Wiley's Mathematics for JEE (Main & Advanced): Algebra, Vol 1
ISBN: 9788126569045
520 pages
For more information write to us at: acadmktg@wiley.com
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