libcats.org
Главная

A radical approach to real analysis

Обложка книги A radical approach to real analysis

A radical approach to real analysis

This book is an undergraduate introduction to real analysis. Teachers can use it as a textbook for an innovative course, or as a resource for a traditional course. Students who have been through a traditional course, but do not understand what real analysis is about and why it was created, will find answers to many of their questions in this book. Although this is not a history of analysis, the author returns to the roots of the subject to make it more comprehensible. The book begins with Fourier's introduction of trigonometric series and the problems they created for the mathematicians of the early nineteenth century. Cauchy's attempts to establish a firm foundation for calculus follow, and the author considers his failures and his successes. The book culminates with Dirichlet's proof of the validity of the Fourier series expansion and explores some of the counterintuitive results Riemann and Weierstrass were led to as a result of Dirichlet's proof. Mathematica ® commands and programs are included in the exercises. However, the reader may use any mathematical tool that has graphing capabilities, including the graphing calculator.
Популярные книги за неделю:

О физической природе шаровой молнии

Автор:
Категория: science, science, exact
Размер книги: 5.03 Mb

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
Только что пользователи скачали эти книги:

Путь Богини Мудрой

Автор:
Категория: Фэнтези
Размер книги: 312 Kb

Театральная Энциклопедия

Автор:
Категория: Словари
Размер книги: 17.14 Mb

Bracken, Michael - Fresh Kill

Автор:
Размер книги: 17 Kb

Braid group, knot theory and statistical mechanics

Автор: , Автор:
Размер книги: 2.16 Mb

Godfrey Morgan Californian Mystery

Автор:
Категория: fiction
Размер книги: 370 Kb

Mis multiples personalidades

Автор:
Категория: espanol
Размер книги: 2.00 Mb