Excerpt from Theory of Functions of a Complex Variable
Pembroke College, Cambridge, and now Professor of Mathematics at the Royal Naval College, Greenwich, I am under a deep debt of gratitude: he has used his great knowledge of the subject in the most generous manner, making suggestions and criticisms that have enabled me to correct errors and to improve the book in many respects. Mr H. M. Taylor, m.a., Fellow of Trinity College, Cambridge, has read the proofs with great care: the kind assist ance that he has given me in this way has proved of substantial service and usefulness in correcting the sheets. I desire to recognise most gratefully my sense of the value of the work which these gentlemen have done.
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XlL science during the last forty years, not the least remarkable are those in the theory of functions. The contributions that are still being made to it testify to its vitality :all the evidence points to the continuance of its growth. A nd, indeed, this need cause no surprise. Few subjects can boast such varied processes, based upon methods so distinct from one another as are those originated by Cauchy, by Weierstrass, and by Biemann. Each of these methods is sufficient in itself to provide a complete development; combined, they exhibit an unusual wealth of ideas and furnish unsurpassed resources in attacking new problems. It is difficult to keep pace with the rapid growth of the literature which is due to the activity of mathematicians, especially of continental mathematicians: and there is, in con sequence, sufficient reason for considering that some marshalling of the main results is at least desirable and is, perhaps, necessary. Not that there is any dearth of treatises in French and in German :but, for the most part, they either expound the pro cesses based upon some single method or they deal with the discussion of some particular branch of the theory.
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Paperback. Zustand: New. Print on Demand. This book is a detailed discussion of the theory of functions of a complex variable, based on the works of Weierstrass, Mittag-Leffler, Riemann, and others. It begins with the basic concepts of functions, their representations in terms of series and derivatives, and their properties under conformal transformations. The book then delves into uniform functions, multiform functions, Riemann surfaces, and algebraic functions, providing a thorough understanding of the connections between them. The author also explores transcendental integral functions, functions with essential singularities, and functions with unlimited essential singularities. The text includes examples and exercises throughout to illustrate the concepts and their applications. This book offers a comprehensive and rigorous treatment of the theory of functions of a complex variable, suitable for mathematics students and researchers interested in this field. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781440070334_0
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781440070334
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Paperback. Zustand: Brand New. 706 pages. 9.00x6.00x1.59 inches. This item is printed on demand. Bestandsnummer des Verkäufers zk1440070334
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