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Complex Variables: Theory and Applications by H.S. Kasana
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1. Bibliographic Details
- Title: Complex Variables: Theory and Applications
- Author: H.S. Kasana
- Publisher: Pearson Education (India)
- Edition: Typically cited as the 1st Edition (2005) or subsequent reprints.
- ISBN: 978-8177589116
Heat Conduction: Solving steady-state temperature distributions. and other fields.
Undergraduate and postgraduate students in mathematics, physics, and various engineering disciplines. Core Prerequisite: A foundational understanding of elementary real analysis. 🗺️ Core Subject Matter & Structure Complex Variables: Theory and Applications by H
- Complex Numbers: Introduction to complex numbers, algebraic properties, and geometric representation.
- Functions of a Complex Variable: Basic concepts, including domains, limits, and continuity.
- Analytic Functions: Cauchy-Riemann equations, analytic functions, and harmonic functions.
- Cauchy's Integral Theorem: Statement and proof of Cauchy's integral theorem, and its applications.
- Laurent Series: Laurent series expansions, residues, and applications to integration.
- Applications: Applications of complex analysis in physics, engineering, and other fields.