# Problems In Mathematics

160.00

This book consists of 3000+ mathematical problems related to algebra, trigonometry, geometry, vector algebra and oral examination for practice. Hints and answers are also given in the book. It will help students to revise their knowledge for entrance examinations for higher education.

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Qty: Add to Wishlist  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.

• 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