Integration with Complex Numbers: A Primer on Complex Analysis

Complex analysis is a challenging undergraduate topic that requires a balance between idea, proof, and practice. Integration with Complex Numbers: A Primer on Complex Analysis offers a reader-friendly contemporary balance between idea, proof, and practice, informed by decades of classroom experience and the backgrounds, motivation, and competing time pressures of today's student cohorts. It begins where most students are likely to be and invests the time and effort to deliver accessibility and introductory gradualness.

Format: Hardback
Length: 288 pages
Publication date: 02 May 2022
Publisher: Oxford University Press

Complex analysis, a subject that spans the pure and applied realms of mathematics, presents a unique set of challenges for both instructors and students alike. With its vast scope, ranging from intricate and sophisticated proofs to direct, hands-on engineering applications, complex analysis requires a thorough understanding of its techniques. While its applications are numerous and indispensable, the mastery of a mathematical tool is perilous without a solid foundation in its underlying principles. This profound understanding can only be attained through a rigorous exploration of ideas, meticulous analysis of proofs, and extensive practice across a diverse range of exercises.

In order to address these challenges, Integration with Complex Numbers: A Primer on Complex Analysis offers a comprehensive and reader-friendly approach to complex analysis. Drawing upon several decades of classroom experience and a deep understanding of the backgrounds, motivations, and time pressures faced by today's student cohorts, this text strikes a delicate balance between idea, proof, and practice. Its primary objective is to support and sustain these cohorts by providing them with the necessary aspects of complex analysis encountered in their first and second-year studies.

To achieve this, the text carefully balances competing demands for self-containment, comprehensiveness, accessibility, and engagement. It begins where most students are likely to be, investing the time and effort required to deliver accessibility and an introductory gradualness. By presenting complex concepts in a step-by-step manner, the text ensures that students can build a solid foundation of knowledge and understanding before delving into more advanced topics.

Furthermore, Integration with Complex Numbers: A Primer on Complex Analysis incorporates a wealth of examples and exercises to reinforce the theoretical concepts and provide hands-on experience. These exercises range from straightforward problems to more challenging ones, allowing students to apply their knowledge and develop their problem-solving skills. Each exercise is accompanied by detailed explanations and hints, ensuring that students can navigate through the material with confidence and ease.

In addition to its pedagogical benefits, Integration with Complex Numbers: A Primer on Complex Analysis offers insights into the historical development of complex analysis and its applications in various fields. By tracing the evolution of the subject and exploring its connections to other branches of mathematics, the text provides students with a broader understanding of the rich tapestry of mathematical knowledge.

In conclusion, complex analysis is a subject that demands a deep understanding of its techniques and principles. Integration with Complex Numbers: A Primer on Complex Analysis provides students with the necessary tools and resources to acquire this understanding and excel in their studies. By balancing idea, proof, and practice, this text offers a comprehensive and reader-friendly approach to complex analysis, ensuring that students can develop a sound grasp of the subject and apply its principles to real-world problems.

Weight: 616g
Dimension: 240 x 160 x 20 (mm)
ISBN-13: 9780192846075