Complex Variables: A Physical Approach with Applications

This book provides an accessible introduction to complex analysis, a fundamental topic in modern analytical thinking that is used in various fields such as engineering, physics, and mathematics. It emphasizes the concrete nature of complex numbers and their applications, with a large number of examples and figures to aid in understanding. Partial differential equations are used as a unifying theme throughout the book.

Format: Paperback / softback
Length: 378 pages
Publication date: 21 January 2023
Publisher: Taylor & Francis Ltd

The concept of complex numbers has a rich historical heritage, dating back at least 300 years to the pioneering work of mathematicians such as Gauss and Euler. In contemporary times, complex analysis has emerged as a fundamental component of modern analytical thinking, permeating diverse fields such as engineering, physics, mathematics, astrophysics, and numerous others. Its application provides robust tools for conducting mathematical analysis, often yielding delightful and unexpected insights.

This book aims to democratize the study of complex analysis, making it accessible to a wide range of readers. The complex numbers, often perceived as enigmatic entities, possess a tangible nature and profound applications. It is crucial for students to recognize that this is a concrete set of objects with real-world significance.

Key Features:

Substantial Rewrite: This new edition of the book undergoes a comprehensive rewrite, prioritizing accessibility, applied aspects, and visual representation of complex analysis.

Extensive Examples and Figures: The book is packed with an abundance of examples and visually appealing figures, aiding in comprehension and understanding of the subject matter.

Natural Outgrowth of Calculus: Complex analysis is presented as a natural extension of calculus, rather than introducing a new language or way of thinking. It builds upon the foundational concepts of mathematics.

Incisive Applications: Throughout the book, incisive applications of complex analysis are showcased, illustrating its practical relevance in various fields.

Partial Differential Equations as a Unifying Theme: Partial differential equations serve as a unifying thread throughout the book, providing a coherent framework for understanding complex phenomena.

In conclusion, this book offers a comprehensive and accessible introduction to complex analysis, empowering readers to explore the fascinating world of complex numbers and their applications in diverse scientific and engineering disciplines.

Weight: 700g
Dimension: 254 x 178 (mm)
ISBN-13: 9781032475691
Edition number: 2 ed