Proofs are often sketched or omitted. For example, the proof of Cauchy’s theorem is given for a rectangular contour (Goursat’s lemma), but the general version is stated without proof. If you want deep theoretical understanding or plan to study graduate-level complex analysis, this book is insufficient.
Here’s a helpful, detailed review of Complex Variables: Theory and Applications by H.S. Kasana (often found as a PDF). This review is aimed at students and self-learners considering using the book. complex variables theory and applications kasana pdf
It avoids overly dense mathematical jargon where a simple explanation suffices. Proofs are often sketched or omitted
Complex Variables: Theory and Applications by is a widely recognized textbook designed for science and engineering students, balancing rigorous mathematical theory with practical problem-solving techniques. Currently in its second edition, the book serves as a cornerstone for undergraduate and graduate courses, particularly for those preparing for competitive exams like CSIR-NET . Overview of the Book Here’s a helpful, detailed review of Complex Variables:
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