libcats.org
Главная

Polynomials and Polynomial Inequalities (Graduate Texts in Mathematics)

Обложка книги Polynomials and Polynomial Inequalities (Graduate Texts in Mathematics)

Polynomials and Polynomial Inequalities (Graduate Texts in Mathematics)

,
Polynomials pervade mathematics, virtually every branch of mathematics from algebraic number theory and algebraic geometry to applied analysis and computer science, has a corpus of theory arising from polynomials. The material explored in this book primarily concerns polynomials as they arise in analysis; it focuses on polynomials and rational functions of a single variable. The book is self-contained and assumes at most a senior-undergraduate familiarity with real and complex analysis. 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 conclude the book.
EPUB | FB2 | MOBI | TXT | RTF
* Конвертация файла может нарушить форматирование оригинала. По-возможности скачивайте файл в оригинальном формате.
Популярные книги за неделю:

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Здоровье надо созидать

Автор:
Категория: Здоровье
Размер книги: 363 Kb

The Meme Machine

Автор:
Категория: psychology, memetics, sociology
Размер книги: 1.72 Mb
Только что пользователи скачали эти книги:

Kerr, Katharine - Deverry 03 - Bristling Wood v1.1

Автор:
Размер книги: 764 Kb

The standard C library

Автор:
Размер книги: 5.55 Mb

Основы биохимии растений

Автор: , Автор:
Размер книги: 3.70 Mb

Stem Cells in Regenerative Medicine. Methods and Protocols

Автор: , Автор:
Категория: Biology
Размер книги: 8.35 Mb

Madam Charlie

Автор:
Категория: fiction
Размер книги: 1.05 Mb