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Real Analysis — Dr. H.K. Pathak | 4th Edition
The standard Real Analysis textbook for M.A. and M.Sc. Mathematics students across Madhya Pradesh, Chhattisgarh, and all Indian universities. Authored by Dr. H.K. Pathak, Ex-Professor and Former Head, School of Studies in Mathematics, Pt. Ravishankar Shukla University (PRSU), Raipur — 3,400+ academic citations.
EXAMINATION COVERAGE: UGC CSIR NET Mathematical Sciences | UGC NET Mathematics | GATE Mathematics (MA) | IAS/UPSC Mathematics Optional | State PCS Mathematics | IFS Mathematics
TOPICS COVERED: Real Number System | Sequences and Series | Limits and Continuity | Differentiability | Mean Value Theorems | Taylor's Theorem | Riemann-Stieltjes Integration | Uniform Convergence | Functions of Several Variables | Metric Spaces
UNIVERSITIES WHERE USED: RDVV Jabalpur | Vikram University Ujjain | DAVV Indore | Barkatullah University Bhopal | APSU Rewa | Jiwaji University Gwalior | Dr. Harisingh Gour University Sagar | PRSU Raipur | Hemchand Yadav University Durg | Guru Ghasidas Vishwavidyalaya Bilaspur | and universities across India
Written by an Indian mathematician for Indian university students — far more accessible than Rudin or Apostol. Builds concepts step by step, suitable for students from Hindi-medium backgrounds. Contains thousands of solved examples, MCQs, and previous year questions in CSIR NET and GATE formats. University papers at RDVV, Vikram, and PRSU frequently draw questions directly from the examples in this book.
Published by Shree Shiksha Sahitya Prakashan, Meerut.
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