AN INTRODUCTION TO COMPLEX ANALYSIS

New York: Halsted Press -- John Wiley & Sons, 1974. Blue Boards. Near Fine/Very Good. 8 3/4" Tall. The elementary part of complex analysis may be described as those concepts which are necessary to comprehend, prove, and apply the residue theorem. As such it comprises Cauchy's theorem and the integral formulae for regular functions, power series developments, classification of singularities, the topological index or winding number and the residue theorem together with its consequent theorems such as that of Rouche. The aim of this book is to give an account of these topics which is both concise and mathematicaally complete -- that is, the results are both rigorously established and independent of those topological difficulties that are described in an appendix." [Preface, 1974] The Chapter headings are: Basic properties of sets and functions in the complex plane; Cauchy's theorem; Local properties of regular functions; Zeros and singularities of regular functions; The residue theorem; and Harmonic functions and the Dirachlet problem. 141 (+ viii) pages, with 3 Appendixes, Bibliography, Index, and Index of Notations. Excepting a small paper blemish on the front endpaper, dustjacket, boards and text are clean and near new.