Ram Krishna Ghosh & Kantish Chandra Maity 
Differential Calculus: An Introduction to Analysis (Part II) [PDF ebook] 
An Introduction to Analysis

In the first two chapters, the basic concepts of elementary analysis have been thoroughly discussed. Advanced students may straightway enter into the third chapter where the notions of Eucleidean spaces and Metric spaces have been introduced. Stress has been given on wide applications of the subject with sufficient number of examples without sacrificing the rigour at any stage. A short chapter on double sequences and series has been included in the last chapter of this book.