Reference Books for JMI Ph.D (Mathematics) Entrance Exam
Admission to Ph.D course in Jamia Millia Islamia is often carried out on the basis of entrance examinations. Linear Algebra, Topology, Ordinary Differential Equations, Functional Analysis, etc are some of the topics covered under the entrance test. Students can refer books such as Linear Algebra by Henry Helson, Topology by J. Dugundji, Functional Analysis by G. Bachman & L.Narici, Partial Differential Equations by R.C.McOwen, and Complex Analysis by Lars V. Ahlfors, for study.
Books for Linear Algebra
 Algebra by M. Artin
 Foundations of linear algebra by J.S. Golan
 Linear Algebra by A.G. Hamilton
 Linear Algebra by Henry Helson
 Linear Algebra by K. Hoffman and Ray Kunje
 Topics in Algebra by I.N. Herstein
 University algebra by N.S. Gopalkrishanan
Books for Real Analysis
 Introduction to Topology and Modern Analysis by G. F. Simmons
 Mathematical Analysis by T. M. Apostol
 Principles of Mathematical Analysis by W. Rudin
 Real Analysis by N. L. Carothers
 Topology of Metric Spaces by S. Kumaresan
Books for Mechanics
 Mathematical Methods of Classical Mechanics by V.I. Arnol’d
 Quantum Mechanics for Mathematicians by Leon Armenovich
 Mathematical Foundations of Quantum Mechanics by John Von Neumann
Books for Topology
 General Topology by J. L. Kelley
 General Topology by S. Willard
 Introduction to General Topology by K. D. Joshi
 Topology by J. Dugundji
Books for Differential Geometry
 A course in Differential Geometry by Wilhelm Klingenberg
 An Introduction to Differential Geometry by T.J.Willmore
 Elementary topics in Differential Geometry by J.A. Thorpe
 Foundations of Differential Geometry by Kobayashi S. and Nomizu K
 Lectures on Classical Differential Geometry by Struik, D.T
Books for Ordinary Differential Equations
 Ordinary differential equations by E. A. Coddington
 Text book of ordinary Differential Equations by S. G. Deo, V. Lakshmikantham, V Raghvendra
 Ordinary differential equations by G. Birkhoff and G.C. Rota
Books for Partial Differential Equations
 Advanced Differential Equations by M.D.Raisinghania
 Elements of Partial Differential Equations by I.N.Sneddon
 Introduction to Partial Differential Equations and Boundary Value Problems by R. Dennemeyer
 Introduction to Partial Differential Equations by S, Sankar Rao
 Partial Differential Equations by R.C.McOwen
Books for Abstract Algebra
 Basic Abstract Algebra by B.Bhattacharya, S.K.Jain, and S.R.Nagpaul
 Fundamental of Abstract Algebra by D.S.Malik, J.N. Mordeson and M.K.Sen
Books for Functional Analysis
 Functional Analysis by W. Rudin
 Functional Analysis by G. Bachman & L.Narici
 First course in Functional Analysis by H.C. Goffman and G.Fedrick
 Introductory Functional Analysis with Applications by E. Kreyszig
Books for Complex Analysis
 Analytic function Theory by E. Hille
 Complex Analysis by Lars V. Ahlfors
 Complex function Theory by M.Heins
 Functions of one complex variables by J.B. Conway
 Introduction to complex Analysis by H.A. Presfly
Reference books can be collected online or from book stores. Other than text books, candidates can refer ebooks and web based materials for study.

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