Mathematical Analysis - 7/Edition

Book Details

• Title: Mathematical Analysis (Multi-Colour Edition)

• Authors: S.C. Malik & Savita Arora

• Publisher: New Age International Pvt Ltd

• Edition: 7th Edition (2024)

• ISBN: 9789360740900

• Pages: 888

• Binding: Paperback

• Dimensions: 9.6 x 6.8 x 1.5 inches

• Language: English

About the Book
Mathematical Analysis (Multi-Colour Edition) by S.C. Malik and Savita Arora is a comprehensive textbook designed for undergraduate and postgraduate students of mathematics. The seventh edition, published in 2024, offers a rigorous and modern approach to mathematical analysis, making it suitable for various competitive exams such as IIT JAM Mathematics (MA), CUET PG Mathematics, NBHM, and MSc programs.

The book begins with foundational topics, including the properties of rational numbers and the establishment of real numbers using Dedekind cuts. It then progresses through essential areas of mathematical analysis:

• Real Numbers and Set Theory: Understanding the properties of real numbers and the structure of sets.

• Sequences and Series: In-depth exploration of real sequences and infinite series.

• Continuity and Differentiation: Detailed study of continuous functions and differentiation techniques.

• Functions of Several Variables: Examination of multivariable functions and their properties.

• Integration: Comprehensive coverage of Riemann and Riemann-Stieltjes integrals, improper integrals, and the Lebesgue integral.

• Advanced Topics: Topics such as uniform convergence, power series, Fourier series, and integration in higher dimensions (surface, double, and triple integrals).

• Metric Spaces: Introduction to the concept of metric spaces and their significance in analysis.

The textbook also includes three appendices covering Beta-Gamma functions, Cantor's theory of real numbers, and important mathematical symbols. These additions enhance the reader's understanding and provide valuable references for further study.

With its clear explanations, numerous solved examples, and well-organized structure, this book serves as an essential resource for students aiming to build a strong foundation in mathematical analysis.