solving polynomial equation systems iv volume 4 buchberger theory and beyond

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Solving Polynomial Equation Systems Iv Volume 4 Buchberger Theory And Beyond

Author : Teo Mora
ISBN : 9781316381380
Genre : Mathematics
File Size : 20. 49 MB
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In this fourth and final volume the author extends Buchberger's Algorithm in three different directions. First, he extends the theory to group rings and other Ore-like extensions, and provides an operative scheme that allows one to set a Buchberger theory over any effective associative ring. Second, he covers similar extensions as tools for discussing parametric polynomial systems, the notion of SAGBI-bases, Gröbner bases over invariant rings and Hironaka's theory. Finally, Mora shows how Hilbert's followers - notably Janet, Gunther and Macaulay - anticipated Buchberger's ideas and discusses the most promising recent alternatives by Gerdt (involutive bases) and Faugère (F4 and F5). This comprehensive treatment in four volumes is a significant contribution to algorithmic commutative algebra that will be essential reading for algebraists and algebraic geometers.

Princeton Companion To Applied Mathematics

Author : Nicholas J. Higham
ISBN : 0691150397
Genre : Algebra
File Size : 67. 19 MB
Format : PDF, ePub, Mobi
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This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. Features nearly 200 entries organized thematically and written by an international team of distinguished contributors Presents the major ideas and branches of applied mathematics in a clear and accessible way Explains important mathematical concepts, methods, equations, and applications Introduces the language of applied mathematics and the goals of applied mathematical research Gives a wide range of examples of mathematical modeling Covers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much more Explores the connections between applied mathematics and other disciplines Includes suggestions for further reading, cross-references, and a comprehensive index

The Art Of Computer Programming

Author : Donald E. Knuth
ISBN : 0321751043
Genre : Computers
File Size : 53. 72 MB
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A specially priced library of all four volumes available so far of Knuth's The Art of Computer Programming. * *The Art of Computer Programming is the most influential work ever written on the subject, and Volume 4A is the first new volume in more than 35 years. *Knuth is the foremost authority in the world on computer algorithms and programming. *The suggested list price is a $50 savings versus purchasing the volumes individually. Ever since the first volume first appeared in 1968, Donald Knuth'sThe Art of Computer Programming has been universally acclaimed as the most important work ever written on the subject of computer programming. Dr. Knuth published two more volumes in fairly quick succession, with Volume 3 being released in 1973. These three volumes have achieved legendary status among computer scientists. His many admirers have been anxiously awaiting the release of the next piece ever since. Finally, after a wait of more than thirty-five years, the first part of Volume 4 is at last ready for publication. This boxed set brings together Volumes 1 - 4A in one elegant case, and offers the purchaser a $50 discount off the price of buying the four volumes individually. Having this library on their shelves will be a badge of honor for all serious programmers worldwide. Donald E. Knuth (Stanford, CA) is one of the most revered figures in all of computer science. Knuth began in 1962 to prepare textbooks about programming techniques, and this work evolved into a projected seven-volume series entitled The Art of Computer Programming . Volumes 1-3 first appeared in 1968, 1969, and 1973. Having revised these three in 1997, he is now working full time on the remaining volumes. Approximately one million copies have already been printed, including translations into six languages. See the overflow page for a list of his accomplishments and honors.


Author : Marko Petkovsek
ISBN : 1568810636
Genre : Mathematics
File Size : 76. 30 MB
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This book is of interest to mathematicians and computer scientists working in finite mathematics and combinatorics. It presents a breakthrough method for analyzing complex summations. Beautifully written, the book contains practical applications as well as conceptual developments that will have applications in other areas of mathematics. From the table of contents: * Proof Machines * Tightening the Target * The Hypergeometric Database * The Five Basic Algorithms: Sister Celine's Method, Gosper&'s Algorithm, Zeilberger's Algorithm, The WZ Phenomenon, Algorithm Hyper * Epilogue: An Operator Algebra Viewpoint * The WWW Sites and the Software (Maple and Mathematica) Each chapter contains an introduction to the subject and ends with a set of exercises.

Fundamental Finite Element Analysis And Applications

Author : M. Asghar Bhatti
ISBN : 0471648086
Genre : Mathematics
File Size : 25. 27 MB
Format : PDF
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*Finite Element Analysis with Mathematica and Matlab Computations and Practical Applications is an innovative, hands-on and practical introduction to the Finite Element Method that provides a powerful tool for learning this essential analytic method. *Support website ( includes complete sets of Mathematica and Matlab implementations for all examples presented in the text. Also included on the site are problems designed for self-directed labs using commercial FEA software packages ANSYS and ABAQUS. *Offers a practical and hands-on approach while providing a solid theoretical foundation.

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