Modular Algorithms In Symbolic Summation And Symbolic Integration
DOWNLOAD
FREE 30 Days
Download Modular Algorithms In Symbolic Summation And Symbolic Integration PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Modular Algorithms In Symbolic Summation And Symbolic Integration book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Modular Algorithms In Symbolic Summation And Symbolic Integration
DOWNLOAD
FREE 30 Days
Author : Jürgen Gerhard
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-12
Modular Algorithms In Symbolic Summation And Symbolic Integration written by Jürgen Gerhard and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-12 with Computers categories.
This book brings together two streams of computer algebra: symbolic summation and integration on the one hand, and fast algorithmics on the other hand. In symbolic integration and summation, not too many algorithms with analyzed run times are known, and until now the mathematically oriented world of integration and summation and the computer science world of algorithm analysis have not had much to say to each other. The progress presented in this work towards overcoming this situation is threefold: - a clear framework for algorithm analysis with the appropriate parameters is provided, - modular algorithmic techniques are introduced in this area, and - almost optimal algorithms are presented for the basic problems.
Modular Algorithms In Symbolic Summation And Symbolic Integration
DOWNLOAD
FREE 30 Days
Author : Jürgen Gerhard
language : en
Publisher: Springer
Release Date : 2004-11-12
Modular Algorithms In Symbolic Summation And Symbolic Integration written by Jürgen Gerhard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-12 with Computers categories.
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 examples; this has its obvious problems, but is sometimes the best we can do. George Collins, one of the fathers of computer algebra and a great experimenter,wrote in 1969: “I think this demonstrates again that a simple analysis is often more revealing than a ream of empirical data (although both are important). ” Within computer algebra, some areas have traditionally followed the former methodology, notably some parts of polynomial algebra and linear algebra. Other areas, such as polynomial system solving, have not yet been amenable to this - proach. The usual “input size” parameters of computer science seem inadequate, and although some natural “geometric” parameters have been identi?ed (solution dimension, regularity), not all (potential) major progress can be expressed in this framework. Symbolic integration and summation have been in a similar state.
Latest Advances In Symbolic Algorithms
DOWNLOAD
FREE 30 Days
Author : Ilias Kotsireas
language : en
Publisher: World Scientific
Release Date : 2007
Latest Advances In Symbolic Algorithms written by Ilias Kotsireas and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Computers categories.
Written by world-renowned experts, the book is a collection of tutorial presentations and research papers catering to the latest advances in symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. The papers were presented at a workshop celebrating the 60th birthday of Sergei Abramov (Russia), whose highly influential contributions to symbolic methods are adopted in many leading computer algebra systems.
Hypergeometric Summation
DOWNLOAD
FREE 30 Days
Author : Wolfram Koepf
language : en
Publisher: Springer
Release Date : 2014-06-10
Hypergeometric Summation written by Wolfram Koepf and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-10 with Computers categories.
Modern algorithmic techniques for summation, most of which were introduced in the 1990s, are developed here and carefully implemented in the computer algebra system MapleTM. The algorithms of Fasenmyer, Gosper, Zeilberger, Petkovšek and van Hoeij for hypergeometric summation and recurrence equations, efficient multivariate summation as well as q-analogues of the above algorithms are covered. Similar algorithms concerning differential equations are considered. An equivalent theory of hyperexponential integration due to Almkvist and Zeilberger completes the book. The combination of these results gives orthogonal polynomials and (hypergeometric and q-hypergeometric) special functions a solid algorithmic foundation. Hence, many examples from this very active field are given. The materials covered are suitable for an introductory course on algorithmic summation and will appeal to students and researchers alike.
Symbolic Integration I
DOWNLOAD
FREE 30 Days
Author : Manuel Bronstein
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Symbolic Integration I written by Manuel Bronstein and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.
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.
Modern Computer Algebra
DOWNLOAD
FREE 30 Days
Author : Joachim von zur Gathen
language : en
Publisher: Cambridge University Press
Release Date : 2013-04-25
Modern Computer Algebra written by Joachim von zur Gathen and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-25 with Computers categories.
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.
Computer Mathematics
DOWNLOAD
FREE 30 Days
Author : Ruyong Feng
language : en
Publisher: Springer
Release Date : 2014-09-30
Computer Mathematics written by Ruyong Feng and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-30 with Mathematics categories.
This book covers original research and the latest advances in symbolic, algebraic and geometric computation; computational methods for differential and difference equations, symbolic-numerical computation; mathematics software design and implementation; and scientific and engineering applications based on features, invited talks, special sessions and contributed papers presented at the 9th (in Fukuoka, Japan in 2009) and 10th (in Beijing China in 2012) Asian Symposium on Computer Mathematics (ASCM). Thirty selected and refereed articles in the book present the conference participants’ ideas and views on researching mathematics using computers.
D Finite Functions
DOWNLOAD
FREE 30 Days
Author : Manuel Kauers
language : en
Publisher: Springer Nature
Release Date : 2023-11-08
D Finite Functions written by Manuel Kauers and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-08 with Mathematics categories.
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 algorithms for computing with them: algorithms for detecting relations from given data, for evaluating D-finite functions, for executing closure properties, for obtaining various kinds of “explicit” expressions, for factoring operators, and for definite and indefinite symbolic summation and integration are explained in detail. The book comes “with batteries included” in the sense that it requires no background in computer algebra as the relevant facts from this area are summarized in the beginning. This makes the book accessible to a wide range of readers, from mathematics students who plan to work themselves on D-finite functions to researchers who want to apply the theory to their own work. Hundreds of exercises invite the reader to apply the techniques in the book and explore further aspects of the theory on their own. Solutions to all exercises are given in the appendix. When algorithms for D-finite functions came up in the early 1990s, computer proofs were met with a certain skepticism. Fortunately, these times are over and computer algebra has become a standard tool for many mathematicians. Yet, this powerful machinery is still not as widely known as it deserves. This book helps to spread the word that certain tasks can be safely delegated to a computer algebra system, and also what the limitations of these techniques are.
Computer Algebra In Scientific Computing
DOWNLOAD
FREE 30 Days
Author : Vladimir P. Gerdt
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-18
Computer Algebra In Scientific Computing written by Vladimir P. Gerdt and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-18 with Computers categories.
This book constitutes the refereed proceedings of the 12th International Workshop on Computer Algebra in Scientific Computing, CASC 2010, held in Tsakhadzor, Armenia, in September 2010. The book includes two invited talks and an abstract in addition to 23 full papers.
Symbolic Integration I
DOWNLOAD
FREE 30 Days
Author : Manuel Bronstein
language : en
Publisher: Springer
Release Date : 2004-09-30
Symbolic Integration I written by Manuel Bronstein and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-30 with Mathematics categories.
First edition received rave reviews The second edition offers a new chapter on parallel integration Includes additional exercises