Integrated Mathematics for Explorers: Intermediate

Front Cover
Simplicity Research Institute, Singapore, Oct 31, 2012 - Juvenile Nonfiction - 216 pages

 This 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
E Applications Index
195
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About the author (2012)

The authors:

Adeline Ng is a  mathematics lover and explorer. She has used her vast teaching experience, and personally tailored curricula, to enable students achieve significant improvement in their mathematics competency and reach their maximum potential. She also provides consultancy and training for educational institutes through the Cherish Academy, Singapore.

Dr. Rajesh R. Parwani is a theoretical physicist and mathematics enthusiast who specialises in quantum theory and cosmology. He has taught science and quantitative reasoning modules at a university, and has mentored research students from secondary to graduate school. Currently, he provides research and education consultancy through the Simplicity Research Institute, Singapore.

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