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Analysis & Topology

Real Analysis

by Dr. H.K. Pathak

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University: Indian Universities For: M.A. & M.Sc. Mathematics Edition: 4th Edition Binding: Paperback Language: English

Useful for

CSIR NETUGC NETGATE MathematicsIAS Mathematics OptionalState PCSIFS

University reach: A core paper at all 26 M.Sc mathematics departments we mapped across 14 states — including DAVV Indore, APSU Rewa, BHU Varanasi, University of Lucknow, CSJMU Kanpur, DBRAU Agra, PRSU Raipur, GGV Bilaspur and 18 more.

See all universities by state
Madhya Pradesh: DAVV Indore, APSU Rewa
Uttar Pradesh: BHU Varanasi, University of Lucknow, CSJMU Kanpur, DBRAU Agra
Chhattisgarh: PRSU Raipur, GGV Bilaspur
West Bengal: University of Calcutta, University of Burdwan, Presidency University
Jharkhand: Ranchi University, SKMU Dumka, BBMKU Dhanbad
Karnataka: University of Mysore
Maharashtra: SPPU Pune
Kerala: University of Kerala, CUSAT Kochi
Odisha: Utkal University
Tamil Nadu: Bharathidasan University, Bharathiar University
Delhi: University of Delhi
Haryana: MDU Rohtak
Uttarakhand: HNB Garhwal, Kumaun University
Assam: Dibrugarh University
Preparing for CSIR-NET Mathematics?
This book covers Unit 1: Analysis & Linear Algebra. See the full CSIR-NET syllabus map →

About this book

Real Analysis by Dr. H.K. Pathak is the standard 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, with 3,400+ academic citations.

Written by an Indian mathematician for Indian students — far more accessible than Rudin or Apostol, building every concept step by step. Contains thousands of solved examples, MCQs and previous-year questions in CSIR NET and GATE formats. University papers at RDVV Jabalpur, Vikram Ujjain and PRSU Raipur frequently draw questions directly from this book.

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

Related tags

Real AnalysisMetric SpacesRiemann IntegrationCSIR NETGATE Mathematics