M.Sc. Textbooks – Kerala University – I/II Semester (I Year)

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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