ISBN: 9789387025516
Edition: 1st
Author : Mukesh Kumar, A. P. Singh, Ashok Kumar
Year: 2024
Pages: 172
Publisher Name: Medtech
The book is divided into five chapters. Chapter 1 covers Real Number System which includes basic properties of real number system as well as binary expansion, ternary expansion and cantor ternary. Chapter 2 deals the introduction and properties of Open and Closed Sets, Limit Points, finite and infinite sets and countable sets. While chapter 3 concern the sequences, basic properties and some important definition and theorems. Chapter 4 covers the basic terminology of sequence and series, Cauchy's fundamental test for series, Alternating series, geometric series, p-series test, ratio test etc. While in chapter 5 we have to study the concept of convergence of series of functions, test for absolute convergent, power series, uniform convergence and properties of uniformly convergent series, Weierstras's M-Test and Binomial, Exponential and Logarithmic Series. At the end of every chapter Multiple Choice Questions are discussed.
Integration of Rational Irrational Fractions • Definite Integral • Reduction Formula • Beta and Gamma Functions • Multiple Integrals • Improper Integrals • Rectification, Volume and Surface of Solid Revolutions • Differentiation Under Integrals Sign.
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