A Textbook Of B.Sc. Mathematics (Real Analysis) (For 2nd Year, 1st Semester Of Telangana Universities) by Rao, Venkateswara V., Murthy, Krishna N., Sarma B. V. S. S., Sastry Anjaneya S. & Ranganatham S.
Book Summary:
This Text book of B.Sc Mathematics for the students studying First year in all universities of Telangana State was first published in the year 1988 and has undergone several editions and many reprints. The authors are very happy that the earlier editions have been very well used by the students.
Audience of the Book :
This book is Useful for Mathematics Students.
Table of Contents:
UNIT - I
1. Sequences - Limits of sequences - A discussion about Proofs - Limit Theorems for
2.Sequences - Monotone Sequences and Cauchy Sequences
UNIT - II: Higher order linear differential equations
Subsequences - Lim sup's and Lim inf's Series - Alternating Series and Integrals Tests. Continuity : Continuous functions - Properties of Continuous functions.
UNIT - III :
Sequences and Series of Functions : Power Series - Uniform Convergence - More on uniform convergence - Differentiation and Integration of Power series (Theorems in this section without proofs)
UNIT - IV
Integration : The Riemann Integral - Properties of Riemann Integral - Fundamental Theorem of Calculus.