1
Preliminary Background
The reader will find that this book strongly resembles a semester course, as if it were the lectures and the exercises in a bound volume. In fact, the actual execution of a semester course has been captured in the form of a book with minor alterations. Each chapter is a ‘lesson’ and has been planned for effective delivery and smooth learning.1 In effect, the book is indeed a course and the two words may be used interchangeably.
Theme of the Book
The purpose of this book is, primarily, to develop a firm mathematical background necessary for graduate studies and research in engineering and science. To this end, it first revises and summarizes undergraduate mathematics. Next, it extends and supplements these fundamental ...
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