Principles of Mathematical Analysis

Principles of Mathematical Analysis is a comprehensive guide, with eleven chapters which cover concepts relating to mathematical analysis. The book starts with an introduction on concepts such as normal, real and complex fields, sets which are ordered, an extended system of real numbers and Euclidean spaces. There also exercises given towards the end of the chapters and appendices which serve as a reference source.

The next chapters broadly cover concepts pertaining to the properties of space i.e. topology and series and sequences of numbers. Within these chapters aspects like connected perfect, finite, countable and uncountable sets and metric spaces are explained. Also, a number of sequences like convergent, cauchy and special sequences, normal and power series and subsequences, along with exercises for practice are given in this book.

The other chapters contain subject matters of functions and its series, differentiation, continuity, variables and their functions, theory of Lebesgue and Riemann-Stieltjes Integral and certain special kind of functions. The third edition of Principles of Mathematical Analysis was published by Tata McGraw- Hill Education in 2013. It is available in paperback.