COMPLEX NUMBERS

CONTENTS

 

1. Complex Numbers

2. Analyitic Functions

3. Elementary Functions

4. Mapping by Elementary Functions

5. Integrals (Part A)

Integrals (Part B)

6. Series

7. Residues and Poles

 

INTRODUCTION

 

Navigation

The above links will open each pdf file in a new window. To return to the Contents page, simply close the window.

 

Quizzes

The quizzes are an important part of this package. There is a place alongside each question for you to enter your answer. To avoid insoluble formatting problems, you could adopt the commonly used symbols ^ and _ for superscript and subscript. Thus x12 would appear as x_1^2. Greek letters can be written out in full. Thus π appears as ‘pi’. Alternatively you can use pen and paper. I regret that the CHECK arrows are no longer functional (and I am unable to repair them!)

References

These web course notes and quizzes have been used since 1999. They have evolved from many years of lecturing this course. However, the basic imprint of the book Complex Numbers and Applications by Churchill et al (McGraw Hill) is still evident. I gratefully acknowledge the inspiration of this valuable book, and refer readers to it. In fact, it is difficult to conceive of a better ordering of presebtation for this topic than that provided by this book. I strongly recommend it as a text or reference.

Other books which may be useful for reference are

Complex Variables, Polya and Latta (Wiley);

Fundamentals of Complex Analysis, Saff and Snider (Prentice Hall);

Complex Variables, Silverman (Houghton Mifflin)

I hope you find these notes and quizzes useful. Please send any comments or corrections to the author.

 

Email: mail@paulscott.info           Web: www.paulscott.info