of a Complex Variable, and Fourier Series and Integrals. These topics are adequately treated in surprising detail. Exercises are given at the end of each chapter.
The chapter on determinants covers material through Cramer's Rule, the rank of a determinant, and conditions for the existence of solutions of a system of simultaneous linear equations. The chapter treating matrices enables one to find the inverse of a matrix in several ways. It discusses partitioning of matrices and briefly introduces the idea of the latent roots of a matrix. This idea is carried further in the next chapter which commences with vector sets and takes the reader through the Cayley-Hamilton Theorem.
There is good continuity throughout the text. Each chapter lays the necessary groundwork for the material to be presented in the following one. The last three chapters are quite lengthy going into considerable detail. The sixth goes into the standard material in complex function theory including the principle of analytic continuation, Laurent expansion, contour integrals, Riemann surfaces and the linear fractional transformation; and ends with two articles treating stability criteria and physical impedance functions. In the last chapter on Fourier Series and Integrals the author has included a discussion on evalutaion of inverse transforms through complex integration, and approximate evaluation through use of the saddle point method.
The authoris an engineer who has written two volumes on communication networks flint are well known in their field. Though written by an engineer from his viewpoint, dfis text deals entirely with advanced mathelnatical topics.
1)ONAI. D t3. HOIIGHI"ON