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Modular Algorithms in Symbolic Summation and Symbolic Integration
This work brings together two streams in computer algebra: symbolic integration and summation on the one hand, and fast algorithmics on the other hand. In many algorithmically oriented areas of computer science, theanalysisof- gorithms–placedintothe limelightbyDonKnuth’stalkat the 1970ICM –provides a crystal-clear criterion for success. The researcher who designs an algorithmthat is faster (asymptotically, in the worst case) than any previous method receives instant grati?cation: her result will be recognized as valuable. Alas, the downside is that such results come along quite infrequently, despite our best efforts. An alternative evaluation method is to run a new algorithm on example...
Handbook of Enumerative Combinatorics
Presenting the state of the art, the Handbook of Enumerative Combinatorics brings together the work of today's most prominent researchers. The contributors survey the methods of combinatorial enumeration along with the most frequent applications of these methods.This important new work is edited by Miklos Bona of the University of Florida where he
Modern Computer Algebra
Computer algebra systems are now ubiquitous in all areas of science and engineering. This highly successful textbook, widely regarded as the 'bible of computer algebra', gives a thorough introduction to the algorithmic basis of the mathematical engine in computer algebra systems. Designed to accompany one- or two-semester courses for advanced undergraduate or graduate students in computer science or mathematics, its comprehensiveness and reliability has also made it an essential reference for professionals in the area. Special features include: detailed study of algorithms including time analysis; implementation reports on several topics; complete proofs of the mathematical underpinnings; and a wide variety of applications (among others, in chemistry, coding theory, cryptography, computational logic, and the design of calendars and musical scales). A great deal of historical information and illustration enlivens the text. In this third edition, errors have been corrected and much of the Fast Euclidean Algorithm chapter has been renovated.
Beyond the Ties of Blood
In the tradition of Isabel Allende, a family saga that explores the lives touched by the tragedies of Chile's vibrant history Imprisoned and tortured in the aftermath of the 1973 coup while her love, Manuel, is savagely murdered, Eugenia Aldunate is a rare survivor of the countless "disappeared" that would haunt Chile's collective memory for decades. While still in prison, Eugenia discovers she is pregnant and is exiled to Mexico, then the United States to raise her daughter alone, forbidden to return. She builds a quiet life for herself, but the scars on her arms to do not fade. Horrific nightmares plague Eugenia each night, while each morning she aches for her homeland. Nearly twenty years...
Algorithmic Methods in Non-Commutative Algebra
The already broad range of applications of ring theory has been enhanced in the eighties by the increasing interest in algebraic structures of considerable complexity, the so-called class of quantum groups. One of the fundamental properties of quantum groups is that they are modelled by associative coordinate rings possessing a canonical basis, which allows for the use of algorithmic structures based on Groebner bases to study them. This book develops these methods in a self-contained way, concentrating on an in-depth study of the notion of a vast class of non-commutative rings (encompassing most quantum groups), the so-called Poincaré-Birkhoff-Witt rings. We include algorithms which treat essential aspects like ideals and (bi)modules, the calculation of homological dimension and of the Gelfand-Kirillov dimension, the Hilbert-Samuel polynomial, primality tests for prime ideals, etc.
Handbook of Geometric Constraint Systems Principles
The Handbook of Geometric Constraint Systems Principles is an entry point to the currently used principal mathematical and computational tools and techniques of the geometric constraint system (GCS). It functions as a single source containing the core principles and results, accessible to both beginners and experts. The handbook provides a guide for students learning basic concepts, as well as experts looking to pinpoint specific results or approaches in the broad landscape. As such, the editors created this handbook to serve as a useful tool for navigating the varied concepts, approaches and results found in GCS research. Key Features: A comprehensive reference handbook authored by top rese...
Mathematics by Experiment
This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational P
Differential Equations with Symbolic Computation
This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions.
Symbolic Asymptotics
Accessible to anyone with a good general background in mathematics, but it nonetheless gets right to the cutting edge of active research. Some results appear here for the first time, while others have hitherto only been given in preprints.
Metaverse Investing
· Have you heard about the Metaverse? · Do you understand its concept and what it is capable of? · Do you want to get involved now, while it is still a fairly new idea? The Metaverse can broadly be described as an online virtual environment where users can interact with the computing environment and other users. Playing VR games and chatrooms are probably the best examples of this but the Metaverse is ever expanding and is quickly moving on to other areas which will include things like cryptocurrencies, NFT’s and other investments. This book, METAVERSE: The #1 Guide to Conquer the Blockchain World and Invest in Virtual Lands, NFT (Crypto Art), Altcoins and Cryptocurrency + Best DeFi Pro...
