Polynomials
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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 | : Cheon Seoung Ryoo |
Publisher | : BoD – Books on Demand |
Total Pages | : 174 |
Release | : 2019-05-02 |
Genre | : Mathematics |
ISBN | : 183880269X |
Download Polynomials Book in PDF, Epub and Kindle
Polynomials are well known for their ability to improve their properties and for their applicability in the interdisciplinary fields of engineering and science. Many problems arising in engineering and physics are mathematically constructed by differential equations. Most of these problems can only be solved using special polynomials. Special polynomials and orthonormal polynomials provide a new way to analyze solutions of various equations often encountered in engineering and physical problems. In particular, special polynomials play a fundamental and important role in mathematics and applied mathematics. Until now, research on polynomials has been done in mathematics and applied mathematics only. This book is based on recent results in all areas related to polynomials. Divided into sections on theory and application, this book provides an overview of the current research in the field of polynomials. Topics include cyclotomic and Littlewood polynomials; Descartes' rule of signs; obtaining explicit formulas and identities for polynomials defined by generating functions; polynomials with symmetric zeros; numerical investigation on the structure of the zeros of the q-tangent polynomials; investigation and synthesis of robust polynomials in uncertainty on the basis of the root locus theory; pricing basket options by polynomial approximations; and orthogonal expansion in time domain method for solving Maxwell's equations using paralleling-in-order scheme.
Author | : Qazi Ibadur Rahman |
Publisher | : Oxford University Press |
Total Pages | : 760 |
Release | : 2002 |
Genre | : Language Arts & Disciplines |
ISBN | : 9780198534938 |
Download Analytic Theory of Polynomials Book in PDF, Epub and Kindle
Presents easy to understand proofs of same of the most difficult results about polynomials demonstrated by means of applications
Author | : George M. Phillips |
Publisher | : Springer Science & Business Media |
Total Pages | : 325 |
Release | : 2006-04-06 |
Genre | : Mathematics |
ISBN | : 0387216820 |
Download Interpolation and Approximation by Polynomials Book in PDF, Epub and Kindle
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 | : Theodore S Chihara |
Publisher | : Courier Corporation |
Total Pages | : 276 |
Release | : 2011-02-17 |
Genre | : Mathematics |
ISBN | : 0486479293 |
Download An Introduction to Orthogonal Polynomials Book in PDF, Epub and Kindle
"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 | : 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.
Author | : Ronald S. Irving |
Publisher | : Springer Science & Business Media |
Total Pages | : 308 |
Release | : 2003-12-04 |
Genre | : Mathematics |
ISBN | : 9780387201726 |
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 | : Morris Marden |
Publisher | : American Mathematical Soc. |
Total Pages | : 260 |
Release | : 1949-12-31 |
Genre | : Mathematics |
ISBN | : 0821815032 |
Download Geometry of Polynomials Book in PDF, Epub and Kindle
During the years since the first edition of this well-known monograph appeared, the subject (the geometry of the zeros of a complex polynomial) has continued to display the same outstanding vitality as it did in the first 150 years of its history, beginning with the contributions of Cauchy and Gauss. Thus, the number of entries in the bibliography of this edition had to be increased from about 300 to about 600 and the book enlarged by one third. It now includes a more extensive treatment of Hurwitz polynomials and other topics. The new material on infrapolynomials, abstract polynomials, and matrix methods is of particular interest.
Author | : E.J. Barbeau |
Publisher | : Springer Science & Business Media |
Total Pages | : 484 |
Release | : 2003-10-09 |
Genre | : Mathematics |
ISBN | : 9780387406275 |
Download Polynomials Book in PDF, Epub and Kindle
The book extends the high school curriculum and provides a backdrop for later study in calculus, modern algebra, numerical analysis, and complex variable theory. Exercises introduce many techniques and topics in the theory of equations, such as evolution and factorization of polynomials, solution of equations, interpolation, approximation, and congruences. The theory is not treated formally, but rather illustrated through examples. Over 300 problems drawn from journals, contests, and examinations test understanding, ingenuity, and skill. Each chapter ends with a list of hints; there are answers to many of the exercises and solutions to all of the problems. In addition, 69 "explorations" invite the reader to investigate research problems and related topics.
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.