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Advanced Ordinary Differential Equations — Dr. H.K. Pathak
A rigorous treatment of Advanced ODE theory for M.A. and M.Sc. Mathematics, with complete coverage of 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 — 3,400+ academic citations.
EXAMINATION COVERAGE:
UGC CSIR NET Mathematical Sciences | UGC NET Mathematics | GATE Mathematics (MA) | IAS/UPSC Mathematics Optional Paper 1 | State PCS Mathematics | IFS Mathematics
TOPICS COVERED:
Existence and 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
UNIVERSITIES WHERE USED:
RDVV Jabalpur | Vikram University Ujjain | DAVV Indore | Barkatullah University Bhopal | APSU Rewa | PRSU Raipur | Hemchand Yadav University Durg | and universities across India
Written by an Indian author — 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.
Published by Shree Shiksha Sahitya Prakashan, Meerut.
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