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Introduction to Complex Analysis and the Laplace Transform
Introduction to Complex Analysis and the Laplace Transform
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- More about Introduction to Complex Analysis and the Laplace Transform
The textbook aims to provide a comprehensive exposition of the fundamentals of the theory of functions of a complex variable, preparing students for various applications in physics and engineering. It includes detailed solutions of typical problems and the Laplace transform, which are closely related. Complex numbers lend clarity and completion to classical analysis and have important applications in mathematical theory and mathematical descriptions of processes in physics and engineering.
\n Format: Hardback
\n Length: 384 pages
\n Publication date: 21 December 2021
\n Publisher: Taylor & Francis Ltd
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This comprehensive textbook serves as a thorough introduction to the fundamentals of the theory of functions of a complex variable, aimed at preparing students for a wide range of applications. It delves into several significant applications in physics and engineering, providing a comprehensive understanding of the subject matter.
The book assumes no prior knowledge of complex numbers and presents all theorems with proofs. It can be utilized in one-semester or two-semester courses, making it suitable for both self-study and classroom instruction.
One notable aspect of this textbook is its extensive coverage of detailed solutions to typical problems. This, coupled with a variety of problems, makes it an invaluable resource for both self-study and as a teaching tool. Additionally, the book includes the Laplace transform, which is closely related to complex analysis. Concepts from complex analysis are essential in formulating and proving fundamental theorems in Laplace transforms, such as the inverse Laplace transform formula.
Methods of complex analysis provide valuable tools for solving problems involving Laplace transforms. Complex numbers also play a crucial role in enhancing the clarity and completeness of certain areas of classical analysis. These numbers have found significant applications not only in mathematical theory but also in the mathematical descriptions of processes in physics and engineering.
In conclusion, this textbook offers a comprehensive and rigorous exploration of the theory of functions of a complex variable, providing students with the necessary tools to excel in various applications. Its extensive coverage, detailed solutions, and inclusion of the Laplace transform make it an invaluable resource for both self-study and classroom instruction.
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Dimension: 229 x 152 (mm)\n
ISBN-13: 9780367409784\n \n
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