About this eBook
Complex Variables covers topics ranging from complex numbers to point sets in the complex plane, elementary functions, straight lines and circles, simple and conformal transformations, and zeros and singularities. Cauchy's theorem, Taylor's theorem, Laurent's theorem, contour integration, and miscellaneous theorems are also discussed. This volume consists of 14 chapters, the first of which introduces the theory of complex numbers and their development either from an algebraic or from a geometrical viewpoint. Emphasis is on the complex plane, modulus, amplitude, number pairs, complex conjugates, the triangle inequality, De Moivre's theorem, and the four mathematical operations (addition, subtraction, multiplication, division). Attention then turns to point sets in the complex plane, infinite series and tests for convergence, functions of a complex variable, and elementary functions. The chapters that follow focus on straight lines and circles, simple and conformal transformations, and integration. Exercises are included in every section of each chapter except the last. This book is written primarily for students and teachers of mathematics.
About the author
Robert Maxwell is a satirical mastermind and storyteller who uses humor, wit, and sharp social commentary to expose the absurdities of modern life. With a background steeped in observing the chaos of the world around him, Maxwell channels his unique perspective into crafting unforgettable characters and narratives that make you laugh, think, and question everything you thought you knew. His latest work, The Floridian Candidate, is a darkly comedic and razor-sharp exploration of corruption, media manipulation, and the fraying edges of the American Dream. Maxwell's storytelling, often likened to the biting absurdity of Wag the Dog, the psychological depth of Fight Club, and the dark morality of Dexter, has been described as "1984 with a whoopee cushion." When he's not writing, Maxwell is often found delving into history, psychology, technology, or simply marveling at the strangeness of everyday life. He's passionate about creating stories that entertain and challenge readers to see the world in a new light.
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