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Mathematics for JEE(Main and Advanced) Calculus Volume - 3 (English) 1st Edition by G S N Murti

  • ISBN: 9788126521845
  • Authors: G S N Murti
Mathematics for JEE(Main and Advanced) Calculus Volume - 3 (English) 1st Edition by G S N Murti
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Mathematics for JEE(Main and Advanced) Calculus Volume - 3 (English) 1st Edition

Author: G S N Murti
Language: English
Length (Pages): 620 Pages
Publisher: Wiley

Publication Year 2012
Edition:1st
Exam:JEE Main & Advanced
ISBN: 9788126521845

Table of Contents
Sets
Real Numbers
Bounded Set, Least Upper Bound and Greatest Lower Bound
Completeness Property of and Archimedes Principle
Relational Numbers, Irrational Numbers and Density Property of Rational Numbers
Intervals
Absolute Value of a Real Number
Functions, Limits, Continuity Sequences and Series
Functions: Varieties
Functions and Their Inverse
Even and Odd Functions, Periodic Functions
Graphs of Functions
Construction of Graphs and Transforming Theorem
Limit of a Function
Some Useful Inequalities
Continuity
Properties of Continuous Functions
Infinite Limits
Sequences and Series
Infinite Series
Worked-Out Problems
Exercises
Answers
Derivative and Differentiability
Derivatives: An Introduction
Derivatives of Some Standard Functions
Special Methods of Differentiation
Successive Derivatives of a Function
Worked-Out Problems
Summary
Exercises
Answers
Applications of Differentiation
Tangents and Normals
Rate Measure
Mean Value Theorems
Maxima-Minima
Convexity, Concavity and Points of Inflection
Cauchys Mean Value Theorem and LHospitals Rule
Worked-Out Problems
Summary
Exercises
Answers
Indefinite Integral
Introduction
Examples on Direct Integration Using Standard Integrals
Integration by Substitution
Integration by Parts
Fundamental Classes of Integrable Functions
Worked-Out Problems
Exercises
Answers
Definite Integral, Areas and Differential Equations
Definite Integral
Areas
Differential Equations
Worked-Out Problems
Exercises
Answers
Index

 

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