M.Sc. Textbooks – Kerala University – III/IV Semester (II 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

COMPLEX ANALYSIS – I
Text: John. B. Conway, Functions of Complex Variables, Springer-Verlag, New York, 1973.
(Indian Edition: Narosa)

Check price here.

References:
1. L.V. Ahlfors, Complex Analysis, Mc-Graw Hill (1966) Check price here.
2. S. Lang, Complex Analysis, Mc-Graw Hill (1998) Check price here.

FUNCTIONAL ANALYSIS – 1
Text: B.V Limaye, Functional Analysis (2 nd Edition) Check price here.

References:
1. Dunford M and J.T Schwarz, Linear Operators Part 2, Wiley. Check price here.
2. Taylor A.E, Introduction to Functional Analysis, Wiley. Check price here.
3. G.F. Simmons, Topology and Modern Analysis, Mc Graw Hill. Check price here.

 

COMPLEX ANALYSIS – II
Text: John. B. Conway, Functions of Complex Variables, Springer-Verlag, New York, 1973
(Indian Edition: Narosa) Check price here.

 

References:
1. L.V. Ahlfors, Complex Analysis, Mc-Graw Hill (1966) Check price here.
2. W. Rudin, Real and Complex Analysis, Mc-Graw Hill. Check price here.

 

FUNCTIONAL ANALYSIS – II
Texts: 1) B.V Limaye, Functional Analysis (2 nd Edition) Check price here.
2) G.F. Simmons, Topology and Modern Analysis, International Student Edition,
Mc Graw Hill Ltd, New Delhi. Check price here.

References:
1. Dunford M and J.T.Schwarz, Linear Operators Part 2 , Wiley . Check price here.
2. Taylor A.E, Introduction to Functional Analysis, Wiley Check price here.

 

AUTOMATA THEORY (Elective)
Text: J.E. Hoporoft and J.D. Ullman, Introduction to Automata Theory Languages and
Computation, Narosa, 1999. Check price here.

References
1. G.E Revesz , Introduction to Formal Languages Check price here.
2. P.Linz , Introduction to Formal Languages and Automata, Narosa 2000 Check price here.
3. G.Lallment, Semigroups and Applications Check price here.

PROBABILITY (Elective)
Texts:
(1) Laha R.G and Rohtagi V.K ,“ Probability Theory”, JohnWiley, New York ( 1979)s Check price here.
(2) Johnson N.L and Kotz,S “Distributions in Statistics: Discrete Distributions”, John Wiley,
New York ( 1969)s Check price here.
(3) Johnson N.L, and Kots.S “ Distributions in Statistics: Continuous Univariate Distributions”,
Vol 1 and 2 ,John Wiley, New York ( Paperback, 1970) s Check price here.

References:
(1). Ash R.B- “Basic Probability Theory”, John wiley, New York (1970)
(2). Bhat B.R-“Modern Probability Theory: An Introduction Text Book”, Wiley Eastern
(Second Edition) 1985
(3). Gnedenko B.V-“The Theory of Probability” , Mir Publishers Moscow (1969)
(4). Luckacs.E-“Characteristic Functions”, Hafner, New York (Second Edition, 1970)
(5). Luckacs. E- “Stochastic Convergence”, Academic Press (Second Edition, 1975)
(6). Johnson N.L, Kots,S and Balakrishnan.N-“Continuos Univariate Distribution”,
Vol.1 and 2 , John Wiley, New York (Second Edition, 194 vol.1 1995 Vol.2)
(7). Johnson N.L, Kots.S and Kemp A.W-“Univariate Discrete Distributions”,
JohnWiley, New York” Second Edition 1992)

OPERATIONS RESEARCH (Elective)
Texts: 1) Ravindran, Philips, Solberg, Operations Research, Principles and Practice, Second
Edition, John Wiley & Sons. Check price here.
2) K. V. Mital, C. Mohan. Optimization Methods in Operations Research and Systems
Analysis, Third Edition, New Age International Publishers, New Delhi. Check price here.

 

Reference:
Hamdy A. Taha, Operations Research, Fifth edition, PHI Check price here.

APPROXIMATION THEORY (Elective)
Text: EW Cheney, “Introduction to Approximation Theory”, Mc Graw Hill Check price here.

Reference:
P.J Davis. “Interpolation and Approximation”, Blaisdell Publications. Check price here.

GEOMETRY OF NUMBERS (Elective)
Text Book: D.D Olds,Anneli Lax and Guiliana P. Davidoff, The Geometry of Numbers,
The Mathematical Association of America 2000 Check price here.

References
1. J.W.S Cassells, Introduction to Geometry of Numbers, Springer Verlag 1997 Check price here.
2. C.I Siegel, Lectures in Geometry of Numbers, Springer Verlag 1989. Check price here.

 

GRAPH THEORY (Elective)
Text: Gary Chartrand and Ping Zhang , Introduction to Graph Theory, Tata Mc Graw Hill,
Edition 2006 Check price here.

References:
1. Bondy J.A and Murthy U.S.R, “Graph Theory with Applications”, the Macmillan Press
Limited. Check price here.
2. Hararay F.,”Graph Theory”, Addison-Wesley Check price here.
3. Suesh Singh G.,”Graph Theory”, PHI Learning Private Limited Check price here.
4. Vasudev.C , ”Graph Theory Applications”. Check price here.
5. West D.B,”Introduction to Graph Theory”, PHI Learning Private Limited Check price here.

 

DIFFERENTIAL GEOMETRY (Elective)
Text: John.A. Thorpe, Elementary Topics in Differential Geometry, Springer Verlag Check price here.

References:
[1] I Singer and J.A Thorpe, Lecture notes on Elementary Topology and Geometry, Springer-
Verlag Check price here.
[2] M Spivak, Comprehensive introduction to Differential Geometry (Vols 1 to 5), Publish or Perish
Boston.

MATHEMATICAL STATISTICS (Elective)
Texts:
(1) Lehmann.E.L “Theory of Point Estimation”, John wiley, New York (1983).
(2) Lehmann.E.L “Testing of Statistical Hypothesis”, John Wiley, New York ( Second Edition 1986)
(3) Randles R.H and Wolf D.A-“Introduction to the Theory of Non Parametric Statistics”, Wiley,
New York (1979)
(4) Kendall, M.G and Stuart. A, ”The Advanced Theory of Statistics”, Vol. 2 Mac Millan , New York
(Fourth Edition 1979)

References:
1) Rohatgi V.K , “ An Introduction to Probability Theory and Mathematical Statistics”, Wiley
Eastern New Delhi ( 1985)
2) Rao, C.L , “ Liner Statistical Inference and Its Applications “, Wiley Eastern ,
New Delhi ( 1974)
3) Mood Ali, Gray Bill Fhardoes D.C” , “Introduction to the Theory of Statistics”, Mc Graw
Hill International, New York ( Third Edition, 1972)

FIELD THEORY (Elective)
Text: Joseph Rotman, Galois Theory, Second Edition, Springer, 1998.

References:
1. Harold M. Edwards, Galois Theory, Springer, 1984.
2. Joseph . A. Gallian, Contemporary Abstract Algebra, 7th Edition, Brooks/Cole.
3. J. B. Fraleigh, A First Course in Abstract Algebra, 7th Edition, PHI.
4. T. W. Hungerford, Algebra, Springer 2005.
5. O. Zariski and P. Samuel, Commutative Algebra, Vol. I, Springer – Verlag

MECHANICS (Elective)
Text: Herbert Gioldstein, Classical Mechanics, Addison Wesley

Reference:
Synge J.L and Griffith B.A, Principles of Mechanics, MC Graw-Hill

THEORY OF WAVELETS (Elective)
Text Book:
Michael Frazier, An Introduction to Wavelets through Linear Algebra, Springer Check price here.

References:
Mayor (1993), Wavelets and Operators, Cambridge University Press Check price here.
Chui. C( 1992), An Introduction to Wavelets, Academic Press, Boston Check price here.

Leave a Reply