"A particularly nice feature of this textbook is that throughout, the authors have sprinkled citations of expository pieces taken from the Monthly as well as from Mathematics Magazine, the Intelligencer, and even the Proceedings of the AMS. This is a great source for both students as well as their teachers. The book also is an excellent source of problems, close to 300 in total." Mathematical Association of America "Parts of the new material in the last chapters appear here for the first time in a textbook, making this second edition even rather topical and particularly up-to-date. Each chapter contains many illustrating concrete examples and a large number of related exercises, most of which invite the ambitious reader to complement the material discussed in the text. Now as before, this unusual textbook in complex analysis has maintained its unique character, and the new material added in the second edition makes it even more special, interesting and valuable for further generations of students and teachers." Zentralblatt MATH Review of the First Edition: "… covers an unusually large amount of material in a relatively few pages, and does so in a way that provides an excellent survey of the results and techniques of function theory … the presentation often provides excellent insights into the subject." Mathematical Reviews This volume is an enlarged edition of a classic textbook on complex analysis. In addition to the classical material of the first edition it provides a concise and accessible treatment of Loewner theory, both in the disc and in the half-plane. Some of the new material has been described in research papers only or appears here for the first time. Each chapter ends with exercises.
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Dr. Murali Rao is the Professor and Chairman of the Department of Psychiatry and Behavioral Neurosciences at Loyola University Medical Center in Chicago. He specializes in liaison and emergency psychiatry. Additionally, he serves as a member of multiple professional bodies including the American College of Psychiatrists, the Academy of Psychosomatic Medicine, CINP, the Indian Psychiatric Society, and the American College of forensic Psychiatry. Dr. Rao has received multiple awards and fellowships including Distinguished Life Fellow by the APA, Outstanding Academician Award by the Indo-American Psychiatric Association, and the Master Teacher Award by the Stritch School of Medicine. Dr. Rao has also had more than 50 journal publications.
The volume is an enlarged edition of a classic textbook on complex analysis. It bridges the gap between the classical material of the first edition and recent advances in half-plane Loewner theory, thus providing the complex analysis backbone of Loewner theory. The new materials found in this edition give a concise and accessible treatment of Loewner theory. Some of them have been described in research papers only or appear here for the first time. Each chapter finishes with exercises.
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