| ID | 043558 |
| Call Number | 515.8/BAR |
| Title Proper | Introduction to Real Analysis |
| Other Title Information | An Indian Adaptation |
| Language | ENG |
| Author | Bartle, Robert G ; Sherbert, Donald R ; Jindal, Varun ; Jindal, Anubha |
| Edition Statement | 4th e |
| Publication | New Delhi, Wiley, 2021. |
| Description | xv ;361pp |
| Summary / Abstract (Note) | Introduction to real analysis is a comprehensive textbook, suitable for undergraduate level students of pure and applied Mathematics. Starting with the background of the notations for sets and functions and mathematical Induction, the book focuses on real numbers and their properties, real sequences along with associated limit concepts, and infinite series. The book then explores the concepts of fundamental properties of limits and continuous functions, basic theory of Derivatives and applications, including mean value theorem, chain rule, and inversion theorem. |
| Contents | Preliminaries
The Real Numbers
Real Sequences
Infinite Series
Limits
Continuous Functions
Differentiation
The Riemann Integral
Sequences and Series of Functions
The Generalized Riemann Integral
A Glimpse Into Topology
Functions of Several Real Variables
Logic and Proofs
The Riemann and Lebesgue Criteria
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| Standard Number | 9789354244612 |
| Price. Qualification | 659/-(PB) |
| Classification Number | 515.8 |
| Key Words | Derivative ; Riemann Integral ; Compact Sets ; Metric Spaces ; Limit Theorem |