Description
Wiley Wiley'S Mathematics For Jee (Main & Advanced): Algebra, Vol 1, 2019Ed by Dr. G S N Murti, Dr. U M Swamy
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, alongwith 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.
About the Author
Dr. G.S.N. Murti: An eminent mathematician, accomplished author and a dedicated teacher, Dr. G.S.N. Murti brings vast knowledge and experience to teaching the fundamental concepts of pure Mathematics. Dr. Murti has taught Mathematics at degree level for 27 years before moving onto coach prospective IIT-JEE candidates. Over the last 25 years, his name has become synonymous with the best quality IIT-JEE coaching in Mathematics.
Dr. U.M. Swamy: He is an illustrious Mathematician with 40 years of teaching and research experience who served at various levels in the Department of Mathematics at Andhra University and superannuated as Chairman of the Faculty of Science in 2006 from the University. He is acclaimed as a distinguished teacher in the teaching community. Government of Andhra Pradesh felicitated him with the “Best Teacher Award” in 2006
Table of Contents
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
Worked-Out Problems
Summary
Exercises
Answers
Index