CORE VIII - PARTIAL DIFFERENTIAL EQUATIONS

TEXTBOOK

1. J.N. Sharma and K.Singh, Partial Differential Equation for Engineers and Scientists, Narosa publ. House, Chennai, 2001.

BOOKS FOR REFERENCE

1. I.N.Snedden, Elements of Partial Differential Equations, McGraw Hill, New York 1964.

2. K.Sankar Rao, Introduction to partial Differential Equations, Prentice Hall of India, New Delhi, 1995.

3. S.J. Farlow, Partial Differential Equations for Scientists and Engineers, John Wiley sons, New York, 1982 

 

CORE IX - TOPOLOGY

TEXTBOOK :

1. James R.Munkres – Topology, 2nd edition, Prentice Hall of India Ltd., New Delhi, 2005.

BOOKS FOR REFERENCE :

1. J. Dugundji, Topology, Prentice Hall of India, New Delhi,1975.

2. G.F.Simmons, Introduction to Topology and Modern Analysis, McGraw Hill Book Co, New York, 1963.

3. S.T. Hu, Elements of General Topology, Holden Day, Inc. New York, 1965.

 

CORE X - MEASURE THEORY AND INTEGRATION

TEXTBOOK:

1. H.L.Royden, Real Analysis, Mc Millian Publ. Co, New York, 1993.

BOOKS FOR REFERENCE:

1. G. de Barra, Measure Theory and integration, Wiley Eastern Ltd, 1981.

2. P.K. Jain and V.P. Gupta, Lebesgue Measure and Integration, New Age Int. (P) Ltd., New Delhi, 2000.

3. Walter Rudin, Real and Complex Analysis, Tata McGraw Hill Publ. Co. Ltd., New Delhi, 1966.

CORE XI - CALCULUS OF VARIATIONS AND INTEGRAL EQUATIONS 

TEXTBOOKS :

1. A.S Gupta, Calculus of Variations with Application, Prentice Hall of India, New Delhi, 2005.(For Units I and II)

2. Sudir K.Pundir and Rimple Pundir, Integral Equations and Boundary Value Problems, Pragati Prakasam, Meerut, 2005. (For Units III, IV and V)

BOOKS FOR REFERENCE :

1. F.B. Hildebrand, Methods of Applied Mathematics, Prentice – Hall of India Pvt. New Delhi, 1968.

2. R. P. Kanwal, Linear Integral Equations, Theory and Techniques, Academic Press, New York, 1971.

3. L. Elsgolts, Differential Equations and Calculus of Variations, Mir Publishers, Moscow, 1973. 

 

ELECTIVE III - PAPER I - DIFFERENTIAL GEOMETRY

TEXT BOOK:

1. D.Somasundaram,Differential Geometry, Narosa Publ. House, Chennai, 2005.

BOOKS FOR REFERENCE:

1. T. Willmore, An Introduction to Differential Geometry, Clarendan Press, Oxford, 1959.

2. D.T Struik, Lectures on Classical Differential Geometry, Addison – Wesely, Mass. 1950.

3. J.A. Thorpe, Elementary Topics in Differential Geometry, Springer – Verlag, New York, 1979.

 

ELECTIVE III - PAPER II - PROGRAMMING WITH C++

TEXT BOOK:

1 E.Balagrurusamy, Object-Oriented Programming with C++ ,2nd Edition, Tata McGraw Hill Pub. 1999.

BOOKS FOR REFERENCE:

1. Robert Lafore – “The Waite Group’s Object Oriented Programming In Turbo C++ - Galgotia Publication Pvt. Ltd. 1998.

2. Allan Neibaver – Office 2000. 

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