IAS Maths Series

IAS Math (Series) Contents Series: Trigonometry

442-14 ` 135.00 Y

Inverse Circular Functions

Theorem

Fourteenth Edition

A.R. Vasishtha, S.K. Sharma & A.K. Vasishtha

Y

Y

Complex Numbers

Y

De-Moiver's Theorem

Y

Deduction from De-Moivre's

Exponential, Trigonometric and Hyperbolic Functions of a Complex Variable

Complex Quantities

Y

Inverse Circular and Hyperbolic Functions of Complex Quantities

Trigonometrical Functions

Y

Gregory's Series and Trigonometrical Expansions

Y

Y

Logarithms of

Y

Expansion of Some

Summation of Trigonometrical

Series.

Series: Matrices

443-19 ` 110.00 Y Y

Algebra of Matrices

Y

Determinants

Y

Inverse of a Square Matrix

Y

Y

General Properties of Equation

Symmetric Functions of the Roots

Other Topics

Y

Inequalities

Y

Linear Equations

Y

Y

Relations between the Roots and Coefficients of an

Transformation of Equation

Y

Solution of Cubic Equations,

Series: Differential Calculus

446-21

A.R. Vasishtha, S.K. Sharma & A.K. Vasishtha

Differentiation

Y

Indeterminate Forms

Successive Differentiation Y

Tangents and Normals

Variable, Miscellaneous Solved Problem Variable)

Eleventh Edition

Continued Fractions Y Convergence of Infinite Series.

` 250.00

Y

Y

Y Y

Expansions of Functions Curvature

Y

Asymptotes

Y

Y

Twenty First Edition

Partial Differentiation

Change of the Independent

Maxima and minima (of Functions of a Single Independent

Maxima and Minima (of Functions of Two Independent variable) Y Maxim a and Minima (of

Function of Several Variables) Y

Y

A.R. Vasishtha, R.K. Gupta & A.K. Vasishtha

Theory of Equation

Equation

Y

Rank of a Matrix

Series: Algebra

` 140.00

Y

Y

Eigenvalues and Eigenvectors or Characteristic Roots and Characteristic Vectors.

444-11

Y

Nineteenth Edition

A.R. Vasishtha & A.K. Vasishtha

Y

Envelopes and Evolutes

Y

Jacobians

Y

Functions of a Real Variable, Limits, Continuity and Differentiability

Singular Points Y

Y

Curve Tracing

Rolle's Theorem, Mean Value

Theorem, Taylor's and Maclaurin's Theorems.

Series: Integral Calculus

447-18 ` 250.00

A.R. Vasishtha, S.K. Sharma & A.K. Vasishtha

Y

Elementary Integration (Standard Forms, Integration by parts)

Y

Integration of Irrational Algebraic Fractions

Formulae (Trigonometric Functions) Transcendental Functions]

Y

Y

Y

Y

Eighteenth Edition

Integration of Rational Fractions

Integration of Trigonometric Functions

Y

Reduction

Reduction Formulae (Continued) [For Irrational, Algebraic and

Definite Integrals (Properties of Definite Integrals, Definite Integral as the

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limit of Sum, Summation of Series with the help of Definite Integrals) Y

Y

Areas of Curves (Quadrature)

Lengths of Curves (Rectification) (Lengths of Curves and Intrinsic Equations)

Y

Volumes and Surfaces of

Solids of Revolution (Volumes of Solids of Revolution, Surface of Solids of Revolution, Theorem of Pappus and Guldin)

Y

Multiple Integrals (Double Integrals, Triple Integrals, Change of Order of Integration, Change of

Variables in Double Integral)

Y

Beta and Gamma Functions (Euler's Integrals, Dirichlet's Integrals, Liouville's

Extension of Dirichlet's Theorem Y Convergence of Improper Integrals.

Series: Differential Equation

448-14 ` 150.00 Y

Differential Equation I Y Introduction

Equations with Constant Coefficients Y

Fourteenth Edition

A.R. Vasishtha & S.K. Sharma

Y

Y

Differential Equation of 1

Orthogonal Trajectories

Y

st

st Order and 1 Degree

Differential Equation of the First Order but not of the First Degree

Equations of Second Order with Variable Coefficients

Y

Y

Linear Differential

Homogeneous Linear Differential Equations Y

Differential Equations II

Linear

Y

Ordinary Simultaneous Differential Equations

Y

Total

Differential Equations.

Series: Analytical Geometry of Two Dimensions

449-10 ` 125.00 Y

Tenth Edition

A.R. Vasishtha, D.C. Agarwal & A.K. Vasishtha

Change of Axes

Hyperbola

Y

Y

Polar Equation of a Conic (Chord of Contact)

Y

Tracing of Conics (General

Equation of Second Degree) Y General Conics, Contacts and Confocals Y Ellipse.

Series: Analytical Geometry of Three Dimensions

450-13 ` 160.00 Y

System of Co-ordinates

Distance Y

A.R. Vasishtha, R.K. Gupta & A.K. Vasishtha

Y

Y

Direction Cosines and Projections

Volume of Tetrahedron

Y

Skew Lines

Y

The plane Y

Y

The Straight Line

The Sphere

Y

The Cylinder

Y

Y

Shortest

The Cone

Central Conicoids.

451-6

Series: Modern Algebra

` 170.00

A.R. Vasishtha & Kiran Vasishtha

Y

Mappings, Binary Compositions and Relations

Y

Normal subgroups.

452-8 ` 125.00 Y

Y

Change of Axes

Thirteenth Edition

Y

Group

Y

Rings

Y

Vector Spaces

Series: Vector Calculus A.R. Vasishtha & Kiran Vasishtha

Y

Sixth Edition Rings (Continued)

Eighth Edition

Multiple Products Y Differentiation and Integration Vectors Y Gradient, Divergence and Curl Y Green's, Gauss's

and Stroke's Theorems.

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Series: Statics

455-12 ` 210.00 Y

Introduction (Concurrent Force, Lami's Theorem)

Equilibrium of Coplanar Forces) Y

Y

Virtual Work

Y

Equilibrium of a Rigid Body (Moments,

Strings in Two Dimensions (Common Catenary)

Y

Strings in Two Dimensions (Catenary of Uniform Strength and Strings Resting on a Smooth and

Rough Plane Curve)

Y

Stable and Unstable Equilibrium

Y

Three Dimensions [Central Axis(Excluding Wrenches)] Wrenches; Nul Lines and Nul Planes)

Y

Attraction

Y

Centre of Gravity, 8. Equilibrium of Force in Y

Force in Three Dimension (Screws and

Potential.

Series: Dynamics

456-15 ` 245.00 Y

Twelfth Edition

A.R. Vasishtha, R.K. Gupta & A.K. Vasishtha

Kinematics in Two Dimensions

Motion (The Inverse Squar Law)

Y

Y

Rectilinear Motion

Y

Constrained Motion

Y

Central Orbits

Motion in a Resisting Medium (In a Straight Line)

Y

Energy and Impulse Y D' Alembert's Principle (And Equation of Motion of Rigid Body) Y

Fifteenth Edition

A.R. Vasishtha, R.K. Gupta & A.K. Vasishtha

Y

Planetary

Projectiles

Y

Y

Work,

Moment of Inertia

Motion about a Fixed Axis.

Series: Real Analysis

457-6 ` 235.00

Sixth Edition

A.R. Vasishtha, A.K. Vasishtha & Hemlata Vasishtha

Y

Real Number System (Bounded and Unbounded Set of Real Numbers, Neighborhoods and Limit Points)

Y

Sequences

Y

Infinite Series

Riemann-Stieltjes Integral

Y

Y

Limits and Continuity

Y

Differentiability

Y

The Riemann Integral

Uniform Convergence of Sequences and Series of Functions

Y

Y

The

Convergence of

Improper Integrals.

Series: Numerical Analysis

458-9 ` 185.00 Y

The Calculus of Finite Difference

Intervals) Y

A.R. Vasishtha, A.K. Vasishtha & Hemlata Vasishtha

Y

Y

Interpolation (With Equal Intervals)

Solution of Algebraic and Trancendental Equation

Y

459-1 ` 100.00

Y

Numerical Integration

Y

Interpolation (with Unequal

Simultaneous Linear Algebraic Equations

Matrix Inversion Y Numerical solution of Ordinary Differential Equations

Interpolation Formulae

Y

Nineth Edition

Y

Central Differences & Gauss

Approximations.

Series: Hydrostatics A.R. Vasishtha, Vipin Vasishtha & A.K. Vasishtha

First Edition

Preliminary Concepts Y Theorems on Fluid Pressure under Gravity and Condition of Equilibrium of Fluid Whole Pressure on a Plane Surface Y Thrusts on Curved Surfaces Y Centre of Pressure Y Equilibrium of Floating Bodies. Y Y

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