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Complex Variables With Applications.

Complex Variables With Applications.

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  • ISBN:9780817644574
  • Editorial: Birkhaüser
  • Fecha de la edición:
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  • Dimensiones: 0 cm x 0 cm
  • Nº Pág.:484
  • Idiomas:Ingles

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Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector. Exploited properly, each perspective provides crucial insight into the interrelations between the complex number system and its parent, the real number system. The authors explore these relationships by adopting both generalization and specialization methods to move from real variables to complex variables, and vice versa, while simultaneously examining their analytic and geometric characteristics. This engaging exposition is replete with discussions, remarks, questions, and exercises, motivating not only understanding on the part of the reader, but also developing the tools needed to think critically about mathematical problems. The material includes numerous examples and applications relevant to engineering students, along with some techniques to evaluate various types of integrals. The book may serve as a text for an undergraduate course in complex variables. The only prerequistite is a basic knowledge of advanced calculus. The presentation is also ideally suited for self-study.

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