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“Complex Variables and Applications | 9th Edition” by James Ward Brown and Ruel V. Churchill is a comprehensive textbook that delves into the theory and practical applications of complex variables. This edition maintains the foundational content and style of its predecessors, making it a popular choice for introductory courses in complex analysis.
The book is structured to develop the theoretical aspects of complex variables that are most prominent in practical applications. It also introduces students to the applications of residues and conformal mapping. To accommodate students with varying backgrounds in calculus, the authors provide footnotes referencing other texts that contain proofs and discussions of more advanced results.
Improvements in this edition include extended explanations of theorems, greater detail in arguments, numerous new examples, and the separation of topics into their own sections. For instance, the discussion of upper bounds of moduli of contour integrals is now entirely in one section, and there is a separate section devoted to the definition of isolated singular points.
The book covers a wide range of topics, including complex numbers, analytic functions, elementary functions, integrals, series, residues and poles, applications of residues, mapping by elementary functions, conformal mapping, applications of conformal mapping, the Schwarz-Christoffel transformation, and integral formulas of the Poisson type.
This edition is published by McGraw Hill India and is available in English. It is suitable for students and professionals seeking a thorough understanding of complex variables and their applications.
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James Ward Brown was an American mathematician and educator, best known for his contributions to complex analysis and his co-authorship of the widely used textbook "Complex Variables and Applications." He earned his A.B. in physics from Harvard University, followed by A.M. and Ph.D. degrees in mathematics from the University of Michigan, Ann Arbor. During his doctoral studies, he was an Institute of Science and Technology Predoctoral Fellow. Brown served as a professor at the University of Michigan–Dearborn, where he was recognized with a Distinguished Faculty Award from the Michigan Association of Governing Boards of Colleges and Universities. His publications include "Fourier Series and Boundary Value Problems," co-authored with Ruel V. Churchill. Brown passed away on December 22, 2022, in Saline, Michigan.
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“Complex Variables and Applications | 9th Edition” by James Ward Brown and Ruel V. Churchill is a comprehensive textbook that delves into the theory and practical applications of complex variables. This edition maintains the foundational content and style of its predecessors, making it a popular choice for introductory courses in complex analysis.
The book is structured to develop the theoretical aspects of complex variables that are most prominent in practical applications. It also introduces students to the applications of residues and conformal mapping. To accommodate students with varying backgrounds in calculus, the authors provide footnotes referencing other texts that contain proofs and discussions of more advanced results.
Improvements in this edition include extended explanations of theorems, greater detail in arguments, numerous new examples, and the separation of topics into their own sections. For instance, the discussion of upper bounds of moduli of contour integrals is now entirely in one section, and there is a separate section devoted to the definition of isolated singular points.
The book covers a wide range of topics, including complex numbers, analytic functions, elementary functions, integrals, series, residues and poles, applications of residues, mapping by elementary functions, conformal mapping, applications of conformal mapping, the Schwarz-Christoffel transformation, and integral formulas of the Poisson type.
This edition is published by McGraw Hill India and is available in English. It is suitable for students and professionals seeking a thorough understanding of complex variables and their applications.
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