Differential Equations & Geometry
Advanced Ordinary Differential Equations
by Dr. H.K. Pathak
₹500
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
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
Related tags
Ordinary Differential EquationsSturm-Liouville TheoryStabilityBoundary Value ProblemsCSIR NET
