# Wiley's Mathematics for JEE (Main & Advanced): Algebra, Vol 1

ISBN: 9788126569045

520 pages

## Description

Algebra is frequently called the gatekeeper subject. It lays the foundation for higher mathematics and is of utmost importance to engineering students. This book has been written by a pioneer teacher associated with IIT-JEE coaching, Dr. G.S.N. Murti, along with Dr. U.M. Swamy who had an illustrious career as a renowned mathematician. 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.

Chapter 1: Sets, Relations and Functions

1.1 Sets: Definition and Examples

1.2 Set Operations

1.3 Venn Diagrams

1.4 Relations

1.5 Equivalence Relations and Partitions

1.6 Functions

1.7 Graph of a Function

1.8 Even Functions and Odd Functions

Chapter 2: Exponentials and Logarithms

2.1 Exponential Function

2.2 Logarithmic Function

2.3 Exponential Equations

2.4 Logarithmic Equations

2.5 Systems of Exponential and Logarithmic Equations

2.6 Exponential and Logarithmic Inequalities

Chapter 3: Complex Numbers

3.1 Ordered Pairs of Real Numbers

3.2 Algebraic Form a + ib

3.3 Geometric Interpretation

3.4 The Trigonometric Form

3.5 De Moivre’s Theorem

3.6 Algebraic Equations

Chapter 4: Quadratic Equations

4.1 Quadratic Expressions and Equations

Chapter 5: Progressions, Sequences and Series

5.1 Sequences and Series

5.2 Arithmetic Progressions

5.3 Geometric Progressions

5.4 Harmonic Progressions and Series

5.5 Some Useful Formulae

Chapter 6: Permutations and Combinations

6.1 Factorial Notation

6.2 Permutations

6.3 Combinations

Chapter 7: Binomial Theorem

7.1 Binomial Theorem for Positive Integral Index

7.2 Binomial Theorem for Rational Index

Chapter 8: Matrices, Determinants and System of Equations

8.1 Matrices

8.2 Determinants

8.3 Solutions of Linear Equations

Chapter 9: Partial Fractions

9.1 Rational Fractions

9.2 Partial Fractions

Appendix A: Additional Practice Problems

Index