Answer Details:

The most important books for JEE are "Differential and Integral Calculus" by N.Piskunov and "An unusual algebra" by

I.M. Yaglom. The entire list is given below

Title	Author	Year	Pages
Pascal’s triangle	Vladimir A Uspenski	1973	86
Method of successive approximations	N. Ya. Vilenkin	1979	109
The fundamental theorem of arithmetic	L. A. Kaluzhnin	1979	35
The kinematic method in geometrical problems	Yu. I. Lyubich, L. A. Shor	1980	55
Calculus of rational functions	G.E. Shilov	1976	50
Complex numbers and conformal mappings	A.I. Markushevich	1982	62
Geometrical constructions with compasses only	A. Kostovskii	1986	77
Proof in geometry	A I Fetisov	1982	64
Algebraic equations of arbitrary degrees	A.G. Kurosh	1977	35
Gödel’s incompleteness theorem	Vladimir A Uspenski	1987	102
The Euler Characteristic	Yu A Shashkin	1989
Elements of Game Theory	Ye Venttsel	1980
Method of coordinates	A S Smogorzhevsky	1984	47
Plotting graphs	G.E. Shilov, S Sosinsky	1978	29
Systems of linear equations	L.A. Skorniakov.	1988	64
Differentiation explained	V.G. Boltyansky	1977	62
Recursion sequences	A I Markushevich	1975	48
Solving equations in integers	A.O. Gelfond	1978	56
Shortest lines : variational problems	L.A. Lyusternik	1973	103
Fascinating fractions	N.M. Beskin	1986	86
An unusual algebra	I.M. Yaglom	1978	127
The methods of mathematical induction.	I S Sominsky	1975	63
Inequalities	P P Korovkin. Sergei Vrubel	1986	71
Stereographic projection	B. A. Rosenfeld; N. D. Sergeeva	1986	50
The Monte Carlo method	I.M. Sobol.	1975	72
Dividing a segment in a given ratio	N.M. Beskin.	1975
Lobachevskian geometry.	A S Smogorzhevsky	1982	69
Systems of linear inequalities	A. S. Solodobnikov	1979	122
Induction in geometry	L. I. Golovina and I. M. Yaglom	1979	132
Post’s machine	V.A. Uspensky	1983	88
Areas and logarithms	A.I. Markushevich	1981	69
Remarkable curves	A.I. Markushevich	1980	47

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