Real Analysis and Topology, Linear Algebra, Complex Analysis, and Algebra are the main topics covered under the syllabus for Devi Ahilya Vishwavidyalaya entrance test conducted for admission to M.Phil/Ph.D (Mathematics). Reference books like Real Analysis by Bartle, R.G, Linear Algebra by K. Hoffman and Ray Kunje, Complex Analysis by Lars V. Ahlfors, and Modern Algebra by Seth Warner can be used for preparing for the exam.

Books for Real Analysis and Topology

• Real Analysis by N. L. Carothers
• Mathematical Analysis by T. M. Apostol
• Topology of Metric Spaces by S. Kumaresan
• Introduction to Topology and Modern Analysis by G. F. Simmons
• Principles of Mathematical Analysis by W. Rudin
• Real Analysis by Bartle, R.G
• Mathematical Analysis by Malik,S.C. and Savita Arora
• Introduction to Real Analysis by Sanjay Arora and Bansi Lal
• Principles of Real Analysis by A.L.Gupta and N.R.Gupta
• Real Analysis by Roydon,H.L
• W. Principles of Mathematical Analysis by Rudin
• Mathematical Analysis by Malik,S.C. and Savita Arora
• Introduction to Real Analysis by Sanjay Arora and Bansi Lal
• Topology by J. Dugundji
• Introduction to General Topology by K. D. Joshi
• General Topology by J. L. Kelley
• Counterexamples in Topology by L. A. Steen and J. A. Seebach Jr
• General Topology by S. Willard

Books for Linear Algebra

• Linear Algebra by Vivek Sahai, Vikas Bist
• Linear Algebra by K. Hoffman and Ray Kunje
• Algebra by M. Artin
• Linear Algebra by A.G. Hamilton
• University algebra by N.S. Gopalkrishanan
• Foundations of linear Algebra by J.S. Golan
• Linear Algebra by Henry Helson
• Topics in Algebra by I.N. Herstein

Books for Complex Analysis

• Functions of one complex variable by John B. Conway
• Complex Analysis by Lar’s V. Ahlfors
• Complex Variables and Applications by Ruel V. Churchill / James Ward Brown
• Complex Analysis by Lars V. Ahlfors
• Introduction to complex Analysis by H.A. Presfly
• Functions of one complex variables by J.B. Conway
• Analytic function Theory by E. Hille
• Complex function Theory by M.Heins
• Complex Analysis by Elias M. Stein, ‎Rami Shakarchi

Books for Algebra

• Algebra by M.Artin
• Basic Abstract Algebra by P.B.Bhattacharya, S.K.Jain, and S.R.Nagpaul
• Algebra by I.S.Luther and I.B.S.Passi
• Fundamental of Abstract Algebra by D.S.Malik, J.N. Mordeson and M.K.Sen
• Basic Algebra by N.Jacobson
• Algebra by Larry C. Grove
• Developing Thinking in Algebra by John Mason
• Modern Algebra by Seth Warner
• Introduction to Algebra by Peter Jephson Cameron
• Abstract Algebra by W. E. Deskins
• Algebra the Easy Way by Douglas Downing

Reference books for study can be collected from nearby book shops or via online. E-books can also be used for studies. Solving previous year question papers are helpful to get through the exam.