|
|
libcats.org
A garden of integralsFrank E. BurkThe derivative and the integral are the fundamental notions of calculus. Though there is essentially only one derivative, there is a variety of integrals, developed over the years for a variety of purposes, and this book describes them. No other single source treats all of the integrals of Cauchy, Riemann, Riemann-Stieltjes, Lebesgue, Lebesgue-Steiltjes, Henstock-Kurzweil, Weiner, and Feynman. The basic properties of each are proved, their similarities and differences are pointed out, and the reason for their existence and their uses are given. There is plentiful historical information. The audience for the book is advanced undergraduate mathematics majors, graduate students, and faculty members. Even experienced faculty members are unlikely to be aware of all of the integrals in the Garden of Integrals and the book provides an opportunity to see them and appreciate their richness. Professor Burks clear and well-motivated exposition makes this book a joy to read. The book can serve as a reference, as a supplement to courses that include the theory of integration, and a source of exercises in analysis. There is no other book like it.
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
Elementary surveying. An introduction to geomaticsАвтор: Ghilani C.D., Автор: Wolf P.R.Категория: P_Physics, PGp_Geophysics
Размер книги: 43.64 Mb
Только что пользователи скачали эти книги:
Эксплуатация резервуаров склада горюче-смазочных материалов.Автор: Ипатов А.М.
Размер книги: 9.90 Mb
Bruus H., Flensberg K. Many-body quantum theory in condensed matter physics (web draft, Kopenhagen, 2002)(352s)_PSqft_.pdfАвтор:
Размер книги: 2.95 Mb
Confronting Crisis: A Comparative Study of Household Responses to Poverty and Vulnerability in Four Poor Urban Communities (Environmentally Sustainable Development Studies and Monographs Series)Автор: Caroline O. N. Moser
Размер книги: 461 Kb
|
|
|