Topics on Real Analysis, Complex Analysis, Topology, Functional Analysis, Mechanics, Differential Equations, Algebra, Graph Theory, Random Variables, Numerical Analysis, and Probability are asked for M.Phil (Mathematics) entrance exam in Anna University. Books such as Topology of Metric Spaces by S. Kumaresan, Complex Analysis by Lar’s V. Ahlfors, Classical Mechanics by Rana & Joag, Ordinary differential equations by E. A. Coddington, and Algebra by M. Artin can be referred for studies.

Reference Books for Anna University M.Phil (Mathematics) Entrance Exam

Books for Real Analysis

• 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

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

Books for Topology and Functional Analysis

• Topology by J.R. Munkres
• 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 Mechanics and Differential Equations

• Classical Mechanics by Goldstein, Poole and Safko
• Classical Mechanics by Rana & Joag
• Differential equations with applications and Historical Notes by G.F. Simmons
• Ordinary differential equations by G. Birkhoff and G.C. Rota
• Ordinary differential equations by E. A. Coddington
• Text book of Ordinary Differential Equations by S. G. Deo, V. Lakshmikantham, V. Raghvendra

Books for Algebra and Graph Theory

• Basic Abstract Algebra by P. B. Bhattacharya, S. K. Jain and S. R. Nagpaul
• Abstract Algebra by Joseph A. Gallian
• Algebra-Volume 1 by I. S. Luthar and I. B. S. Passi
• Algebra by M. Artin
• Introduction to Graph Theory by Douglas B. West
• A First Look at Graph Theory by John Clarke and D.A. Holton
• Graph Theory by Harary

Probability and Random Variables

• The Elements of Probability Theory by Cramer H
• Introduction to Probability by Charles M. Grinstead and J. Laurie
• Introduction to Probability Theory and its Applications by Feller
• Introduction to Probability Models by Ross, S. M
• Modern Probability Theory and its Applications by Parzen E

Books for Numerical Analysis

• An Introduction to Numerical Analysis by K.E. Atkinson
• Numerical Methods and Analysis by J. I. Buchaman and P. R. Turner
• Introduction Methods of Numerical Analysis by S. S. Sastry

Books prescribed under the syllabus for M.Sc (Mathematics) in Anna University can be referred for studies. E-books and study materials collected from web also helps candidates in their studies.