Download or read online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get book now. This site is like a library, Use search box in the widget to get ebook that you want.

Polynomials

Polynomials Author Victor V. Prasolov
ISBN-10 9783642039805
Release 2009-09-23
Pages 302
Download Link Click Here

Covers its topic in greater depth than the typical standard books on polynomial algebra



Solving Polynomial Equations

Solving Polynomial Equations Author Alicia Dickenstein
ISBN-10 9783540273578
Release 2006-01-27
Pages 426
Download Link Click Here

The subject of this book is the solution of polynomial equations, that is, s- tems of (generally) non-linear algebraic equations. This study is at the heart of several areas of mathematics and its applications. It has provided the - tivation for advances in di?erent branches of mathematics such as algebra, geometry, topology, and numerical analysis. In recent years, an explosive - velopment of algorithms and software has made it possible to solve many problems which had been intractable up to then and greatly expanded the areas of applications to include robotics, machine vision, signal processing, structural molecular biology, computer-aided design and geometric modelling, as well as certain areas of statistics, optimization and game theory, and b- logical networks. At the same time, symbolic computation has proved to be an invaluable tool for experimentation and conjecture in pure mathematics. As a consequence, the interest in e?ective algebraic geometry and computer algebrahasextendedwellbeyonditsoriginalconstituencyofpureandapplied mathematicians and computer scientists, to encompass many other scientists and engineers. While the core of the subject remains algebraic geometry, it also calls upon many other aspects of mathematics and theoretical computer science, ranging from numerical methods, di?erential equations and number theory to discrete geometry, combinatorics and complexity theory. Thegoalofthisbookistoprovideageneralintroduction tomodernma- ematical aspects in computing with multivariate polynomials and in solving algebraic systems.



Polynomials and Polynomial Inequalities

Polynomials and Polynomial Inequalities Author Peter Borwein
ISBN-10 0387945091
Release 1995-09-27
Pages 480
Download Link Click Here

This book examines polynomials as they arise in analysis, focusing on polynomials and rational functions of a single variable. Coverage includes Chebyshev and Descartes systems, denseness and inequalities satisfied by polynomials and rational functions.



Polynomials

Polynomials Author
ISBN-10 9783642040122
Release 2009
Pages
Download Link Click Here

Polynomials has been writing in one form or another for most of life. You can find so many inspiration from Polynomials also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Polynomials book for free.



Effective Polynomial Computation

Effective Polynomial Computation Author Richard Zippel
ISBN-10 9781461531883
Release 2012-12-06
Pages 363
Download Link Click Here

Effective Polynomial Computation is an introduction to the algorithms of computer algebra. It discusses the basic algorithms for manipulating polynomials including factoring polynomials. These algorithms are discussed from both a theoretical and practical perspective. Those cases where theoretically optimal algorithms are inappropriate are discussed and the practical alternatives are explained. Effective Polynomial Computation provides much of the mathematical motivation of the algorithms discussed to help the reader appreciate the mathematical mechanisms underlying the algorithms, and so that the algorithms will not appear to be constructed out of whole cloth. Preparatory to the discussion of algorithms for polynomials, the first third of this book discusses related issues in elementary number theory. These results are either used in later algorithms (e.g. the discussion of lattices and Diophantine approximation), or analogs of the number theoretic algorithms are used for polynomial problems (e.g. Euclidean algorithm and p-adic numbers). Among the unique features of Effective Polynomial Computation is the detailed material on greatest common divisor and factoring algorithms for sparse multivariate polynomials. In addition, both deterministic and probabilistic algorithms for irreducibility testing of polynomials are discussed.



Algorithms and Computation

Algorithms and Computation Author Peter Eades
ISBN-10 9783540429852
Release 2001-12-05
Pages 780
Download Link Click Here

This book constitutes the refereed proceedings of the 12th International Conference on Algorithms and Computation, ISAAC 2001, held in Christchurch, New Zealand in December 2001. The 62 revised full papers presented together with three invited papers were carefully reviewed and selected from a total of 124 submissions. The papers are organized in topical sections on combinatorial generation and optimization, parallel and distributed algorithms, graph drawing and algorithms, computational geometry, computational complexity and cryptology, automata and formal languages, computational biology and string matching, and algorithms and data structures.



Computations in Algebraic Geometry with Macaulay 2

Computations in Algebraic Geometry with Macaulay 2 Author David Eisenbud
ISBN-10 9783662048511
Release 2013-03-14
Pages 329
Download Link Click Here

This book presents algorithmic tools for algebraic geometry, with experimental applications. It also introduces Macaulay 2, a computer algebra system supporting research in algebraic geometry, commutative algebra, and their applications. The algorithmic tools presented here are designed to serve readers wishing to bring such tools to bear on their own problems. The first part of the book covers Macaulay 2 using concrete applications; the second emphasizes details of the mathematics.



Algorithms in Real Algebraic Geometry

Algorithms in Real Algebraic Geometry Author Saugata Basu
ISBN-10 9783540330981
Release 2006-07-06
Pages 662
Download Link Click Here

This is the first graduate textbook on the algorithmic aspects of real algebraic geometry. The main ideas and techniques presented form a coherent and rich body of knowledge. Mathematicians will find relevant information about the algorithmic aspects. Researchers in computer science and engineering will find the required mathematical background. Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students. This second edition contains several recent results on discriminants of symmetric matrices and other relevant topics.



Polynomial Algorithms in Computer Algebra

Polynomial Algorithms in Computer Algebra Author Franz Winkler
ISBN-10 3211827595
Release 1996-08-02
Pages 270
Download Link Click Here

The book gives a thorough introduction to the mathematical underpinnings of computer algebra. The subjects treated range from arithmetic of integers and polynomials to fast factorization methods, Gröbner bases, and algorithms in algebraic geometry. The algebraic background for all the algorithms presented in the book is fully described, and most of the algorithms are investigated with respect to their computational complexity. Each chapter closes with a brief survey of the related literature.



Computer Algebra in Scientific Computing

Computer Algebra in Scientific Computing Author Vladimir P. Gerdt
ISBN-10 9783319240213
Release 2015-09-10
Pages 494
Download Link Click Here

This book constitutes the proceedings of the 17th International Workshop on Computer Algebra in Scientific Computing, CASC 2015, held in Aachen, Germany, in September 2015. The 35 full papers presented in this volume were carefully reviewed and selected from 42 submissions. They deal with the ongoing progress both in theoretical computer algebra and its expanding applications. New and closer interactions are fostered by combining the area of computer algebra methods and systems and the application of the tools of computer algebra for the solution of problems in scientific computing.



Solving Polynomial Systems Using Continuation for Engineering and Scientific Problems

Solving Polynomial Systems Using Continuation for Engineering and Scientific Problems Author Alexander Morgan
ISBN-10 9780898716788
Release 2009-06-04
Pages 228
Download Link Click Here

An elementary introduction to polynomial continuation.



Some Tapas of Computer Algebra

Some Tapas of Computer Algebra Author Arjeh M. Cohen
ISBN-10 3540634800
Release 1998-12-15
Pages 352
Download Link Click Here

This book presents the basic concepts and algorithms of computer algebra using practical examples that illustrate their actual use in symbolic computation. A wide range of topics are presented, including: Groebner bases, real algebraic geometry, lie algebras, factorization of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. This book is a must read for anyone working in the area of computer algebra, symbolic computation, and computer science.



Involution

Involution Author Werner M. Seiler
ISBN-10 9783642012877
Release 2009-10-26
Pages 650
Download Link Click Here

The book provides a self-contained account of the formal theory of general, i.e. also under- and overdetermined, systems of differential equations which in its central notion of involution combines geometric, algebraic, homological and combinatorial ideas.



Algorithms in Algebraic Geometry and Applications

Algorithms in Algebraic Geometry and Applications Author Laureano Gonzalez-Vega
ISBN-10 9783034891042
Release 2012-12-06
Pages 406
Download Link Click Here

Algorithms in Algebraic Geometry and Applications has been writing in one form or another for most of life. You can find so many inspiration from Algorithms in Algebraic Geometry and Applications also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Algorithms in Algebraic Geometry and Applications book for free.



Computing the Zeros of Analytic Functions

Computing the Zeros of Analytic Functions Author Peter Kravanja
ISBN-10 9783540465188
Release 2007-05-06
Pages 112
Download Link Click Here

Computing all the zeros of an analytic function and their respective multiplicities, locating clusters of zeros and analytic fuctions, computing zeros and poles of meromorphic functions, and solving systems of analytic equations are problems in computational complex analysis that lead to a rich blend of mathematics and numerical analysis. This book treats these four problems in a unified way. It contains not only theoretical results (based on formal orthogonal polynomials or rational interpolation) but also numerical analysis and algorithmic aspects, implementation heuristics, and polished software (the package ZEAL) that is available via the CPC Program Library. Graduate studets and researchers in numerical mathematics will find this book very readable.



Computational Methods in Commutative Algebra and Algebraic Geometry

Computational Methods in Commutative Algebra and Algebraic Geometry Author Wolmer Vasconcelos
ISBN-10 3540213112
Release 2004-05-18
Pages 408
Download Link Click Here

This ACM volume deals with tackling problems that can be represented by data structures which are essentially matrices with polynomial entries, mediated by the disciplines of commutative algebra and algebraic geometry. The discoveries stem from an interdisciplinary branch of research which has been growing steadily over the past decade. The author covers a wide range, from showing how to obtain deep heuristics in a computation of a ring, a module or a morphism, to developing means of solving nonlinear systems of equations - highlighting the use of advanced techniques to bring down the cost of computation. Although intended for advanced students and researchers with interests both in algebra and computation, many parts may be read by anyone with a basic abstract algebra course.



Numerical Methods for Roots of Polynomials

Numerical Methods for Roots of Polynomials  Author J.M. McNamee
ISBN-10 0080489478
Release 2007-08-17
Pages 354
Download Link Click Here

Numerical Methods for Roots of Polynomials - Part I (along with volume 2 covers most of the traditional methods for polynomial root-finding such as Newton’s, as well as numerous variations on them invented in the last few decades. Perhaps more importantly it covers recent developments such as Vincent’s method, simultaneous iterations, and matrix methods. There is an extensive chapter on evaluation of polynomials, including parallel methods and errors. There are pointers to robust and efficient programs. In short, it could be entitled “A Handbook of Methods for Polynomial Root-finding . This book will be invaluable to anyone doing research in polynomial roots, or teaching a graduate course on that topic. First comprehensive treatment of Root-Finding in several decades Gives description of high-grade software and where it can be down-loaded Very up-to-date in mid-2006; long chapter on matrix methods Includes Parallel methods, errors where appropriate Invaluable for research or graduate course