Synopsis Dynamical Systems with Applications using MATLAB® by : Stephen Lynch

Download or read book Dynamical Systems with Applications using MATLAB® written by Stephen Lynch and published by Springer. This book was released on 2014-07-22 with total page 519 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox® and the Symbolic Math toolbox®, including MuPAD. Features new to the second edition include · sections on series solutions of ordinary differential equations, perturbation methods, normal forms, Gröbner bases, and chaos synchronization; · chapters on image processing and binary oscillator computing; · hundreds of new illustrations, examples, and exercises with solutions; and · over eighty up-to-date MATLAB program files and Simulink model files available online. These files were voted MATLAB Central Pick of the Week in July 2013. The hands-on approach of Dynamical Systems with Applications using MATLAB, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and physics. Praise for the first edition Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamical systems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing. —OR News/Operations Research Spectrum The MATLAB programs are kept as simple as possible and the author's experience has shown that this method of teaching using MATLAB works well with computer laboratory classes of small sizes.... I recommend ‘Dynamical Systems with Applications using MATLAB’ as a good handbook for a diverse readership: graduates and professionals in mathematics, physics, science and engineering. —Mathematica

Exterior Differential Systems

Author : Robert L. Bryant
Publisher : Springer Science & Business Media
ISBN 13 : 1461397146
Total Pages : 483 pages
Book Rating : 4.4/5 (613 download)

DOWNLOAD NOW!

Book Synopsis Exterior Differential Systems by : Robert L. Bryant

Download or read book Exterior Differential Systems written by Robert L. Bryant and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a treatment of exterior differential systems. It will in clude both the general theory and various applications. An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. When all the forms are linear, it is called a pfaffian system. Our object is to study its integral manifolds, i. e. , submanifolds satisfying all the equations of the system. A fundamental fact is that every equation implies the one obtained by exterior differentiation, so that the complete set of equations associated to an exterior differential system constitutes a differential ideal in the algebra of all smooth forms. Thus the theory is coordinate-free and computations typically have an algebraic character; however, even when coordinates are used in intermediate steps, the use of exterior algebra helps to efficiently guide the computations, and as a consequence the treatment adapts well to geometrical and physical problems. A system of partial differential equations, with any number of inde pendent and dependent variables and involving partial derivatives of any order, can be written as an exterior differential system. In this case we are interested in integral manifolds on which certain coordinates remain independent. The corresponding notion in exterior differential systems is the independence condition: certain pfaffian forms remain linearly indepen dent. Partial differential equations and exterior differential systems with an independence condition are essentially the same object.

3264 and All That

Author : David Eisenbud
Publisher : Cambridge University Press
ISBN 13 : 1107017084
Total Pages : 633 pages
Book Rating : 4.1/5 (7 download)

DOWNLOAD NOW!

Book Synopsis 3264 and All That by : David Eisenbud

Download or read book 3264 and All That written by David Eisenbud and published by Cambridge University Press. This book was released on 2016-04-14 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: 3264, the mathematical solution to a question concerning geometric figures.

Symbolic Integration I

Author : Manuel Bronstein
Publisher : Springer Science & Business Media
ISBN 13 : 3662033860
Total Pages : 311 pages
Book Rating : 4.6/5 (62 download)

DOWNLOAD NOW!

Book Synopsis Symbolic Integration I by : Manuel Bronstein

Download or read book Symbolic Integration I written by Manuel Bronstein and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume in the series "Algorithms and Computation in Mathematics", is destined to become the standard reference work in the field. Manuel Bronstein is the number-one expert on this topic and his book is the first to treat the subject both comprehensively and in sufficient detail - incorporating new results along the way. The book addresses mathematicians and computer scientists interested in symbolic computation, developers and programmers of computer algebra systems as well as users of symbolic integration methods. Many algorithms are given in pseudocode ready for immediate implementation, making the book equally suitable as a textbook for lecture courses on symbolic integration.

An Introduction to Grobner Bases

Author : William W. Adams and Philippe Loustaunau
Publisher : American Mathematical Soc.
ISBN 13 : 9780821872161
Total Pages : 308 pages
Book Rating : 4.8/5 (721 download)

DOWNLOAD NOW!

Book Synopsis An Introduction to Grobner Bases by : William W. Adams and Philippe Loustaunau

Download or read book An Introduction to Grobner Bases written by William W. Adams and Philippe Loustaunau and published by American Mathematical Soc.. This book was released on 1994-07-21 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: A very carefully crafted introduction to the theory and some of the applications of Grobner bases ... contains a wealth of illustrative examples and a wide variety of useful exercises, the discussion is everywhere well-motivated, and further developments and important issues are well sign-posted ... has many solid virtues and is an ideal text for beginners in the subject ... certainly an excellent text. --Bulletin of the London Mathematical Society As the primary tool for doing explicit computations in polynomial rings in many variables, Grobner bases are an important component of all computer algebra systems. They are also important in computational commutative algebra and algebraic geometry. This book provides a leisurely and fairly comprehensive introduction to Grobner bases and their applications. Adams and Loustaunau cover the following topics: the theory and construction of Grobner bases for polynomials with coefficients in a field, applications of Grobner bases to computational problems involving rings of polynomials in many variables, a method for computing syzygy modules and Grobner bases in modules, and the theory of Grobner bases for polynomials with coefficients in rings. With over 120 worked-out examples and 200 exercises, this book is aimed at advanced undergraduate and graduate students. It would be suitable as a supplement to a course in commutative algebra or as a textbook for a course in computer algebra or computational commutative algebra. This book would also be appropriate for students of computer science and engineering who have some acquaintance with modern algebra.

Dissertation Abstracts International

Author :
Publisher :
ISBN 13 :
Total Pages : 700 pages
Book Rating : 4.F/5 ( download)

DOWNLOAD NOW!

Book Synopsis Dissertation Abstracts International by :

Download or read book Dissertation Abstracts International written by and published by . This book was released on 1998 with total page 700 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adaptive and Natural Computing Algorithms

Author : Marco Tomassini
Publisher : Springer
ISBN 13 : 9783642372124
Total Pages : 0 pages
Book Rating : 4.3/5 (721 download)

DOWNLOAD NOW!

Book Synopsis Adaptive and Natural Computing Algorithms by : Marco Tomassini

Download or read book Adaptive and Natural Computing Algorithms written by Marco Tomassini and published by Springer. This book was released on 2013-03-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book constitutes the refereed proceedings of the 11th International Conference on Adaptive and Natural Computing Algorithms, ICANNGA 2013, held in Lausanne, Switzerland, in April 2013. The 51 revised full papers presented were carefully reviewed and selected from a total of 91 submissions. The papers are organized in topical sections on neural networks, evolutionary computation, soft computing, bioinformatics and computational biology, advanced computing, and applications.

A Tutorial on Elliptic PDE Solvers and Their Parallelization

Author : Craig C. Douglas
Publisher : SIAM
ISBN 13 : 9780898718171
Total Pages : 153 pages
Book Rating : 4.7/5 (181 download)

DOWNLOAD NOW!

Book Synopsis A Tutorial on Elliptic PDE Solvers and Their Parallelization by : Craig C. Douglas

Download or read book A Tutorial on Elliptic PDE Solvers and Their Parallelization written by Craig C. Douglas and published by SIAM. This book was released on 2003-01-01 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compact yet thorough tutorial is the perfect introduction to the basic concepts of solving partial differential equations (PDEs) using parallel numerical methods. In just eight short chapters, the authors provide readers with enough basic knowledge of PDEs, discretization methods, solution techniques, parallel computers, parallel programming, and the run-time behavior of parallel algorithms to allow them to understand, develop, and implement parallel PDE solvers. Examples throughout the book are intentionally kept simple so that the parallelization strategies are not dominated by technical details.

Computer Vision - ACCV 2010

Author : Ron Kimmel
Publisher : Springer
ISBN 13 : 3642193099
Total Pages : 747 pages
Book Rating : 4.6/5 (421 download)

DOWNLOAD NOW!

Book Synopsis Computer Vision - ACCV 2010 by : Ron Kimmel

Download or read book Computer Vision - ACCV 2010 written by Ron Kimmel and published by Springer. This book was released on 2011-02-28 with total page 747 pages. Available in PDF, EPUB and Kindle. Book excerpt: The four-volume set LNCS 6492-6495 constitutes the thoroughly refereed post-proceedings of the 10th Asian Conference on Computer Vision, ACCV 2009, held in Queenstown, New Zealand in November 2010. All together the four volumes present 206 revised papers selected from a total of 739 Submissions. All current issues in computer vision are addressed ranging from algorithms that attempt to automatically understand the content of images, optical methods coupled with computational techniques that enhance and improve images, and capturing and analyzing the world's geometry while preparing the higher level image and shape understanding. Novel geometry techniques, statistical learning methods, and modern algebraic procedures are dealt with as well.

Abstracts of Papers Presented to the American Mathematical Society

Author : American Mathematical Society
Publisher :
ISBN 13 :
Total Pages : 718 pages
Book Rating : 4.E/5 ( download)

DOWNLOAD NOW!

Book Synopsis Abstracts of Papers Presented to the American Mathematical Society by : American Mathematical Society

Download or read book Abstracts of Papers Presented to the American Mathematical Society written by American Mathematical Society and published by . This book was released on 2005 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Exterior Differential Systems and the Calculus of Variations

Author : P.A. Griffiths
Publisher : Springer Science & Business Media
ISBN 13 : 1461581664
Total Pages : 348 pages
Book Rating : 4.4/5 (615 download)

DOWNLOAD NOW!

Book Synopsis Exterior Differential Systems and the Calculus of Variations by : P.A. Griffiths

Download or read book Exterior Differential Systems and the Calculus of Variations written by P.A. Griffiths and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: 15 0. PRELIMINARIES a) Notations from Manifold Theory b) The Language of Jet Manifolds c) Frame Manifolds d) Differentia! Ideals e) Exterior Differential Systems EULER-LAGRANGE EQUATIONS FOR DIFFERENTIAL SYSTEMS ~liTH ONE I. 32 INDEPENDENT VARIABLE a) Setting up the Problem; Classical Examples b) Variational Equations for Integral Manifolds of Differential Systems c) Differential Systems in Good Form; the Derived Flag, Cauchy Characteristics, and Prolongation of Exterior Differential Systems d) Derivation of the Euler-Lagrange Equations; Examples e) The Euler-Lagrange Differential System; Non-Degenerate Variational Problems; Examples FIRST INTEGRALS OF THE EULER-LAGRANGE SYSTEM; NOETHER'S II. 1D7 THEOREM AND EXAMPLES a) First Integrals and Noether's Theorem; Some Classical Examples; Variational Problems Algebraically Integrable by Quadratures b) Investigation of the Euler-Lagrange System for Some Differential-Geometric Variational Pro~lems: 2 i) ( K ds for Plane Curves; i i) Affine Arclength; 2 iii) f K ds for Space Curves; and iv) Delauney Problem. II I. EULER EQUATIONS FOR VARIATIONAL PROBLEfiJS IN HOMOGENEOUS SPACES 161 a) Derivation of the Equations: i) Motivation; i i) Review of the Classical Case; iii) the Genera 1 Euler Equations 2 K /2 ds b) Examples: i) the Euler Equations Associated to f for lEn; but for Curves in i i) Some Problems as in i) sn; Non- Curves in iii) Euler Equations Associated to degenerate Ruled Surfaces IV.

Discovering Mathematics with Magma

Author : Wieb Bosma
Publisher : Springer Science & Business Media
ISBN 13 : 3540376348
Total Pages : 387 pages
Book Rating : 4.5/5 (43 download)

DOWNLOAD NOW!

Book Synopsis Discovering Mathematics with Magma by : Wieb Bosma

Download or read book Discovering Mathematics with Magma written by Wieb Bosma and published by Springer Science & Business Media. This book was released on 2007-07-10 with total page 387 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the ontology and semantics of algebra, the computer algebra system Magma enables users to rapidly formulate and perform calculations in abstract parts of mathematics. Edited by the principal designers of the program, this book explores Magma. Coverage ranges from number theory and algebraic geometry, through representation theory and group theory to discrete mathematics and graph theory. Includes case studies describing computations underpinning new theoretical results.