This is the mathematical reference book for the first and the second year graduate students who want to learn more about the application of certain techniques, to do calculations which happen to have interesting results in mathematical analysis.It is well known that we often need to establish some new sequences to converge to some fundamental constants with increasingly higher rate.Mathematical constants play a key role in several branches of mathematics.In this theory, an important concern is the definition of new sequences convergent to the mathematical constants with quicker rate of...

Derivative is a very powerful and useful tool for solving practical problems and developing basic theories in natural sciences such as mathematics, physics, etc., because of its geometric and physical meaning.Differentiation, which occupies an important place in the consideration of analytical properties of functions that describe relationships between variables, allows us to consider the concrete properties of functions.There are many books that describe about the Analysis of Mathematics, but their content is so vast that they have not been described in detail and in depth.This book begins...