Recommended Mathematical Science Book List for UGC/CSIR

Mathematics

S.No	Subject	BookName	AuthorName	Publisher
1	Calculus of Variation	·  Calculus of Variation with applications	A.S.Gupta	P.H.I
2	Numerical Analysis	·  Numerical Methods	Jain, Iyengar Jain	New Age Publications
		·  Introductory methods of Numerical Analysis	S.S. Sastry	Prentice Hall of India
3	Integral Equations	·  Integral Equations	M D Raisinghania
4	Statistics	·  Fundamental of mathematical statistics	S.C.Gupta and V.K.Kapoor	S.Chand
5	Complex Analysis	·  Complex Analysis	V. Karunakaran	Narosa
		·  Problems in the Theory of functions of a complex variable	L.Volkovysky Glunts and I.Aramanovich	MIR publishers and Moskow
		·  Complex variables	H.S.Kasana	PHI
		·  Functions of a complex variable	John B. conway	Springer
		·  Complex variables and applications	Ruel V. Chuchchill	International
		·  Foundation of complex Analysis	S.Ponnusamy	Narosa
		·  Theory and Problems of Complex Variables	Murray R. Spiegel	Mcgraw-Hill
		·  An introduction to Complex Analysis	Anant R. Shastri	Macmillan
6	Linear Algebra	·  Matrix Analysis	Roger A. Horn and Charles R. Jhonson
		·  Matrices	A.R.Vashistha and A.K.Vashistha	Krishna Publication
		·  Linear Algebra	Stephen H. Friedberg,Arnold J. INsel and Lawrence E. Spence	PHI
		·  Matrix Theory	David W. Lewis	Allied publishers Ltd.
		·  Lectures on Linear algebra	Mohd. zubair Khan	Anamaya
		·  Linear Algebra Through Geometry	Thomas Banchoof and John Wermer	Springer
		·  Matrix Algebra	K.M. Abadir and Jan R. Magnus
7	Modern Algebra	·  Modern Algebra	Surjeet Singh and Quzi Zameeruddin	Vikas Publishing house Pvt. Ltd.
		·  Algebra (Volume I) (Volume II)	Ramji Lal	Sahil publication
		·  Abstract Algebra	Vijay K. Khanna and S.K. Bhambari	Vikas
		·  Algebra (Volume 4)(Field Theory)	I.S.Luthar and I.B.S.Passi	Narosa
		·  Algebra (Volume 2)	I.S. Luthar and I.B.S. Passi	Narosa
		·  The Fascination of Groups	F.J. Budden
		·  Abstract Algebra (A Study Guide of Beginners)	John A. Beachy
		·  Groups, Rings and Fields	D.A.R. Wallace	Springer
		·  Algebra	Michael Artin	Pearson
		·  Modern Algebras	Spectrum P.K.Sharma, Santokh Singh Minhas	Sharma Publication
		·  Topics in Algebra	I.N. Herstein	John Willey
		·  Fundamentals of Abstract Algebra	D.S.Malik, John N. Mordeson and M.K.sen	McGraw hill
		·  Contemporary Abstract Algebra	Joseph A. Gallian	Narosa
8	Differential equation	·  P.D.E.	J.N.Sharma and Kehar Singh	Narosa
		·  Differential equation and their application	Martin Braun	Narosa
		·  O.D.E.	Garrett Birkhoff	John Wiley & sons
		·  Element of P.D.E.	Ian N. Sneddon	Mcgraw-Hill
		·  Advanced Differential Equation	M.D. Raisinghania	S.Chand
9	Real Analysis	·  Analysis 1	Terence Tao	Hindustan Book Agency
		·  Real Analysis	N.P. Bali	Laxmi Publications (P) LTD
		·  Principles of Real Analysis	S.L.Gupta and N.R.Gupta	Pearson
		·  Mathematical Analysis	S.C.Malik, Savita Arora	New Age International
		·  A first course in Analysis	George Padrick	Springer
		·  Introduction to Real Analysis	Robert G. Bertle and Donald R. Sherbert	Willey
		·  Real Analysis - II	Dr. H . Kanwar	Mohindra capitals
		·  A First course in Mathematical Analysis	D. Somasundaram and B. choudhary	Narosa
		·  Principles of Mathematical Analysis	Walter Ruddin	McGraw Hill
		·  Berkeley Problems in Mathematics	Paulo Ney De Souza	Springer
10	Operations Research	·  Problems in O.R.	P.K.Gupta, Man Mohan	S.Chand
		·  Operations Research	Kanti Swaruop	S.Chand
11	MEASURE THEORY	·  Lebesgue Measure & Integration	P.K Jain & V.K Gupta	Willy Western New age International
12	Topology	·  Topology	R.S.Aggarwal
		·  Topology	Dr. P.K.Sharma
		·  Introduction to general Topology	K.D.Joshi	New Age International

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