Hello friends, in this post i am going to post about the book "A Problem Book in Mathematical Analysis", it is one of the "BEST IITJEE PREPARATION BOOKS". It is Indian student version and one of the best book for the Preparation of IIT-JEE. You will find a lot of good quality questions in this book.

CHAPTER-9 SERIES

BEST IITJEE PREPARATION BOOKS |

Some of the detailed topics in this book:-

CHAPTER-1 FUNCTIONS

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-2 LIMIT CONTINUITY

1. Basic definitions

2. Infinite magnitudes, test for the existance of the limits

3. Continuous functions

4. Finding limits, comparison of infinitesimals

CHAPTER-3 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 a rate of change

5. Repeated differentiation

CHAPTER-4 INVESTIGATING FUNCTIONS AND THEIR GRAPH

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-5 THE DEFINITE INTEGRALS

1. Definite integral and its simplest properties

2. Basic properties of the definite integrals

CHAPTER-6 INDEFINITE INTEGRAL, INTEGRAL CALCULUS

1. Simplest integration rules

2. Basic properties of integration

3. Basic classes of integrable functions

CHAPTER-7 METHODS OF EVALUATING DEFINITE INTEGRALS, IMPROPER INTEGRALS

1. Methods for exact evaluation of integrals

2. Approximate methods

3. Improper integrals

CHAPTER-8 APPLICATION OF INTEGRAL CALCULUS

1. Some problems in geometry and statics

2. Some physics problems

CHAPTER-9 SERIES

1. Numerical series

2. Functional series

3. Power series

4. Some applications of taylor's series

CHAPTER-10 FUNCTIONS OF SEVERAL VARIABLES

1. Functions of several variables

2. Simplest properties of functions

3. Derivative and differentials of functions of several variables

4. Differentiating functions

5. Repeated differentiation

CHAPTER-11 APPLICATIONS OF DIFFERENTIAL CALCULUS OF FUNCTIONS OF SEVERAL VARIBALES

1. Taylor's formula, extrema of functions of several variables

2. Plane curves

3. Vector function of a scaler argument, space curves surface

4. Scaler field, Gradient, directional derivatives

CHAPTER-12 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-13 LINE INTEGRALS AND SURFACE INTEGRALS

1. Line integrals with respect to arc length

2. Line integrals with respect to coordinates

3. Surface integrals

CHAPTER-14 DIFFERENTIAL EQUATIONS

1. Equation of the first order

2. General differential equations of the first order

3. Equation of second and higher orders

4. Linear equations

5. System of differential equations

6. Computational problems

CHAPTER-15 Trigonometric series

1. Trigonometric polynomials

2. Fourier series

3. Krylov's method, harmonic analysis

CHAPTER-16 ELEMENTS OF FIELD THEORY

• ANSWERS

• APPENDIX

If you want to be make your roots strong in calculus. Then you must try this book.Well guys, just always be motivated towards your goal, and never be tensed about the results, result just shows your present, no one knows what you will be in future. So if your result is not as you expected then take it as a challenge and analyse your errors and never again repeat them. If you have any questions regarding the book, or want to suggest a book or anything else then please contact me on my mail:- ss7555515@gmail.com or comment in the comment box. And remember the aim- "IITJEE".

• Purchase this book in 'ARIHANT PUBLICATIONS VERSION" at best price:-

http://amzn.to/2FA0J8L

• Download book from here:- G.N BERMAN

• Purchase this book in 'ARIHANT PUBLICATIONS VERSION" at best price:-

http://amzn.to/2FA0J8L

• Download book from here:- G.N BERMAN

Please provide pdf of cengage physics vol.1 mechanics

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