H.S. Kasana's textbook offers a balanced, rigorous path from basic complex algebra through complex integration up to advanced conformal mappings.
The book's authority is bolstered by its author's impressive credentials. At the time of writing, Prof. Kasana was a Professor and Head of the Department of Mathematics and Computer Applications at the Thapar Institute of Engineering and Technology in Patiala, India. His international reputation is demonstrated by his tenure as a 'Visiting Fellow' at Uppsala University, Sweden, and as a 'Visiting Professor' at the Mathematisches Forschungs Institut in Oberwolfach, Germany. He was also nominated as a 'Senior Associate' by UNESCO through the International Centre for Theoretical Physics, Italy. Having authored over a hundred research papers and guided numerous Ph.D. scholars, Prof. Kasana brings a wealth of expertise and pedagogical insight to the text.
The book you're referring to is likely "Complex Variables: Theory and Applications" by H.S. Kasana. This textbook provides a comprehensive introduction to the theory and applications of complex variables.
The author explains fundamental concepts and techniques with precision, introducing students to complex variable theory through a conceptual development of analysis.This approach enables learners to develop a thorough understanding of the topics discussed, bridging the gap between abstract mathematics and its practical utility. At the time of writing, Prof
First published by PHI Learning, Complex Variables: Theory and Applications has become a cornerstone resource for students and professionals. The driving philosophy behind the text is to provide a "perfect balanced coverage of mathematical theory and applied topics," making it a powerful and practical tool for learning.
Complex Variables: Theory and Applications is tailored to meet the needs of a one-semester or one-year introductory course. , a distinguished professor with experience at the Thapar Institute of Engineering and Technology and the International Centre for Theoretical Physics, presents the material in a structured, pedagogical manner.
This public link is valid for 7 days and shares a thread, including any personal information you added. This link or copies made by others cannot be deleted. If you share with third parties, their policies apply. Can’t copy the link right now. Try again later. He was also nominated as a 'Senior Associate'
: Integrates visual aids and geometric results to make the analysis more accessible. Modern Proofs
This remarkable formula proves that the values of an analytic function inside a boundary are completely determined by its values on the boundary. 3. Power Series, Laurent Series, and Singularities
Complex Variables: Theory and Applications by H.S. Kasana – A Comprehensive Review their policies apply.
: Covers the extension of real numbers to the complex system, polar/exponential forms, and point-set topology of the complex plane. Analyticity and Functions : Defines analytic functions using the Cauchy-Riemann Equations
Every theoretical concept is immediately followed by step-by-step solved problems that demonstrate practical execution.