Author : Andrzej Schinzel
Publisher :
Page : 0 pages
File Size : 24,9 MB
Release : 2016-10-30
Category :
ISBN : 9780472751945
Complete proofs of both new results and original work on polynomials and Diophantine equations are presented here for the first time in book form. Although the results are technical, they will be of interest to algebraists and those interested in algebraic number theory.
Author : Andrzej Schinzel
Publisher :
Page : 276 pages
File Size : 18,24 MB
Release : 1982
Category : Mathematics
ISBN :
Author : Ida Kantor
Publisher : American Mathematical Soc.
Page : 359 pages
File Size : 11,76 MB
Release : 2015-08-27
Category : Mathematics
ISBN : 1470422611
Mathematics++ is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in contemporary research in computer science, engineering, and other fields. The areas are: measure theory, high-dimensional geometry, Fourier analysis, representations of groups, multivariate polynomials, and topology. For each of the areas, the authors introduce basic notions, examples, and results. The presentation is clear and accessible, stressing intuitive understanding, and it includes carefully selected exercises as an integral part. Theory is complemented by applications--some quite surprising--in theoretical computer science and discrete mathematics. The chapters are independent of one another and can be studied in any order. It is assumed that the reader has gone through the basic mathematics courses. Although the book was conceived while the authors were teaching Ph.D. students in theoretical computer science and discrete mathematics, it will be useful for a much wider audience, such as mathematicians specializing in other areas, mathematics students deciding what specialization to pursue, or experts in engineering or other fields.
Author : George M. Phillips
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 48,8 MB
Release : 2006-04-06
Category : Mathematics
ISBN : 0387216820
In addition to coverage of univariate interpolation and approximation, the text includes material on multivariate interpolation and multivariate numerical integration, a generalization of the Bernstein polynomials that has not previously appeared in book form, and a greater coverage of Peano kernel theory than is found in most textbooks. There are many worked examples and each section ends with a number of carefully selected problems that extend the student's understanding of the text. The author is well known for his clarity of writing and his many contributions as a researcher in approximation theory.
Author : Gradimir V Milovanovic
Publisher : World Scientific
Page : 844 pages
File Size : 17,62 MB
Release : 1994-06-28
Category : Science
ISBN : 9814506486
The book contains some of the most important results on the analysis of polynomials and their derivatives. Besides the fundamental results which are treated with their proofs, the book also provides an account of the most recent developments concerning extremal properties of polynomials and their derivatives in various metrics with an extensive analysis of inequalities for trigonometric sums and algebraic polynomials, as well as their zeros. The final chapter provides some selected applications of polynomials in approximation theory and computer aided geometric design (CAGD). One can also find in this book several new research problems and conjectures with sufficient information concerning the results obtained to date towards the investigation of their solution.
Author : Victor V. Prasolov
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 21,79 MB
Release : 2009-09-23
Category : Mathematics
ISBN : 3642039804
Covers its topic in greater depth than the typical standard books on polynomial algebra
Author : Themistocles M. Rassias
Publisher : World Scientific
Page : 658 pages
File Size : 29,96 MB
Release : 1993
Category : Mathematics
ISBN : 9789810206147
This volume presents an account of some of the most important work that has been done on various research problems in the theory of polynomials of one and several variables and their applications. It is dedicated to P L Chebyshev, a leading Russian mathematician.
Author : Theodore S Chihara
Publisher : Courier Corporation
Page : 276 pages
File Size : 40,24 MB
Release : 2011-02-17
Category : Mathematics
ISBN : 0486479293
"This concise introduction covers general elementary theory related to orthogonal polynomials and assumes only a first undergraduate course in real analysis. Topics include the representation theorem and distribution functions, continued fractions and chain sequences, the recurrence formula and properties of orthogonal polynomials, special functions, and some specific systems of orthogonal polynomials. 1978 edition"--
Author : Isaac Woungang
Publisher : World Scientific
Page : 725 pages
File Size : 27,10 MB
Release : 2010
Category : Computers
ISBN : 9812837167
The last few years have witnessed rapid advancements in information and coding theory research and applications. This book provides a comprehensive guide to selected topics, both ongoing and emerging, in information and coding theory. Consisting of contributions from well-known and high-profile researchers in their respective specialties, topics that are covered include source coding; channel capacity; linear complexity; code construction, existence and analysis; bounds on codes and designs; space-time coding; LDPC codes; and codes and cryptography.All of the chapters are integrated in a manner that renders the book as a supplementary reference volume or textbook for use in both undergraduate and graduate courses on information and coding theory. As such, it will be a valuable text for students at both undergraduate and graduate levels as well as instructors, researchers, engineers, and practitioners in these fields.Supporting Powerpoint Slides are available upon request for all instructors who adopt this book as a course text.
Author : Liviu C. Florescu
Publisher : Springer Nature
Page : 226 pages
File Size : 11,56 MB
Release :
Category :
ISBN : 3031677846
