An Introductory to Reimann Integral (Paperback) (ISBN-13: 9781519584212)

In 1850, a beautiful turn in mathematical analysis is the work by Cauchy and after that soon the work of Bernhard Reimann. The idea of integration in starting one was completely divorced from the derivative and instead use the notion "area under the curve" as a starting point for constructing a rigorous definition of the integral.\\ The Reimann integral is today a very important notion in real analysis and also in introductory to calculus. This is used in this way that the function $\varphi$ on $[\alpha, \beta]$, we divide this interval into small subintervals. By using each subinterval $[u_{l-1}, u_{l}], $ we choose any value $a_{l}\in [u_{l-1}, u_{l}]$ and then we find the value of $\varphi(a_{l})$. Geometrical behavior of this is that a row of thin rectangles formed the area between $\varphi$ and the horizontal axis.

Author: Naveed Latif
ISBN-10: 1519584210
ISBN-13: 9781519584212
Publisher: Createspace Independent Publishing Platform
Language: English
Published: 11/28/2015
Pages: 26
Format: Paperback
Weight: 0.14lbs
Size: 9.00h x 6.00w x 0.07d