CatalogueM.Sc MathematicsFunctional Analysis
Analysis & Topology

Functional Analysis

by Dr. H.K. Pathak

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University: Indian Universities For: M.A. & M.Sc. Mathematics Edition: Latest 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

Functional Analysis by Dr. H.K. Pathak is a leading textbook for M.A. and M.Sc. Mathematics students across Indian universities. Authored by Dr. H.K. Pathak — Ex-Professor and Former Head, School of Studies in Mathematics, PRSU Raipur, with 3,400+ academic citations.

Considerably more accessible than Kreyszig or Rudin for Indian university students, and built around the CSIR NET and GATE syllabus. Contains solved examples, MCQs and previous-year questions in CSIR NET and IAS formats — suitable for students transitioning to graduate-level mathematics.

Topics covered

  • Metric Spaces
  • Normed Linear Spaces
  • Banach Spaces
  • Inner Product Spaces
  • Hilbert Spaces
  • Linear Operators
  • Bounded Linear Functionals
  • Hahn-Banach Theorem
  • Open Mapping & Closed Graph Theorems
  • Spectral Theory

Related tags

Functional AnalysisBanach SpacesHilbert SpacesLinear OperatorsCSIR NET