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Date : 1999-12-30
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Fundamental Problems of Algorithmic Algebra Chee Keng Yap ~ 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
Fundamental Problems of Algorithmic Algebra Hardcover ~ 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
Fundamental Problems of Algorithmic Algebra Table of Contents ~ Fundamental Problems of Algorithmic Algebra Contents Preface Introduction 01 Fundamental Problem of Algebra 02 Fundamental Problem of Classical Algebraic Geometry 03 Fundamental Problem of Ideal Theory 04 Representation and Size 05 Computational Models 06 Asymptotic Notations 07 Complexity of Multiplication 08 On Bit versus Algebraic
Fundamental Problems in Algorithmic Algebra ~ Fundamental Problems in Algorithmic Algebra Focuses on a collection of core problems in the field of Computer Algebra or Algorithmic Algebra It attempts to be selfcontained in its mathematical development while addressing the algorithmic aspects of problems
Fundamental Problems in Algorithmic Algebra ~ Problem of Algebra Lecture 0 Page 1 Lecture 0 INTRODUCTION This lecture is an orientation on the central problems that concern us Specifically we identify three families of “Fundamental Problems” in algorithmic algebra §1–§3 In the rest of the lecture §4–
Fundamental Problems in Algorithmic Algebra Download book ~ Fundamental Problems in Algorithmic Algebra This book explains the following topics Arithmetic The Greatest Common Divisor Subresultants Modular Techniques Fundamental Theorem of Algebra Roots of Polynomials Sturm Theory Gaussian Lattice Reduction Lattice Reduction and Applications Linear Systems Elimination Theory Groebner Bases Bounds in Polynomial Ideal Theory and Continued
Fundamental Problems of Algorithmic Algebra Chee Keng ~ 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
Descargar Fundamental problems in algorithmic algebra en ~ The field of Computer Algebra or Algorithmic Algebra constitute the study of these algorithms and their properties and represents a rich intersection of theoretical computer science with very classical mathematics Yap’s book focuses on a collection of core problems in this area in effect they are the computational versions of the classical
Fundamental Problems in Algorithmic Algebra ~ Historically what we identified as “Fundamental problems” in these lectures were clearly central to the development of algebra and even of mathematics There is an enormous amount of relevant classical literature on these fundamental problems in part a testimony to the strong algorithmic nature of mathematics before the twentieth century
Fundamental problems of algorithmic algebra Book 2000 ~ Fundamental problems of algorithmic algebra CheeKeng Yap Home WorldCat Home About WorldCat Help Search Search for Library Items Search for Lists Search for Contacts Search for a Library Create lists bibliographies and reviews or Search WorldCat Find items in libraries near you
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