Description
This is a textbook designed to meet the requirements of undergraduate students in Mathematics. It can be comfortably covered in one semester. The content has been tested in the classroom by several professors over the past
₹175
Authors: Arumugam S, Thangapandi Isaac A, Somasundaram A
ISBN: 9789388005128
Copy Right Year: 2019
Pages: 252
Binding: Soft Cover
Publisher: Yes Dee Publishing
This is a textbook designed to meet the requirements of undergraduate students in Mathematics. It can be comfortably covered in one semester. The content has been tested in the classroom by several professors over the past
Weight | .25 kg |
---|---|
Dimensions | 22 × 14 × 2 cm |
Chapter 1 PRELIMINARIES
1.1 Introduction
1.2 Sets and Functions
1.3 Intervals in R
1.4 Bounded Sets
1.5 Bounded Functions
Chapter 2 INEQUALITIES
2.1 Introduction
2.2 Inequalities
2.3 Triangle Inequalities
2.4 The Arithmetic, Geometric and Harmonic Means
2.5 Cauchy-Schwarz Inequality
2.6 Some More Inequalities
2.7 Miscellaneous Solved Problems
Chapter 3 SEQUENCES
3.1 Introduction
3.2 Sequences
3.3 Bounded Sequences
3.4 Monotonic Sequences
3.5 Convergent Sequences
3.6 Divergent and Oscillating Sequences
3.7 The Algebra of Limits
3.8 Behaviour of Monotonic Sequences
3.9 Some Theorems on Limits
3.10 Sub sequences
3.11 Limit Points
3.12 Cauchy Sequences
3.13 The Upper and Lower Limits of a Sequence
Chapter 4 SERIES OF POSITIVE TERMS
4.1 In_nite Series
4.2 Comparison Test
4.3 Kummer’s Test
4.4 Root Test and Condensation Test
4.5 Integral Test
Chapter 5 SERIES OF ARBITRARY TERMS
5.1 Alternating Series
5.2 Absolute convergence
5.3 Tests for Convergence of Series of Arbitrary Terms
5.4 Rearrangement (Derangement) of series
5.5 Multiplication of Series
Chapter 6 SEQUENCES AND SERIES OF FUNCTIONS
6.1 Introduction
6.2 Pointwise Convergence
6.3 Uniform Convergence
6.4 Test for Uniform Convergence
6.5 Power Series
• OBJECTIVE TYPE QUESTIONS
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