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Author: Joachim von zur Gathen Publisher: Cambridge University Press ISBN: 1107245257 Category : Computers Languages : en Pages : 811
Book Description
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.
Author: Jonathan Isaac Publisher: DW Books ISBN: 1956007091 Category : Biography & Autobiography Languages : en Pages : 144
Book Description
Facing public criticism, peer hostility, and widespread disapproval, would you compromise your principles to blend in with the crowd, or would you stand for what you believe? On July 31, 2020, the Orlando Magic starting forward Jonathan Isaac was the lone NBA player not to kneel for the national anthem amid a league-wide demonstration in support of Black Lives Matter. Standing alone, knowing the scrutiny to come, Jonathan had a peace he at one time never could have imagined possible. In Why I Stand, Jonathan shares the journey of how—through a series of divine connections and a willingness to follow Christ—his fear and insecurity-driven life was transformed into one of confidence and purpose. From his childhood in the Bronx to his high school years in Florida, from rail-skinny freshman at FSU to top draft pick in the NBA, Jonathan uses his life story to illuminate the freedom and peace found in the love of Jesus Christ. More than the story of an NBA player’s transformation from man on the court to man of God, Why I Stand is a testament to His love, power, and grace that extends to us all. This book is a discovery that no matter your level of confidence today, God’s strength will develop in your weakness. That courage is found in trusting that God is greater than your fears. As Jonathan takes you through the experiences that drove his decisions, he offers insight and inspiration to help you to grow to a point where standing alone is better than not standing at all.
Author: Sue-Ellen Case Publisher: Routledge ISBN: 1134122330 Category : Art Languages : en Pages : 263
Book Description
From Faust and Edison, to John Cage and Lara Croft, this inspiring book reviews classical plays to contemporary issues and examines how science has been performed throughout history.
Author: Arjeh M. Cohen Publisher: World Scientific ISBN: 9789812380487 Category : Mathematics Languages : en Pages : 536
Book Description
Annotation The advent of mathematical software has been one of the most important events in mathematics. Mathematical software systems are used to construct examples, to prove theorems, and to find new mathematical phenomena. On the other hand, mathematical research often motivates developments of new algorithms and new systems. Mathematical software systems rely on the cooperation of mathematicians, designers of algorithms, and mathematical programmers. This book is aimed at software developers in mathematics and programming mathematicians, but it also provides opportunities to discuss the topics with mathematicians.
Author: Mikhail J. Atallah Publisher: CRC Press ISBN: 1439832331 Category : Computers Languages : en Pages : 1904
Book Description
Algorithms and Theory of Computation Handbook, Second Edition in a two volume set, provides an up-to-date compendium of fundamental computer science topics and techniques. It also illustrates how the topics and techniques come together to deliver efficient solutions to important practical problems. New to the Second Edition: Along with updating and revising many of the existing chapters, this second edition contains more than 20 new chapters. This edition now covers external memory, parameterized, self-stabilizing, and pricing algorithms as well as the theories of algorithmic coding, privacy and anonymity, databases, computational games, and communication networks. It also discusses computational topology, computational number theory, natural language processing, and grid computing and explores applications in intensity-modulated radiation therapy, voting, DNA research, systems biology, and financial derivatives. This best-selling handbook continues to help computer professionals and engineers find significant information on various algorithmic topics. The expert contributors clearly define the terminology, present basic results and techniques, and offer a number of current references to the in-depth literature. They also provide a glimpse of the major research issues concerning the relevant topics
Author: Panos M. Pardalos Publisher: American Mathematical Soc. ISBN: 0821809164 Category : Mathematics Languages : en Pages : 335
Book Description
This volume is based on proceedings held during the DIMACS workshop on Randomization Methods in Algorithm Design in December 1997 at Princeton. The workshop was part of the DIMACS Special Year on Discrete Probability. It served as an interdisciplinary research workshop that brought together a mix of leading theorists, algorithmists and practitioners working in the theory and implementation aspects of algorithms involving randomization. Randomization has played an important role in the design of both sequential and parallel algorithms. The last decade has witnessed tremendous growth in the area of randomized algorithms. During this period, randomized algorithms went from being a tool in computational number theory to finding widespread applications in many problem domains. Major topics covered include randomization techniques for linear and integer programming problems, randomization in the design of approximate algorithms for combinatorial problems, randomization in parallel and distributed algorithms, practical implementation of randomized algorithms, de-randomization issues, and pseudo-random generators. This volume focuses on theory and implementation aspects of algorithms involving randomization. It would be suitable as a graduate or advanced graduate text.
Author: Carsten Schneider Publisher: Springer ISBN: 3319732323 Category : Mathematics Languages : en Pages : 282
Book Description
This book discusses the latest advances in algorithms for symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations. It presents a collection of papers on original research topics from the Waterloo Workshop on Computer Algebra (WWCA-2016), a satellite workshop of the International Symposium on Symbolic and Algebraic Computation (ISSAC’2016), which was held at Wilfrid Laurier University (Waterloo, Ontario, Canada) on July 23–24, 2016. This workshop and the resulting book celebrate the 70th birthday of Sergei Abramov (Dorodnicyn Computing Centre of the Russian Academy of Sciences, Moscow), whose highly regarded and inspirational contributions to symbolic methods have become a crucial benchmark of computer algebra and have been broadly adopted by many Computer Algebra systems.
Author: W.A. de Graaf Publisher: Elsevier ISBN: 0080535453 Category : Mathematics Languages : en Pages : 407
Book Description
The aim of the present work is two-fold. Firstly it aims at a giving an account of many existing algorithms for calculating with finite-dimensional Lie algebras. Secondly, the book provides an introduction into the theory of finite-dimensional Lie algebras. These two subject areas are intimately related. First of all, the algorithmic perspective often invites a different approach to the theoretical material than the one taken in various other monographs (e.g., [42], [48], [77], [86]). Indeed, on various occasions the knowledge of certain algorithms allows us to obtain a straightforward proof of theoretical results (we mention the proof of the Poincaré-Birkhoff-Witt theorem and the proof of Iwasawa's theorem as examples). Also proofs that contain algorithmic constructions are explicitly formulated as algorithms (an example is the isomorphism theorem for semisimple Lie algebras that constructs an isomorphism in case it exists). Secondly, the algorithms can be used to arrive at a better understanding of the theory. Performing the algorithms in concrete examples, calculating with the concepts involved, really brings the theory of life.
Author: Victor G. Ganzha Publisher: Springer Science & Business Media ISBN: 3642602185 Category : Computers Languages : en Pages : 507
Book Description
The development of powerful computer algebra systems has considerably ex tended the scope of problems of scientific computing which can now be solved successfully with the aid of computers. However, as the field of applications of computer algebra in scientific computing becomes broader and more complex, there is a danger of separation between theory, systems, and applications. For this reason, we felt the need to bring together the researchers who now ap ply the tools of computer algebra for the solution of problems in scientific computing, in order to foster new and closer interactions. CASC'99 is the second conference devoted to applications of computer al gebra in scientific computing. The first conference in this sequence, CASC'98, was held 20-24 April 1998 in St. Petersburg, Russia. This volume contains revised versions of the papers submitted by the par ticipants and accepted by the program committee after a thorough reviewing process. The collection of papers included in the proceedings covers various topics of computer algebra methods, algorithms and software applied to scien tific computing: symbolic-numeric analysis and solving differential equations, efficient computations with polynomials, groups, matrices and other related objects, special purpose programming environments, application to physics, mechanics, optics and to other areas. In particular, a significant group of papers deals with applications of com puter algebra methods for the solution of current problems in group theory, which mostly arise in mathematical physics.
Author: Joachim von zur Gathen
Author: Alan J.A. Robinson
Author: Jonathan Isaac
Author: Sue-Ellen Case
Author: Arjeh M. Cohen
Author: Mikhail J. Atallah
Author: Panos M. Pardalos
Author: Viktor G. Ganzha
Author: Carsten Schneider
Author: W.A. de Graaf
Author: Victor G. Ganzha