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This textbook offers a rigorous but accessible introduction to the theory of analytic functions. From the basics of complex analysis to the deep results of Riemann and Weierstrass, Morley and Harkness guide the reader through this challenging subject with clarity and precision.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it.This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Treatise On The Theory Of Functions is a book written by James Harkness in 1893. The book is a comprehensive study of the theory of functions, covering topics such as complex analysis, differential equations, and the calculus of variations. The author begins with an introduction to the fundamental concepts of functions and their properties, and then delves into more advanced topics such as the theory of analytic functions, the Cauchy-Riemann equations, and the theory of conformal mappings. The book also covers the theory of elliptic functions and their applications, as well as the theory of modular functions. The author provides numerous examples and exercises throughout the book to help readers understand the concepts and apply them to real-world problems. A Treatise On The Theory Of Functions is an essential resource for students and researchers in mathematics and engineering who are interested in the theory of functions and its applications.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.
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