A Polynomial Decomposition Algorithm Over Factorial Domains

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Maple V: Mathematics and its Applications

Author : Robert J. Lopez
Publisher : Springer Science & Business Media
ISBN 13 : 1461202639
Total Pages : 238 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Maple V: Mathematics and its Applications by : Robert J. Lopez

Download or read book Maple V: Mathematics and its Applications written by Robert J. Lopez and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Maple Summer Workshop and Symposium, MSWS '94, reflects the growing commu nity of Maple users around the world. This volume contains the contributed papers. A careful inspection of author affiliations will reveal that they come from North America, Europe, and Australia. In fact, fifteen come from the United States, two from Canada, one from Australia, and nine come from Europe. Of European papers, two are from Ger many, two are from the Netherlands, two are from Spain, and one each is from Switzerland, Denmark, and the United Kingdom. More important than the geographical diversity is the intellectual range of the contributions. We begin to see in this collection of works papers in which Maple is used in an increasingly flexible way. For example, there is an application in computer science that uses Maple as a tool to create a new utility. There is an application in abstract algebra where Maple has been used to create new functionalities for computing in a rational function field. There are applications to geometrical optics, digital signal processing, and experimental design.

Computer Algebra Handbook

Author : Johannes Grabmeier
Publisher : Springer Science & Business Media
ISBN 13 : 3642558267
Total Pages : 656 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Computer Algebra Handbook by : Johannes Grabmeier

Download or read book Computer Algebra Handbook written by Johannes Grabmeier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook gives a comprehensive snapshot of a field at the intersection of mathematics and computer science with applications in physics, engineering and education. Reviews 67 software systems and offers 100 pages on applications in physics, mathematics, computer science, engineering chemistry and education.

Computer Algebra in Scientific Computing CASC’99

Author : Victor G. Ganzha
Publisher : Springer Science & Business Media
ISBN 13 : 3642602185
Total Pages : 507 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Computer Algebra in Scientific Computing CASC’99 by : Victor G. Ganzha

Download or read book Computer Algebra in Scientific Computing CASC’99 written by Victor G. Ganzha and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computer Algebra in Scientific Computing

Author : V.G. Ganzha
Publisher : Springer
ISBN 13 : 3540451951
Total Pages : 323 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Computer Algebra in Scientific Computing by : V.G. Ganzha

Download or read book Computer Algebra in Scientific Computing written by V.G. Ganzha and published by Springer. This book was released on 2006-11-30 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Workshop on Computer Algebra in Scientific Computing, CASC 2006. The book presents 25 revised full papers together with 2 invited papers, covering various expanding applications of computer algebra to scientific computing, the computer algebra systems themselves, and the CA algorithms. Topics addressed are studies in Gröbner bases, polynomial algebra, homological algebra, quantifier elimination, celestial mechanics, and more.

LATIN '92

Author : Imre Simon
Publisher : Springer Science & Business Media
ISBN 13 : 9783540552840
Total Pages : 564 pages
Book Rating : 4.5/5 (528 download)

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Book Synopsis LATIN '92 by : Imre Simon

Download or read book LATIN '92 written by Imre Simon and published by Springer Science & Business Media. This book was released on 1992-03-11 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of LATIN '92, a theoretical computer science symposium (Latin American Theoretical Informatics) held in S o Paulo, Brazil in April 1992. LATIN is intended to be a comprehensive symposium in the theory of computing, but for this first meeting the following areas were chosen for preferential coverage: algorithms and data structures, automata and formal languages, computability and complexity theory, computational geometry, cryptography, parallel and distributed computation, symbolic and algebraic computation, and combinatorial and algebraic aspects of computer science. The volume includesfull versions of the invited papers by 11 distinguished guest lecturers as well as 32 contributed papers selected from 66 submissions from authors with affiliations in 26 countries.

Computer Algebra in Scientific Computing

Author : Viktor G. Ganzha
Publisher : Springer Science & Business Media
ISBN 13 : 3642572014
Total Pages : 431 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Computer Algebra in Scientific Computing by : Viktor G. Ganzha

Download or read book Computer Algebra in Scientific Computing written by Viktor G. Ganzha and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Third Workshop on Computer Algebra in Scientific Computing, Samarkand, Octobe5r 5-9, 2000

Near-Rings and Near-Fields

Author : Yuen Fong
Publisher : Springer Science & Business Media
ISBN 13 : 9401009546
Total Pages : 208 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Near-Rings and Near-Fields by : Yuen Fong

Download or read book Near-Rings and Near-Fields written by Yuen Fong and published by Springer Science & Business Media. This book was released on 2011-06-27 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Conference on Near-Rings and Near-Fields, Stellenbosch, South Africa, July 9-16, 1997

Comptes Rendus Mathématiques de L'Académie Des Sciences

Author : Royal Society of Canada. Academy of Science
Publisher :
ISBN 13 :
Total Pages : 332 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Comptes Rendus Mathématiques de L'Académie Des Sciences by : Royal Society of Canada. Academy of Science

Download or read book Comptes Rendus Mathématiques de L'Académie Des Sciences written by Royal Society of Canada. Academy of Science and published by . This book was released on 1991 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:

LATIN ...

Author :
Publisher :
ISBN 13 :
Total Pages : 570 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis LATIN ... by :

Download or read book LATIN ... written by and published by . This book was released on 1992 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 1078 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1078 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Serdica Mathematical Journal

Author :
Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Serdica Mathematical Journal by :

Download or read book Serdica Mathematical Journal written by and published by . This book was released on 2006 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Plane Algebraic Curves

Author : BRIESKORN
Publisher : Birkhäuser
ISBN 13 : 3034850972
Total Pages : 730 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Plane Algebraic Curves by : BRIESKORN

Download or read book Plane Algebraic Curves written by BRIESKORN and published by Birkhäuser. This book was released on 2013-11-11 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Abstract Algebra

Author : Stephen Lovett
Publisher : CRC Press
ISBN 13 : 1000605442
Total Pages : 570 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Abstract Algebra by : Stephen Lovett

Download or read book Abstract Algebra written by Stephen Lovett and published by CRC Press. This book was released on 2022-07-05 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt: When a student of mathematics studies abstract algebra, he or she inevitably faces questions in the vein of, "What is abstract algebra" or "What makes it abstract?" Algebra, in its broadest sense, describes a way of thinking about classes of sets equipped with binary operations. In high school algebra, a student explores properties of operations (+, −, ×, and ÷) on real numbers. Abstract algebra studies properties of operations without specifying what types of number or object we work with. Any theorem established in the abstract context holds not only for real numbers but for every possible algebraic structure that has operations with the stated properties. This textbook intends to serve as a first course in abstract algebra. The selection of topics serves both of the common trends in such a course: a balanced introduction to groups, rings, and fields; or a course that primarily emphasizes group theory. The writing style is student-centered, conscientiously motivating definitions and offering many illustrative examples. Various sections or sometimes just examples or exercises introduce applications to geometry, number theory, cryptography and many other areas. This book offers a unique feature in the lists of projects at the end of each section. the author does not view projects as just something extra or cute, but rather an opportunity for a student to work on and demonstrate their potential for open-ended investigation. The projects ideas come in two flavors: investigative or expository. The investigative projects briefly present a topic and posed open-ended questions that invite the student to explore the topic, asking and to trying to answer their own questions. Expository projects invite the student to explore a topic with algebraic content or pertain to a particular mathematician’s work through responsible research. The exercises challenge the student to prove new results using the theorems presented in the text. The student then becomes an active participant in the development of the field.

Handbook of Mathematics

Author : Vialar Thierry
Publisher : BoD - Books on Demand
ISBN 13 : 2955199052
Total Pages : 1134 pages
Book Rating : 4.9/5 (551 download)

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Book Synopsis Handbook of Mathematics by : Vialar Thierry

Download or read book Handbook of Mathematics written by Vialar Thierry and published by BoD - Books on Demand. This book was released on 2023-08-22 with total page 1134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book, revised, consists of XI Parts and 28 Chapters covering all areas of mathematics. It is a tool for students, scientists, engineers, students of many disciplines, teachers, professionals, writers and also for a general reader with an interest in mathematics and in science. It provides a wide range of mathematical concepts, definitions, propositions, theorems, proofs, examples, and numerous illustrations. The difficulty level can vary depending on chapters, and sustained attention will be required for some. The structure and list of Parts are quite classical: I. Foundations of Mathematics, II. Algebra, III. Number Theory, IV. Geometry, V. Analytic Geometry, VI. Topology, VII. Algebraic Topology, VIII. Analysis, IX. Category Theory, X. Probability and Statistics, XI. Applied Mathematics. Appendices provide useful lists of symbols and tables for ready reference. Extensive cross-references allow readers to find related terms, concepts and items (by page number, heading, and objet such as theorem, definition, example, etc.). The publisher’s hope is that this book, slightly revised and in a convenient format, will serve the needs of readers, be it for study, teaching, exploration, work, or research.

Complex Analysis 2

Author : Eberhard Freitag
Publisher : Springer Science & Business Media
ISBN 13 : 3642205542
Total Pages : 521 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Complex Analysis 2 by : Eberhard Freitag

Download or read book Complex Analysis 2 written by Eberhard Freitag and published by Springer Science & Business Media. This book was released on 2011-06-10 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains a complete self-contained introduction to highlights of classical complex analysis. New proofs and some new results are included. All needed notions are developed within the book: with the exception of some basic facts which can be found in the ̄rst volume. There is no comparable treatment in the literature.

Fundamental Problems of Algorithmic Algebra

Author : Chee-Keng Yap
Publisher : Oxford University Press on Demand
ISBN 13 : 9780195125160
Total Pages : 511 pages
Book Rating : 4.1/5 (251 download)

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Book Synopsis Fundamental Problems of Algorithmic Algebra by : Chee-Keng Yap

Download or read book Fundamental Problems of Algorithmic Algebra written by Chee-Keng Yap and published by Oxford University Press on Demand. This book was released on 2000 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: Popular computer algebra systems such as Maple, Macsyma, Mathematica, and REDUCE are now basic tools on most computers. Efficient algorithms for various algebraic operations underlie all these systems. Computer algebra, or algorithmic algebra, studies these algorithms and their properties and represents a rich intersection of theoretical computer science with classical mathematics. Fundamental Problems of Algorithmic Algebra provides a systematic and focused treatment of a collection of core problemsthe computational equivalents of the classical Fundamental Problem of Algebra and its derivatives. Topics covered include the GCD, subresultants, modular techniques, the fundamental theorem of algebra, roots of polynomials, Sturm theory, Gaussian lattice reduction, lattices and polynomial factorization, linear systems, elimination theory, Grobner bases, and more. Features · Presents algorithmic ideas in pseudo-code based on mathematical concepts and can be used with any computer mathematics system · Emphasizes the algorithmic aspects of problems without sacrificing mathematical rigor · Aims to be self-contained in its mathematical development · Ideal for a first course in algorithmic or computer algebra for advanced undergraduates or beginning graduate students

Episodes in the History of Modern Algebra (1800-1950)

Author : Jeremy J. Gray
Publisher : American Mathematical Soc.
ISBN 13 : 0821869043
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Episodes in the History of Modern Algebra (1800-1950) by : Jeremy J. Gray

Download or read book Episodes in the History of Modern Algebra (1800-1950) written by Jeremy J. Gray and published by American Mathematical Soc.. This book was released on 2011-08-31 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebra, as a subdiscipline of mathematics, arguably has a history going back some 4000 years to ancient Mesopotamia. The history, however, of what is recognized today as high school algebra is much shorter, extending back to the sixteenth century, while the history of what practicing mathematicians call "modern algebra" is even shorter still. The present volume provides a glimpse into the complicated and often convoluted history of this latter conception of algebra by juxtaposing twelve episodes in the evolution of modern algebra from the early nineteenth-century work of Charles Babbage on functional equations to Alexandre Grothendieck's mid-twentieth-century metaphor of a ``rising sea'' in his categorical approach to algebraic geometry. In addition to considering the technical development of various aspects of algebraic thought, the historians of modern algebra whose work is united in this volume explore such themes as the changing aims and organization of the subject as well as the often complex lines of mathematical communication within and across national boundaries. Among the specific algebraic ideas considered are the concept of divisibility and the introduction of non-commutative algebras into the study of number theory and the emergence of algebraic geometry in the twentieth century. The resulting volume is essential reading for anyone interested in the history of modern mathematics in general and modern algebra in particular. It will be of particular interest to mathematicians and historians of mathematics.