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A Textbook of Complex Analysis by Prasun Kumar Nayak, Mijanur Rahaman Seikh

A Textbook of Complex Analysis

by Prasun Kumar Nayak , Mijanur Rahaman Seikh
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Book cover type: Paperback
  • ISBN13: 9789386235657
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Orient Blackswan Pvt Ltd
  • Publisher Imprint: Orient Blackswan Pvt Ltd
  • Publication Date:
  • Pages: 476
  • Original Price: INR 875.0
  • Language: English
  • Edition: N/A
  • Item Weight: 640 grams
  • BISAC Subject(s): General

This book is a comprehensive resource for students of undergraduate postgraduate courses in mathematics, physics and engineering. It makes use of numerous worked-out examples to show how the study of complex numbers and their derivatives and properties helps in solving many physical problems. Beginning with the algebraic and analytic properties of complex numbers, the reader is introduced to topological notions of sets in the complex plane, sequence and series representation of complex numbers, limit, continuity and differentiability of complex functions, and branch cut and branch points in multi-valued functions. Important theorems such as Ascoli–Arzela theorem, Montel’s theorem, Riemann mapping theorem, and the concept of Schawarz–Cristoffel transformations widely used in various fields are established. The notion of entire functions and their properties and direct and indirect analytic continuation of an analytic function, too, are covered.
The book contains an interesting range of chapter-end review exercises that will be of help to students and teachers alike. The inclusion of multiple-choice questions, in particular, will be of interest to those preparing for competitive examinations such as the NET, SET and GATE.

Salient points:

  • Many solved examples
  • Chapter-end exercises of varied kinds, including multiple-choice questions
  • Large number of interesting properties of complex differentiable functions
  • Reveals many nice results of complex analysis
  • Highlights practical applications of complex analysis in solving physical problems

Prasun Kumar Nayak, an assistant professor in the Department of Mathematics, Midnapore College, West Bengal, has more than 15 years of teaching experience. He has an MSc in Applied Mathematics from Calcutta University and a PhD from Vidyasagar University, West Bengal. He is the author of several publications, including 9 books and 42 research papers.

Mijanur Rahaman Seikh is an assistant professor in the Department of Mathematics, Kazi Nazrul University, Asansol, West Bengal. He has an MSc in Applied Mathematics from Calcutta University and a PhD from Vidyasagar University, West Bengal. He has published several research papers in national and international journals of repute.

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