Reference Books for Anna University M.Phil (Mathematics) Entrance Exam
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
 AlgebraVolume 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. Ebooks and study materials collected from web also helps candidates in their studies.

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