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About this book :-
Mathematics for IIT JEE Main and Advanced Calculus Vol-3 written by
GSN Murti, KPR Sastry
Calculus - the most important topic for IIT-JEE aspirants - constitutes a major part of modern mathematics. It has two major branches, differential calculus and integral calculus, which are related by the fundamental theorem of calculus. Calculus is the study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. A course in calculus is a gateway to other, more advanced courses in mathematics.
This book has been written by a pioneer teacher associated with IIT-JEE coaching, Dr. G.S.N. Murti, along with Dr. K.P.R. Sastry, who had an illustrious career in academia.
The book has a two-fold advantage: (a) Conceptual strength provided by accurate, precise but sufficient coverage of topics; (b) solved and unsolved problems as per IIT-JEE pattern for strengthening concepts. The main idea is to make students understand the theory behind to enable them to strategize a given problem and tactically solve it.
Book Detail :-
Title: Mathematics for IIT JEE Main and Advanced Calculus Vol-3
Edition:
Author(s): GSN Murti, KPR Sastry
Publisher: Wiley
Series: IITJEE IIT JEE Main and Advanced Calculus
Year: 2019
Pages: 625
Type: PDF
Language: English
ISBN: 8126521848, 978-8126521845
Country: India
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About Author :-
Author G S N Murti is professor and Head of Department of Mathematics, Rajah R. S. R. K. R. R. College, Bobbili, Andra Pradesh, India. He is also work as Senior Mathematics Faculty at Narayana IIT Academy, SPARK Batch, AC Campus, Visakhapatnam, Andra Pradesh, India.
Author John D. Blanton is Professor of Mathematics, Department of Mathematics, Andra Pradesh, India.
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Book Contents :-
Mathematics for IIT JEE Main and Advanced Calculus Vol-3 written by
GSN Murti, KPR Sastry
cover the following topics.
0. Pre-Requisites
0.1 Sets
0.2 Real Numbers
0.3 Bounded Set, Least Upper Bound and Greatest Lower Bound
0.4 Completeness Property of and Archimedes’ Principle
0.5 Rational Numbers, Irrational Numbers and Density Property of Rational Numbers
0.6 Intervals
0.7 Absolute Value of a Real Number
1. Functions, Limits, Continuity, Sequences and Series
1.1 Functions: Varieties
1.2 Functions and Their Inverse
1.3 Even and Odd Functions, Periodic Functions
1.4 Graphs of Functions
1.5 Construction of Graphs and Transforming Theorem
1.6 Limit of a Function
1.7 Some Useful Inequalities
1.8 Continuity
1.9 Properties of Continuous Functions
1.10 Infinite Limits
1.11 Sequences and Series
1.12 Infinite Series
Worked-Out Problems
Exercises
Answers
2. Derivative and Differentiability
2.1 Derivatives: An Introduction
2.2 Derivatives of Some Standard Functions
2.3 Special Methods of Differentiation
2.4 Successive Derivatives of a Function
Worked-Out Problems
Summary
Exercises
Answers
3. Applications of Differentiation
3.1 Tangents and Normals
3.2 Rate Measure
3.3 Mean Value Theorems
3.4 Maxima–Minima
3.5 Convexity, Concavity and Points of Inflection
3.6 Cauchy’s Mean Value Theorem and L’Hospital’s Rule
Worked-Out Problems
Summary
Exercises
Answers
4. Indefinite Integral
4.1 Introduction
4.2 Examples on Direct Integration Using Standard Integrals
4.3 Integration by Substitution
4.4 Integration by Parts
4.5 Fundamental Classes of Integrable Functions
Worked-Out Problems
Exercises
Answers
5. Definite Integral, Areas and Differential Equations
5.1 Definite Integral
5.2 Areas
5.3 Differential Equations
Worked-Out Problems
Exercises
Answers
Index
Note:-
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