This is the mathematical reference book for the students, the graduates and researchers who are interested in the mathematical constants as Euler constants ?, Glaisher-Kinkelin's constant, and Bendersky-Adamchik's constants arising in the mathematical analysis.The book contains various problems concerning important items of mathematical analysis: series and integrals.Our new constants plays important role for calculating singular integrals and the sum of multi series which has the multi power in general term.This book can be widely used by students in mathematics and physics, and everyone who is interested in mathematical analysis.It is certain that this will be contributed to the students, the graduates and researchers who are going to mathematically analyze the physical situations arise in advanced science and technology .