Integrated Mathematics for Explorers: IntermediateThis book is for mathematics lovers, but if you are not one, we hope you soon will be. Although it mainly targets enthusiasts in high-school and liberal arts colleges, the book is structured to make learning interesting for students with different interests and backgrounds. Practice questions are of various levels of complexity and include many explorations of real-life situations: They develop understanding, build confidence and examine multiple concepts. Challenges have been included for the adventurous, while Investigations are suggested for self-study. The Escapades chapter contains stimulating puzzles to encourage experimentation, a list of unsolved mathematical problems, and a collection of wonderful theorems. The book includes simple tips to help the reader relax and re-energise. About the Authors: Adeline Ng and Dr. Rajesh Parwani are educators based in Singapore. |
Contents
Exponents and Logarithms | 1 |
Polynomials and Rational Functions | 21 |
Simultaneous Equations and Matrices | 41 |
Trigonometry | 57 |
Coordinate Geometry | 85 |
Plane Geometry | 101 |
Differential Calculus | 111 |
Integral Calculus | 127 |
Supplementary Questions | 143 |
Escapades | 151 |
A Formulae and Summary | 159 |
B Hints for Selected Exercises | 171 |
Answers to Exercises | 177 |
Answers to OddNumbered Problems | 187 |
195 | |
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Integrated Mathematics for Explorers: Intermediate Rajesh R. Parwani,Adeline Ng No preview available - 2013 |