This book is written for the New Senior Secondary Math Curriculum in Hong Kong.
Its aim is to provide an alternative approach to learning mathematics, an approach more vigorous
than that provided by most standard textbooks in Hong Kong.
In this book, besides examples, which are similar to those found in standard textbooks,
there are many definitions and theorems etc.
Examples tell us *how* to do. To know
*what* we are doing, we need definitions etc.
To understand *why* we can use a certain method, we need theorems etc.
Although, the concept of *sets* is not included in the math curriculum,
it is used implicitly in the concept of *domains* (of functions)
and that of *events* (in the topic of probability). For this reason,
a brief introduction to set languange is given in the first part of Chapter 1.

math.zip (6091 KB, contains the source tex files, style files and eps files for figures; to use the source files, unzip the files and open the file S4.tex and run latex twice)

nb.zip (1878 KB, contains mathematica notebook files for producing eps files used in different chapters)

Comments and suggestions are welcome. Please send email to
math@schung.info