The syllabus of the course applicable for students admitted from 2013 onwards is available in the Kerala University website as a PDF file at this link:http://www.keralauniversity.ac.in/images/Downloads3/msc_maths_colleges_2013.pdf .

**Text Books**

**LINEAR ALGEBRA**

Text: Sheldon Axler, “Linear Algebra Done Right” 2 nd Edition, Springer. **Check price here.**

References

1. Kenneth Hoffman and Ray Kunze, “Linear Algebra”, Prentice Hall, 1981.. **Check price here.**

2. I.N Herstein, “Linear Algebra”, Wiley Eastern.. **Check price here.**

3. S. Kumaresan, “Linear Algebra”, Prentice Hal, 2000.. **Check price here.**

REAL ANALYSIS-I

Texts: (1) Tom M. Apostol, Mathematical Analysis, Second Edition, Narosa. **Check price here.**

1974.

(2) Sudhir R.Ghorpade and Balmohan V. Limaye, A course in Multivariate Calculus and Analysis, Springer, 2010. **Check price here.**

References.

1. J.A Dieudonne, Foundations of Modern Analysis, Academic Press. . **Check price here.**

2. W. Rudin, Real and Complex analysis, Tata Mc-Graw Hill. . **Check price here.**

DIFFERENTIAL EQUATIONS

Texts (1) G.F Simmons, Differential Equations (with Applications and Historical Notes),

Tata Mc Graw-Hill . **Check price here.**

(2) T.Amarnath, An elementary Course in Partial Differential Equations, Narosa . **Check price here.**

Reference

1] Ian Sneddon,Elements of Partial Differential Equations (MC Graw-Hill) **Check price here.**

2] Phoolan Prasad, Renuka Raveendran, Partial Differential Equations (Wiley Eastern) **Check price here.**

3] Zafar Ahsan, Differential Equations and their Applications (Prentice Hall 1999) **Check price here.**

4] Earl A Coddington, Norman Levinson, Theory of Ordinary Differential Equations

(Tata Mc Graw Hill)

5] G.Birkoff and G.C Rota, Ordinary Differential Equations (Wiley and Sons- 3 rd Edn

(1978)).

6] M.Ram Mohan Rao, Ordinary Differential Equations and Applications.

TOPOLOGY-I

Text: Sheldon W.Davis, Topology, Tata Mc Graw-Hill Edition 2006, Tata MC Graw-Hill **Check price here** or **here**

References.

(1) G.F Simmons, Topology and Modern Analysis, Mc Graw-Hill Inc, New York, 1963 **Check price here.**

(2) Stephen Willard, General Topology, Addison-Wesley, Reading, 1970 **Check price here**

(3) J.Arthur Seebach, Lynn Arthur Steen, Counter Examples in Topology, Dover

Publications, 1995

ALGEBRA

Text books: 1. Joseph A Gallian, Contemporary Abstract algebra, 7 th Edition Brooks/Cole, Cengage Learning **Check price here**

2. J.B Fraleigh, First Course in Abstract Algebra, 7 th Edition, PHI Learning **Check price here**

References:

1. T W Hungerford, Algebra, Springer 2005

2. I N Heirstein,Topics in Algebra, John Wiley, Inc

3. M Artin, Algebra, Prentice Hall

4. M Jacobson, Basic Algebra, Dover Books

**II Semester**

REAL ANALYSIS-II

Texts: (1) G.de.Barra, Measure Theory and Integration, New Age International Publishers, New Delhi, 1981. g **Check price here**

Ebook available at this link.

References:

(1) H.L.Royden, Real Analysis, Third Edition, Mac-Millan **Check price here**

(2) W.Rudin, Principles of Mathematical Analysis, Third Edition **Check price here**

(3)P.R Halmos, Measure Theory, Springer. **Check price here**

TOPOLOGY-II

Texts: (1) Sheldon W Davis, Topology, Tata Mc Graw-Hill Edition 2006,

Tata Mc Graw Hill **Check price here** or **here**

(2) I.M Singer, J.A Thorpe, Lecture Notes on Elementary Topology and

Geometry, Springer International Edition, Springer ( India) Private

Limited, New Delhi, 2004 **Check price here.**

References:

(1) Stephen Willard, General Topology, Addison-Wesley, Reading, 1970. **Check price here**

(2) Satya Deo, Algebraic Topology A Primer, Hindustan Book Agency, New Delhi, 2003. **Check price here**

COMPUTER PROGRAMMING IN C++

Texts: 1. Robert Lafore, Object Oriented Programming in C++ (Third Edition)

Galgotia Publications Pvt. Ltd (2003) . **Check price here**

2: K.V Venugopal and Sunder Arora, Programming with C, Tata Mc Graw Hill

Outline Series. **Check price here**

References

1. Bjarne Stroustrup, C++ programming Language, Addison Weley. **Check price here**

2. John Hubbard , Programming with C++, Shaum’s Outline Series **Check price here**

3. Namir C Sharma, Fundamentals of C++ and object oriented programming, Comdex

Computer Publishing Co

4. E.Balagurusamy, Object Oriented Programming with C++, Tata Mc Graw Hill. **Check price here**

5. Jain and Iyengar, Numerical Methods for Scientific and Engineering Computation, **Check price here**

New Age Publishers.. **Check price here**

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