Algorithms and Computation in Mathematics – serie
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65 produkter
Gröbner Cover
Inbunden, 2019
1419 kr
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This book is divided into two parts, one theoretical and one focusing on applications, and offers a complete description of the Canonical Gröbner Cover, the most accurate algebraic method for discussing parametric polynomial systems. It also includes applications to the Automatic Deduction of …
Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers
Av Kenji Iohara, Philippe Malbos m. fl.
Inbunden, 2020
1202 kr
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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. …
Two Algebraic Byways from Differential Equations: Gröbner Bases and Quivers
Av Kenji Iohara, Philippe Malbos m. fl.
Häftad, 2021
1202 kr
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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. …
Topics in Galois Fields
Av Dirk Hachenberger, Dieter Jungnickel
Inbunden, 2020
1419 kr
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This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive …
D-Finite Functions
Inbunden, 2023
1202 kr
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Defined as solutions of linear differential or difference equations with polynomial coefficients, D-finite functions play an important role in various areas of mathematics. This book is a comprehensive introduction to the theory of these functions with a special emphasis on computer algebra …
D-Finite Functions
Häftad, 2024
876 kr
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Defined as solutions of linear differential or difference equations with polynomial coefficients, D-finite functions play an important role in various areas of mathematics. This book is a comprehensive introduction to the theory of these functions with a special emphasis on computer algebra …
Perfect Matchings
A Theory of Matching Covered Graphs
Av Cláudio L. Lucchesi, U.S.R. Murty
Inbunden, 2024
1636 kr
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Beginning with its origins in the pioneering work of W.T. Tutte in 1947, this monograph systematically traces through some of the impressive developments in matching theory. A graph is matchable if it has a perfect matching. A matching covered graph is a connected graph on at least two vertices in …
Perfect Matchings
A Theory of Matching Covered Graphs
Av Cláudio L. Lucchesi, U.S.R. Murty
Häftad, 2025
1636 kr
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Beginning with its origins in the pioneering work of W.T. Tutte in 1947, this monograph systematically traces through some of the impressive developments in matching theory. A graph is matchable if it has a perfect matching. A matching covered graph is a connected graph on at least two vertices in …
Computer Algebra System OSCAR
Algorithms and Examples
Av Wolfram Decker, Christian Eder m. fl.
Inbunden, 2025
1636 kr
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This book presents version 1.0 of the new Computer Algebra System OSCAR.Written in Julia, OSCAR builds on and vastly extends four cornerstone systems:ANTIC for number theory, GAP for group and representation theory, polymake for polyhedral and tropical geometry, and Singular for commutative algebra …
Computer Algebra System OSCAR
Algorithms and Examples
Av Wolfram Decker, Christian Eder m. fl.
Häftad, 2026
1636 kr
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This book presents version 1.0 of the new Computer Algebra System OSCAR.Written in Julia, OSCAR builds on and vastly extends four cornerstone systems:ANTIC for number theory, GAP for group and representation theory, polymake for polyhedral and tropical geometry, and Singular for commutative algebra …
Principles of Nonlinear Filtering Theory
Av Stephen S.-T. Yau, Xiuqiong Chen m. fl.
Inbunden, 2024
767 kr
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This text presents a comprehensive and unified treatment of nonlinear filtering theory, with a strong emphasis on its mathematical underpinnings. It is tailored to meet the needs of a diverse readership, including mathematically inclined engineers and scientists at both graduate and post-graduate …
Principles of Nonlinear Filtering Theory
Av Stephen S.-T. Yau, Xiuqiong Chen m. fl.
Häftad, 2025
550 kr
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This text presents a comprehensive and unified treatment of nonlinear filtering theory, with a strong emphasis on its mathematical underpinnings. It is tailored to meet the needs of a diverse readership, including mathematically inclined engineers and scientists at both graduate and post-graduate …
Symbolic Asymptotics
Inbunden, 2004
1093 kr
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Symbolic asymptotics has recently undergone considerable theoretical development, especially in areas where power series are no longer an appropriate tool. Implementation is beginning to follow.The present book, written by one of the leading specialists in the area, is currently the only one to …
Computational Methods in Commutative Algebra and Algebraic Geometry
Häftad, 2004
767 kr
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From the reviews: "... Many parts of the book can be read by anyone with a basic abstract algebra course... it was one of the author's intentions to equip students who are interested in computational problems with the necessary algebraic background in pure mathematics and to encourage them to do …
Symbolic Integration I
Transcendental Functions
Inbunden, 2004
1310 kr
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Symbolic Integration I is destined to become the standard reference work in the field. Manuel Bronstein is a leading 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 …
Computational Ergodic Theory
Av Geon Ho Choe
Inbunden, 2005
550 kr
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Ergodic theory is hard to study because it is based on measure theory, which is a technically difficult subject to master for ordinary students, especially for physics majors. Many of the examples are introduced from a different perspective than in other books and theoretical ideas can be gradually …
Solving Polynomial Equations
Foundations, Algorithms, and Applications
Av Alicia Dickenstein, Ioannis Z. Emiris
Inbunden, 2005
550 kr
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The subject of this book is the solution of polynomial equations, that is, s- tems of (generally) non-linear algebraic equations. This study is at the heart of several areas of mathematics and its applications. It has provided the - tivation for advances in di?erent branches of mathematics such as …
Error-Correcting Linear Codes
Classification by Isometry and Applications
Av Anton Betten, Michael Braun m. fl.
Inbunden, 2006
1093 kr
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The fascinating theory of error-correcting codes is a rather new addition to the list of mathematical disciplines. It grew out of the need to communicate information electronically, and is currently no more than 60 years old. - ing an applied discipline by de?nition, a surprisingly large number of …
Classification Algorithms for Codes and Designs
Av Petteri Kaski, Patric R.J. Östergård
Inbunden, 2005
1310 kr
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A new starting-point and a new method are requisite, to insure a complete [classi?cation of the Steiner triple systems of order 15]. This method was furnished, and its tedious and di?cult execution und- taken, by Mr. Cole. F. N. Cole, L. D. Cummings, and H. S. White (1917) [129] The history of …
Computing in Algebraic Geometry
A Quick Start using SINGULAR
Av Wolfram Decker, Christoph Lossen
Inbunden, 2006
550 kr
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This book provides a quick access to computational tools for algebraic geometry, the mathematical discipline which handles solution sets of polynomial equations. Originating from a number of intense one week schools taught by the authors, the text is designed so as to provide a step by step …
Self-Dual Codes and Invariant Theory
Av Gabriele Nebe, Eric M. Rains m. fl.
Inbunden, 2006
1853 kr
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One of the most remarkable and beautiful theorems in coding theory is Gleason's 1970 theorem about the weight enumerators of self-dual codes and their connections with invariant theory. In the past 35 years there have been hundreds of papers written about generalizations and applications of this …
Algorithms in Real Algebraic Geometry
Av Saugata Basu, Richard Pollack m. fl.
Inbunden, 2006
1419 kr
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The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear …
Discovering Mathematics with Magma
Reducing the Abstract to the Concrete
Inbunden, 2006
1093 kr
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The appearance of this volume celebrates the ?rst decade of Magma, a new computeralgebrasystemlaunchedattheFirstMagmaConferenceonCom- tational Algebra held at Queen Mary and West?eld College, London, August 1993. This book introduces the reader to the role Magma plays in advanced mathematical …
Polynomials
Inbunden, 2004
1093 kr
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From the reviews:"... Despite the appearance [...] in a series titled Algorithms and Computation of Mathematics, computation occupies only a small part of the monograph. It is best described as a useful reference for one's personal collection and a text for a full-year course given to graduate or …
Computations in Algebraic Geometry with Macaulay 2
Av David Eisenbud, Daniel R. Grayson m. fl.
Inbunden, 2001
550 kr
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Systems of polynomial equations arise throughout mathematics, science, and engineering. Algebraic geometry provides powerful theoretical techniques for studying the qualitative and quantitative features of their solution sets. Re cently developed algorithms have made theoretical aspects of the …
Algorithmic Topology and Classification of 3-Manifolds
Inbunden, 2007
930 kr
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From the reviews of the 1st edition:"This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration of 3-manifolds. …
Binary Quadratic Forms
An Algorithmic Approach
Av Johannes Buchmann, Ulrich Vollmer m. fl.
Inbunden, 2007
550 kr
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This book deals with algorithmic problems concerning binary quadratic forms 2 2 f(X,Y)= aX +bXY +cY with integer coe?cients a, b, c, the mathem- ical theories that permit the solution of these problems, and applications to cryptography. A considerable part of the theory is developed for forms with …
Algebraic Aspects of Cryptography
Av Neal Koblitz
Inbunden, 1998
1962 kr
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This book is intended as a text for a course on cryptography with emphasis on algebraic methods. It is written so as to be accessible to graduate or advanced undergraduate students, as well as to scientists in other fields. The first three chapters form a self-contained introduction to basic …
Some Tapas of Computer Algebra
Av Arjeh M. Cohen, Hans Cuypers m. fl.
Inbunden, 1998
550 kr
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In the years 1994, 1995, two EIDMA mini courses on Computer Algebra were given at the Eindhoven University of Technology by, apart from ourselves, various invited lecturers. (EIDMA is the Research School 'Euler Institute for Discrete Mathematics and its Applications'.) The idea of the courses was …
Gröbner Deformations of Hypergeometric Differential Equations
Av Mutsumi Saito, Bernd Sturmfels m. fl.
Inbunden, 1999
659 kr
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In recent years, new algorithms for dealing with rings of differential operators have been discovered and implemented. A main tool is the theory of Gröbner bases, which is reexamined here from the point of view of geometric deformations. Perturbation techniques have a long tradition in analysis; …
