A Course in Real Analysis [Paperback]

This book will serve the student community as a textbook for basic real analysis. Beginning with Dedekind’s construction of real numbers, it includes those properties of the real numbers which makes it so special, different kind of subsets of the set of real number along with different kind of points on the real field. A detailed study of sequence and series is undertaken. This book ends with an introduction to single variable differential calculus discussing Mean Value theorems, expansion of functions, L’ Hospital Rule and extreme values of a function. An attractive feature of the book is the presentation of the subject matter in easy and simple way. Also, sufficient number of solved and practicing problems have been included.

The book is intended mainly for use as a textbook/reference book at senior undergraduate level or junior post graduate level and as a use full reference book for researchers in industries. The book is written in simple Indian English so that there should be no difficulty for any body to understand the concept presented here wherever necessary.

CHAPTER       1:  REAL NUMBERS

CHAPTER       2: SUBSETS OF REAL NUMBERS

CHAPTER       3:  SEQUENCE OF REAL NUMBER

CHAPTER       4:  INFINITE SERIES

CHATPER       5:  CONTINUOUS FUNCTION

CHATPER       6:  DERIVATIVE

CHATPER       7:  MEAN VALUE THEOREM

CHAPTER       8:  INDETERMINATE FORMS

CHATPER       9: MAXIMA AND MINIMA

Prof. Sayad Ali Ahmed is a successful teacher of mathematics with sufficient knowledge and skill and has been serving as Associate Professor in a leading college, Bhola Nath College, Dhubri (Assam) for about 22 years. His area of interest are in Group theory, Graph theory, Number theory. His previous book is ‘ An Elementary Course in Number’.