Advanced Ordinary Differential Equations
by Dr. H.K. Pathak
₹500
Useful for
University reach: A core paper at 22 of the 26 M.Sc mathematics departments we mapped across 14 states — including DAVV Indore, University of Lucknow, DBRAU Agra, GGV Bilaspur, University of Calcutta, University of Burdwan, Presidency University, Ranchi University and 14 more. An elective at 1 more.
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About this book
Advanced Ordinary Differential Equations by Dr. H.K. Pathak gives a rigorous treatment of advanced ODE theory for M.A. and M.Sc. Mathematics, with complete coverage of the CSIR NET, GATE and IAS examination syllabuses. 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 Coddington & Levinson or Hartman for Indian university students. Assumes only B.Sc.-level ODE knowledge and builds systematically. Contains solved examples, MCQs and problems in CSIR NET and IAS formats.
Topics covered
- Existence & Uniqueness Theorems (Picard, Peano)
- Linear ODE Systems
- Power Series and Frobenius Methods
- Bessel and Legendre Equations
- Sturm-Liouville Theory
- Boundary Value Problems
- Green’s Functions
- Phase Plane Analysis
- Stability Theory
- Lyapunov Direct Method
