Introduction to Real Analysis, 4ed, An Indian Adaptation

Book Details

• Author: Robert G. Bartle

• Brand: Wiley

• Binding: Paperback

• Number of Pages: 380

• Release Date: 01-05-2021

• EAN: 9789354244612

• Dimensions: 10.0 x 7.9 x 0.9 inches

About The Book

"Introduction to Real Analysis" by Robert G. Bartle is a comprehensive textbook designed for undergraduate students studying pure and applied mathematics. The book offers a solid foundation in real analysis, starting with fundamental topics and gradually advancing to more complex concepts.

Key features include:

• Foundational Concepts: Introduces basic mathematical notations for sets and functions, along with the concept of mathematical induction.

• Real Numbers and Their Properties: Focuses on the properties of real numbers and explores the concepts of sequences and their limits.

• Infinite Series: Discusses the important aspects of infinite series and their convergence.

• Continuity and Differentiation: Provides an in-depth look at limits, continuous functions, and the basic theory of derivatives, including applications such as the mean value theorem, chain rule, and inversion theorem.

The book is well-suited for undergraduate students, offering clear explanations and examples that build a strong foundation in real analysis, making it an essential resource for anyone delving into higher-level mathematics.

Table of Contents

• Chapter 1: Mathematical Notation and Functions

• Chapter 2: Real Numbers and Their Properties

• Chapter 3: Sequences and Limits

• Chapter 4: Infinite Series

• Chapter 5: Limits and Continuous Functions

• Chapter 6: The Derivative and Its Applications

• Chapter 7: The Mean Value Theorem and Chain Rule

• Chapter 8: Inverse Functions

• Chapter 9: Exercises and Solutions

• Index