Differential Calculus 1st Edition (English, Paperback, Vinay Kumar)
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Highlights
- Language: English
- Binding: Paperback
- Publisher: McGraw Hill India
- ISBN: 9781259003530, 1259003531
- Edition: 1stEdition, 2012
- Pages: 728
Description
Differential Calculus is a comprehensive theory cum practice book that aims to acquaint aspirants with all aspects of the topic. It helps sharpen the problem solving skills in Calculus through solved and unsolved problems. The solutions to the problems are supported by time saving strategies and tips to avoid mistakes while applying the laws of Calculus.
Table of Contents
1. Limit
Table of Contents
1. Limit
- Introduction
- Concept of Infinity
- Theorems on Limits
- One-sided limits
- determinate and Indeterminate Forms
- Factorisation and Cancellation of Common Factors
- Rationalization
- Limit Using Exapnasion Series of Functions
- Standard of Limits
- Algebra of limits
- Limits when (Some function)
- Asymptotes
- Limits of a Sequence
- Limits of Forms
- Sandwich Theorem / Squeeze Play Theorem
- L'Hospital's Rule
- Geometerical Limits
- Miscellaneous Limits
- Target Problems
- Things to Remember
- Exercises
- Answers
- Definition of Continuity
- Continuity in an Interval
- Classification of Discontinuity
- Algebra of Continous Functions
- Properties of Functions Continous on a Closed Interval
- Intermediate Value Theorem
- Target Problems
- Things to Remember
- Exercises
- Answers
- Introduction
- Differentiability
- Reasons of Non-differentiability
- Relation between Continuity and Differentiability
- Derivability at Endpoints
- Differentiability over an interval
- Alternative limit form of the Derivative
- Derivatives of Higher Order
- Algebra of Differentiable Functions
- Functional Equations
- Target Problems
- Things to Remember
- Exercises
- Answers
- Introduction
- Derivative using First principle (ab initio) Method
- Derivative of Standard Functions
- Rules of Differentiation
- The Chain Rule
- Logarithmic Differentiation
- Derivative of Inverse Functions
- Parametric Differentiation
- Differentiation of Implicit Functions
- Differentiation by Trigonometric Substitution
- Derivatives of Higher Order
- Successive Differentiation
- Derivative of a Determinant
- Properties of Derivative
- L'Hospital Rule
- Target Problems
- Things to Remember
- Exercises
- Answers
- Introduction
- Rate Measurement
- Approximation
- Error
- Tangent and Normal
- Angle of Intersection
- Common Tangents
- Length of Tangent
- Target Problems
- Things to Remember
- Exercises
- Answers
- Definitions
- Monotonicity over an interval
- Critical Point
- Intervals of Monotonicity
- Monotonicity in Parametric Functions
- Algebra of Monotonous Functions
- Proving Inequalities
- Concavity and Point of Inflection
- Target Problems
- Things to Remember
- Exercises
- Answers
- Introduction
- Concept of Local Maxima and Local Minima
- Fermat Theorem
- The First Derivative Test
- The First Derivative Procedure for Sketching the Graph of a Continous Function
- Second Derivative Test
- Higher Order Derivative Test
- Extrema of Parametric Functions
- Operations on Functions having points of Extrema
- Global Maximum and Minimum
- Boundedness
- Algebra of Global Extrema
- Miscellaneous Methods
- Optimisation Problems
- Asymptotes
- Points of Inflection
- Curve Sketching
- Isolation of Roots
- Rolle's Theorem
- Deductions of Rolle's Theorem
- Lagrange's mean Value Theorem
- Corollaries of LMVT
- Related Inequalities
- Cauchy's Mean Value Theorem
- Target Problems
- Things to Remember
- Exercises
- Answers
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Ratings & Reviews
4.1
★
7 Ratings &
2 Reviews
- 5★
- 4★
- 3★
- 2★
- 1★
- 4
- 1
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2
average book
Its an average book .. for the subject .. if you are just aiming for exams you can go for it .. but if you want a book for deep knowledge on the subject , that u can add in your collection .. DON'T BUY IT .. (as its more of exam oriented and less of conceptual )
paper quality is good
presentation is not up to the mark ( non-conceptual )
Last words ..
An average book for preparation of entrance exams ..
READ MOREpaper quality is good
presentation is not up to the mark ( non-conceptual )
Last words ..
An average book for preparation of entrance exams ..
Mohnish Singh
Certified Buyer, Bhilai
Feb, 2013
0
3
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5
awesome book!!!
one of the "must have" books for iit.. much better than ia maron and others in terms of both no. and difficulty level of problems.. problems at the end of the chapter should be solved only if your target is iit. assures full marks in calculus section of iit...
READ MORERahul Mittal
Certified Buyer
Aug, 2012
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