@Nitish,
I'm not familiar with this book. What makes it the best introduction to western philosophy? Making topics too complicated is ill advised for such introductory texts, but oversimplification is equally dangerous.
As for Eastern philosophy, I have a few recommendations. The first is Robert Thurman's "Inner Revolution", a sort of historical survey, philosophical treatise, and inspirational work. The book is a marvelous introduction to Buddhism and Buddhist thought - Thurman's work will give you some perspective on a diverse, ancient, and often confusing tradition.
The second is "Monkey". "Monkey" is a children's book that presents many Buddhist, and generally eastern themes, in wonderful allegory. Wu Cheng'en's text is a world classic, and a great read.
I would also suggest reading a few different translations of the Tao Te Ching. For commentary and scholarly resources, the following web site is invaluable:
Chad Hansen's Chinese Philosophy Page (Daoist Interpretations)
For western readers, especially my fellow Americans, Thoreau's "Walden" is a beautiful text that will introduce the reader to eastern thought in the context of western society. A must read. For anyone, regardless of interests.