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Problems In Mathematics
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Problems In Mathematics

Rs.160.00

160 INR
    ISBN: 9789385966668
    Author: V.GOVOROV P.DYBOV,N.MIROSHIN,S.SMIRNOVA
    Edition: 2016-17
    Pages: 404
  • Shipping Weight: 334gms
  • Classes: Class 11, Class 12
  • Exams: JEE Mains-Advanced
  • Subjects: Mathematics
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Product Description

MTG’s ORIGINAL MASPTERPIECE is a series of collection of books that started their journey as best sellers and continue as a chart-topper generation after generation. Even today these books are considered as a masterpiece among the teachers and students fraternity which is passionate about the subject. 

The USP of MTG’s ORIGINAL MASTERPIECE Series lies in the fact that the work has been reproduced from the Original artifact and remains as true to the original work as possible.

The full solutions are provided to help students reaching the right answer systematically.

The student will find the book most useful if he uses it actively, that is to say, if he studies the relevant theoretical material carefully before going on to the worked-out solutions, and finally reinforces the newly-acquired knowledge by solving the problems given for independent work. The best results will be obtained when the student, having mastered the theoretical part, immediately attacks the unsolved problems without referring to the text solutions unless in difficulty.

Contents :-

 

Preface

Chapter I. Function

1.      Preliminaries

2.      Simplest Properties of Functions

3.      Basic Elementary Functions

4.      Inverse Function. Power, Exponential and Logarithmic Functions

5.      Trigonometric and Inverse Trigonometric Functions

6.      Computational Problems

Chapter II. Limit. Continuity

1.      Basic Definitions

2.      Infinite Magnitudes. Tests for the Existence of the Limit

3.      Continuous Functions

4.      Finding Limits. Comparison of Infinitesimals

Chapter III. Derivative and Differential. Differential Calculus

1.      Derivative. The Rate of Change of a Function

2.      Differentiating Functions 

3.      Differential. Differentiability of a Function

4.      The Derivative as the Rate of Change

5.      Repeated Differentiation

Chapter IV. Investigating Functions and Their Graphs

1.      Behaviour of a Function

2.      Application of the First Derivative

3.      Application of the Second Derivative

4.      Additional Items. Solving Equations

5.      Taylor’s Formula and Its Application

6.      Curvature

7.      Computational Problems

Chapter V. The Definite Integral

1.      The Definite Integral and Its Simplest Properties

2.      Basic Properties of the Definite Integral

 

Chapter VI. Indefinite Integral. Integral Calculus

1.      Simplest Integration Rules

2.      Basic Methods of Integration

3.      Basic Classes of Integrable Functions

Chapter VII. Methods for Evaluating Definite Integrals.

                   Improper Integrals

1.      Methods for Exact Evaluation of Integrals

2.      Approximate Methods

3.      Improper Integrals

Chapter VIII. Application of Integral Calculus

1.      Some Problems in Geometry and Statics

2.      Some Physics Problems

Chapter IX. Series

1.      Numerical Series

2.      Functional Series

3.      Power Series

4.      Some Applications of Taylor’s Series

Chapter X. Functions of Several Variables. Differential Calculus

1.      Functions of Several Variables

2.      Simplest Properties of Functions

3.      Derivatives and Differentials of Functions of Several Variables

4.      Differentiating Functions

5.      Repeated Differentiation

Chapter XI. Applications of Differential Calculus of

                 Functions of Several Variables

1.      Taylor’s Formula. Extrema of Functions of Several Variables

2.      Plane Curves

3.      Vector Function of a Scalar Argument. Space Curves. Surfaces

4.      Scalar Field. Gradient. Directional Derivative

Chapter XII. Multiple Integrals

1.      Double and Triple Integrals

2.      Multiple Integration

3.      Integrals in Polar, Cylindrical and Spherical Coordinates

4.      Application of Double and Triple Integrals

5.      Improper Integrals. Integrals Dependent on Parameters

Chapter XIII. Line Integrals and Surface Integrals

1.      Line Integrals with Respect to Arc Length

2.      Line Integrals with Respect to Coordinates

3.      Surface Integrals

Chapter XIV. Differential Equations

1.      Equations of the First Order

2.      General Differential Equations of the First Order

3.      Equations of the Second and Higher Orders

4.      Linear Equations

5.      Systems of Differential Equations

6.      Computational Problems

Chapter XV. Trigonometric Series

1.      Trigonometric Polynomials

2.      Fourier Series

3.      Krylov’s Method. Harmonic Analysis

Chapter XVI. Elements of Field Theory

Answers

Appendix                              

 



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