Algebra Of Polynomials PDF Download
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Author | : Paul A. Fuhrmann |
Publisher | : Springer Science & Business Media |
Total Pages | : 368 |
Release | : 2012-10-01 |
Genre | : Mathematics |
ISBN | : 1441987347 |
Download A Polynomial Approach to Linear Algebra Book in PDF, ePub and Kindle
A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular. This technique is very powerful as becomes clear from the analysis of canonical forms (Frobenius, Jordan). It should be emphasized that these functional methods are not only of great theoretical interest, but lead to computational algorithms. Quadratic forms are treated from the same perspective, with emphasis on the important examples of Bezoutian and Hankel forms. These topics are of great importance in applied areas such as signal processing, numerical linear algebra, and control theory. Stability theory and system theoretic concepts, up to realization theory, are treated as an integral part of linear algebra. Finally there is a chapter on Hankel norm approximation for the case of scalar rational functions which allows the reader to access ideas and results on the frontier of current research.
Author | : Hans J. Stetter |
Publisher | : SIAM |
Total Pages | : 475 |
Release | : 2004-05-01 |
Genre | : Mathematics |
ISBN | : 0898715571 |
Download Numerical Polynomial Algebra Book in PDF, ePub and Kindle
This book is the first comprehensive treatment of numerical polynomial algebra, an area which so far has received little attention.
Author | : |
Publisher | : Elsevier |
Total Pages | : 335 |
Release | : 2000-04-01 |
Genre | : Mathematics |
ISBN | : 0080954146 |
Download Algebra of Polynomials Book in PDF, ePub and Kindle
Algebra of Polynomials
Author | : Jaime Gutierrez |
Publisher | : Springer |
Total Pages | : 222 |
Release | : 2015-01-20 |
Genre | : Computers |
ISBN | : 3319150812 |
Download Computer Algebra and Polynomials Book in PDF, ePub and Kindle
Algebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory frequently in our daily life. This book focuses on the theory and algorithms for polynomials over various coefficient domains such as a finite field or ring. The operations on polynomials in the focus are factorization, composition and decomposition, basis computation for modules, etc. Algorithms for such operations on polynomials have always been a central interest in computer algebra, as it combines formal (the variables) and algebraic or numeric (the coefficients) aspects. The papers presented were selected from the Workshop on Computer Algebra and Polynomials, which was held in Linz at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) during November 25-29, 2013, at the occasion of the Special Semester on Applications of Algebra and Number Theory.
Author | : Ronald S. Irving |
Publisher | : Springer Science & Business Media |
Total Pages | : 283 |
Release | : 2004-01-08 |
Genre | : Mathematics |
ISBN | : 0387403973 |
Download Integers, Polynomials, and Rings Book in PDF, ePub and Kindle
This book began life as a set of notes that I developed for a course at the University of Washington entitled Introduction to Modern Algebra for Tea- ers. Originally conceived as a text for future secondary-school mathematics teachers, it has developed into a book that could serve well as a text in an - dergraduatecourseinabstractalgebraoracoursedesignedasanintroduction to higher mathematics. This book di?ers from many undergraduate algebra texts in fundamental ways; the reasons lie in the book’s origin and the goals I set for the course. The course is a two-quarter sequence required of students intending to f- ?ll the requirements of the teacher preparation option for our B.A. degree in mathematics, or of the teacher preparation minor. It is required as well of those intending to matriculate in our university’s Master’s in Teaching p- gram for secondary mathematics teachers. This is the principal course they take involving abstraction and proof, and they come to it with perhaps as little background as a year of calculus and a quarter of linear algebra. The mathematical ability of the students varies widely, as does their level of ma- ematical interest.
Author | : Victor V. Prasolov |
Publisher | : Springer Science & Business Media |
Total Pages | : 311 |
Release | : 2009-09-23 |
Genre | : Mathematics |
ISBN | : 3642039804 |
Download Polynomials Book in PDF, ePub and Kindle
Covers its topic in greater depth than the typical standard books on polynomial algebra
Author | : Franz Winkler |
Publisher | : Springer Science & Business Media |
Total Pages | : 294 |
Release | : 1996-08-02 |
Genre | : Mathematics |
ISBN | : 9783211827598 |
Download Polynomial Algorithms in Computer Algebra Book in PDF, ePub and Kindle
For several years now I have been teaching courses in computer algebra at the Universitat Linz, the University of Delaware, and the Universidad de Alcala de Henares. In the summers of 1990 and 1992 I have organized and taught summer schools in computer algebra at the Universitat Linz. Gradually a set of course notes has emerged from these activities. People have asked me for copies of the course notes, and different versions of them have been circulating for a few years. Finally I decided that I should really take the time to write the material up in a coherent way and make a book out of it. Here, now, is the result of this work. Over the years many students have been helpful in improving the quality of the notes, and also several colleagues at Linz and elsewhere have contributed to it. I want to thank them all for their effort, in particular I want to thank B. Buchberger, who taught me the theory of Grabner bases nearly two decades ago, B. F. Caviness and B. D. Saunders, who first stimulated my interest in various problems in computer algebra, G. E. Collins, who showed me how to compute in algebraic domains, and J. R. Sendra, with whom I started to apply computer algebra methods to problems in algebraic geometry. Several colleagues have suggested improvements in earlier versions of this book. However, I want to make it clear that I am responsible for all remaining mistakes.
Author | : Lynn Marecek |
Publisher | : |
Total Pages | : |
Release | : 2020-05-06 |
Genre | : |
ISBN | : 9781951693848 |
Download Intermediate Algebra 2e Book in PDF, ePub and Kindle
Author | : Alexander Prestel |
Publisher | : Springer Science & Business Media |
Total Pages | : 269 |
Release | : 2013-04-17 |
Genre | : Mathematics |
ISBN | : 3662046482 |
Download Positive Polynomials Book in PDF, ePub and Kindle
Positivity is one of the most basic mathematical concepts, involved in many areas of mathematics (analysis, real algebraic geometry, functional analysis, etc.). The main objective of the book is to give useful characterizations of polynomials. Beyond basic knowledge in algebra, only valuation theory as explained in the appendix is needed.
Author | : Peter Borwein |
Publisher | : Springer Science & Business Media |
Total Pages | : 491 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461207932 |
Download Polynomials and Polynomial Inequalities Book in PDF, ePub and Kindle
After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality round off the text. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis.