Polynomials
eBook - PDF

Polynomials

Theory and Application

  1. 172 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Polynomials

Theory and Application

About this book

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.

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Yes, you can access Polynomials by Cheon Seoung Ryoo in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Publisher
IntechOpen
Year
2019
Print ISBN
9781838802691
eBook ISBN
9781838806392
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Polynomials - Theory and Application
  2. TOC
  3. Preface
  4. Section 1 - Theory of Polynomials
  5. Chapter 1 - Cyclotomic and Littlewood Polynomials Associated to Algebras
  6. Chapter 2 - New Aspects of Descartesā€™ Rule of Signs
  7. Chapter 3 - Obtaining Explicit Formulas and Identities for Polynomials Defined by Generating Functionsā€¦
  8. Chapter 4 - Polynomials with Symmetric Zeros
  9. Chapter 5 - A Numerical Investigation on the Structure of the Zeros of the Q-Tangent Polynomials
  10. Section 2 - Applications of Polynomials
  11. Chapter 6 - Investigation and Synthesis of Robust Polynomials in Uncertainty on the Basis of the Root Locus Theory
  12. Chapter 7 - Pricing Basket Options by Polynomial Approximations
  13. Chapter 8 - The Orthogonal Expansion in Time-Domain Method for Solving Maxwell Equations Using Paralleling-in-Order Scheme