JEE Advanced Free Study Material

I have completed 12th and want to prepare for Indian Institutes of Technology Joint Entrance Examination (IIT-JEE) and looking for Free Study Material for JEE Advanced so please suggest me some websites which provide fee books and papers?

Can you list me the names of some of the good reference Mathematics Books for preparation of JEE Advanced Examination as I need it for preparation?

[sumit]

The names of some of the good reference Mathematics Books for preparation of JEE Advanced Examination are as follows:


Skills in Mathematics for JEE Main and Advanced
Arihant Publication

Advanced Problems in Mathematics for JEE (Main & Advanced)
Vikas Gupta and Pankaj Joshi

Mathematics
Cengage

IIT Mathematics
ML Khanna

Comprehensive Mathematics
Tata Mc Graw Hill Publication

R.D. Sharma
Maths XI & XII

Hall Knight
Higher Algebra

I.A. Maron
Problems in Calculus of One Variable

Arihant Prakashan
Algebra

Arihant Prakashan
Differential Calculus

Arihant Prakashan
Integral Calculus

S.L. Loney
Plane Trigonometry Part 1

S. L. Loney
Plane Co-ordinate Geometry

Hall and Knight
Higher Algebra

Shanti Narayan
Vector

W. Feller
Introduction Probability & Its Applications

Arihant Prakshan
Vector and 3D Geometry

Tata McGraw Hill (TMH)
Mathematics

I.A. Maron
Problems in Calculus of One Variable

J. Edward
Calculus

R. S. Agarwal
Maths XI and XII

V. Govorov, P. Dybov, N. Miroshin and S. Smirnova
Problems in Mathematics

Barnard and Child
Higher Algebra

Dr. Gorakh Prasad
Co-ordinate Geometry

K.P. Basu
Algebra made easy

Patapov, DoroFeev
Elementary Maths

Krechmar
Maths

G. N. Berman
A Problem Book in Mathematical Analysis

Tata Mc Graw Hill
Complete Course IIT Mathematics

A Dasgupta
IIT Mathematics Plus


JEE Advanced Mathematics Syllabus


Algebra
Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations.

Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots.

Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers.

Logarithms and their properties.

Permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients.

Matrices
Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.

Probability
Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.

Trigonometry
Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations.

Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only).

Analytical geometry
Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin.

Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangle.

Equation of a circle in various forms, equations of tangent, normal and chord. Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line.

Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal.

Locus problems.

Three dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.

Differential calculus
Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions.

Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions.

Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions.

Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions.

Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem.

Integral calculus
Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, fundamental theorem of integral calculus.

Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves.

Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.

Vectors
Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.