Mathematics for the JEE advanced 1st edition

I would like to download the Mathematics for the JEE Advanced (English) 1st Edition by Khurma. Is this books is available online? If yes then please tell me how I can free download this book? Also tell me about its price at book store?

Hello sir ! I have apply for JEE exams . can you please provide me information about Mathematics for The JEE advanced 1st edition ?

[Kiran Chandar]

Hello buddy as we have Mathematics for The JEE advanced 1st edition is good
book and other specification are as

New Pattern Mathematics for JEE (Advanced) 1st Edition is a comprehensive
book following the new pattern for the JEE (Joint Entrance Exams) in
Mathematics.

About Cengage Learning India Pvt. Ltd Cengage Learning India Pvt. Ltd.
Book Specification

Author

Manan Khurma,Prakash Rajpurohit

ISBN-13

9789332507975

ISBN-10

933250797X

Publisher

Pearson India

Publication Year

2013-01-01

Number of Pages

1016 Pages

Binding

Paperback

Language

English

Dimension

16.4 x 22.4 x 4 cm

Topics covers

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 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.

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.