First Course In Real Analysis By Subir Kumar Mukherjee (3rd Edition) – Academic Publishers | Specialized for University & Competitive Exams

Dive into the world of mathematical rigor with the 3rd Edition of First Course In Real Analysis by the esteemed Subir Kumar Mukherjee. Published by Academic Publishers, this book is designed to simplify the abstract nature of real analysis while maintaining the depth required for higher education. 📚

This edition has been updated to align with the latest university syllabi across India, making it a staple for any mathematics student’s library. It focuses on building a strong conceptual foundation through logical proofs and diverse problem sets. ✨

What’s Inside This Edition:

• 🔢 Real Number System: In-depth exploration of the algebraic and order properties of $\mathbb{R}$.

• 📈 Sequences and Series: Comprehensive coverage of convergence, divergence, and various testing methods.

• 📍 Continuity & Differentiability: Clear explanations of limits, uniform continuity, and Mean Value Theorems.

• ✍️ Solved Examples: Hundreds of worked-out problems that demonstrate how to apply theoretical concepts to exam questions.

• 🎓 Exam Focused: Ideal for B.Sc. (Hons), M.Sc., and aspirants of IIT-JAM, CSIR-NET, and GATE.

Keywords:

• Real Analysis 3rd Edition

• Subir Kumar Mukherjee

• Academic Publishers Math Books

• First Course in Real Analysis

• B.Sc Mathematics Textbooks

• IIT JAM Real Analysis

• CSIR NET Mathematics

• Mathematical Analysis Guide

  
  

  ❓ Frequently Asked Questions (FAQ):

  Q1: Is this the latest edition of the book?

  🆕 A: Yes! This is the 3rd Edition, which includes updated content and improved problem sets as per the current university standards.

  Q2: Is this book suitable for B.Sc. Mathematics Honors?

  🎓 A: Absolutely. It is a highly recommended textbook for B.Sc. (Hons) students across major Indian universities for their Real Analysis papers.

  Q3: Does it cover convergence and series in detail?

  📈 A: Yes, the book provides a very thorough explanation of Sequences and Series, including various tests for convergence and divergence.

  Q4: How helpful is it for competitive exams like CSIR-NET or GATE?

  🏆 A: It is excellent for building a strong foundation. Many students use this book to clear their basics before moving on to advanced problem-solving for IIT-JAM and NET.

  Q5: Are there enough practice problems?

  ✍️ A: Definitely. Each chapter is packed with solved examples followed by exercise sets to ensure you are exam-ready.