This book has been meticulously designed in alignment with the Undergraduate Curriculum ensuring it meets the academic requirements of students pursuing undergraduate mathematics and related disciplines. With a perfect balance of theoretical rigor and practical insights, this text serves as a self-sufficient guide for mastering the subject of Complex Analysis.
Keeping in mind the need to engage students, the book presents clear and lucid explanations of concepts, supported by detailed proofs and illustrative examples. It provides a seamless progression from fundamental topics like complex numbers, mappings, and transformations to advanced concepts such as complex integration, conformal mappings, series expansions, singularities, and residues.
A distinctive feature of this book is Chapter 9, “Bridging Theory and Practice: Computational and Visual Analysis,” which introduces hands-on Mathematica-based practicals that enable learners to visualize, simulate, and verify complex analysis concepts through computational experimentation.
This book is especially designed to aid students of B.Sc. (Hons.) Mathematics, B.Tech., and other multidisciplinary courses while also serving as a valuable resource for competitive examinations. Whether you are a student, educator, or mathematics enthusiast, this book offers an engaging and comprehensive journey into the world of Complex Analysis, fostering both academic success and a deeper appreciation for the subject.
Salient Features
- Comprehensive Textbook: Covers theoretical and practical aspects of complex analysis.
- Lucid and Simple Language: Makes complex concepts easily understandable.
- Systematic Approach: Presents topics like analytic functions, integration, and mappings in a structured manner.
- Rich Problem Sets: Includes solved examples and exercises for practice and self-assessment.
- Application-Focused: Highlights real-world uses in physics, engineering, and applied sciences.
- Self-Study Friendly: Equipped with step-by-step explanations and key insights for independent learning.
- Before We Dive In : Core Concepts in Real Numbers
- From Real to Complex: Exploring the ComplexNumbers System
- Exploring the Complex Landscape: Functions,Mappings and Curves
- Analytic Functions: A Journey Beyond Derivatives
- Exploring Fundamental Functions: A Journey intoComplex Mappings
- Mastering Complex Integration: Pathways, Contours,and Theorems
- The World of Series and Singularities
- Conformal Mapping: A Geometric Perspective fromLocal Behavior to Global Transformations
- Bridging Theory and Practice: Computational andVisual Analysis
Bibliography
Index
ISBN13:
978-93-49290-81-5
Weight:
0.00
Edition:
1st Edition
Language:
English
Title Code:
1305