|
|
libcats.org
Polynomials and Polynomial Inequalities (Graduate Texts in Mathematics)Peter Borwein, Tamas ErdelyiPolynomials 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.
Скачать книгу бесплатно (pdf, 2.11 Mb)
Читать «Polynomials and Polynomial Inequalities (Graduate Texts in Mathematics)» EPUB | FB2 | MOBI | TXT | RTF
* Конвертация файла может нарушить форматирование оригинала. По-возможности скачивайте файл в оригинальном формате.
Популярные книги за неделю:
Система упражнений по развитию способностей человека (Практическое пособие)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 818 Kb
Сотворение мира (3-х томник)Автор: Петров Аркадий НаумовичКатегория: Путь к себе
Размер книги: 817 Kb
Только что пользователи скачали эти книги:
М.М.Кацнельсон. Приготовление синтетических химико-фармацевтических препаратов (1923, djvu)Автор:
Размер книги: 3.20 Mb
Acting in an Uncertain World: An Essay on Technical Democracy (Inside Technology)Автор: Michel Callon, Автор: Pierre Lascoumes, Автор: Yannick Barthe, Автор: Graham Burchell
Размер книги: 968 Kb
George R.R. Martin's Wild Card Universe: Death Draws FiveАвтор: John J. Miller
Размер книги: 338 Kb
First to the Front: The Aerial Adventures of 1st Lt. Waldo Heinrichs and the 95th Aero Squadron 1917-1918 (Schiffer Military History)Автор: Charles Woolley
Размер книги: 144.37 Mb
Coleridge's Imagination: Essays in Memory of Pete LaverАвтор: Richard Gravil (editor), Автор: Lucy Newlyn (editor), Автор: Nicholas Roe (editor)
Размер книги: 4.05 Mb
|
|
|