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 e-books and web based materials for study.