Foundations of Complex Analysis is aimed at giving students a good foundation of complex analysis and provides a basis for solving problems in mathematics, physics, engineering and many other sciences. Each chapter is supplemented with well-structured examples, and exercises with hints and outlines for solutions. This book can be used as a textbook for a two semester course in complex analysis, or as a supplementary text for an advanced course in function theory. This second edition has gone through a major revision of the 1995 edition. As far as possible many sections are made less dependent on other sections in order to ensure flexibility in designing a course content.

• New to the Second Edition: • Hadamard’s three circles theorem • Schwarz-Pick lemma • Poisson Integral Formula • Monodromy theorem • Hadamard product representation • Riemann mapping theorem • Picard’s little theorem The author has published over 80 research articles, research monographs, and text books including Foundations of Functional Analysis (Narosa Publishing House, India).

Preface to the Second Edition / Complex Numbers / Functions, Limit and Continuity / Analytic Functions and Power Series / Complex Integration / Conformal Mappings and Möbius Transformations / Maximum Principle, Schwarz’ Lemma, and Liouville’s Theorem / Classification of Singularities / Calculus of Residues / Evaluation of certain Integrals / Analytic Continuation / Representations for Meromorphic and Entire Functions / Mapping Theorems / Bibliography / Index of Special Notations / Hints and Solutions for Selected Exercises / Index.

Undergraduate and Teachers