Volume and integral
 |
|
Описание:
This introduction to the theory of the Lebesgue Integral is primarily intended for third-year Honours students. A consistently geometrical approach has been chosen in order to show the simple underlying ideas. First, the volume of an n-dimensional set is defined as it s Lebesgue Measure. The integral of a non-negative function of n real variables is then the volume of its ordinate set; the extension to general functions follows easily. The old notion of the Riemann Integral is similarly developed; its relation to the Lebesgue Integral and the striking advantages of the latter are clearly set out.Похожие книги
 | Einführung in die Analysis 2 Автор: Rolf Walter Год: 2007 |
 | Bochner Integral Год: 2011 |
| A primer on Lebesgue integration Автор: H. S. Bear Год: 2001 |
 | Integral Life Practice: A 21st-Century Blueprint for Physical Health, Emotional Balance, Mental Clarity, and Spiritual Awakening Автор: Ken Wilber, Terry Patten, Adam Leonard, Marco Morelli Год: 2008 |
| Integral equations: from spectral theory to applications Автор: David Porter Год: 1991 |
| The Integral Calculus Автор: Smithee A. Год: 2006 |