Appendix A

Complex Numbers

Complex numbers are very important in engineering and science. Engineers use complex numbers in analyzing stresses and strains on beams and in studying resonance phenomena in structures as different as tall buildings and suspension bridges. There are many other applications of complex numbers, including control theory, signal analysis, quantum mechanics, relativity, and fluid dynamics.

You have probably dealt with complex numbers before. If so this appendix will serve as a review; otherwise, there is sufficient material here for you to understand complex numbers when they arise in the book. Vectors and matrices of complex numbers are not dealt with in a formal fashion. Occasionally they will arise as eigenvectors ...

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