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Complex

Variables with Applications

By S. Ponnusamy, Herb Silverman,

*

Publisher: Birkhäuser Boston

* Number Of Pages: 513

* Publication Date:

2006-09-13

* ISBN / ASIN: 0817644571

Book De******ion:

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. Examined 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, using geometry to illustrate

analytic concepts and employing analysis to unravel geometric

notions.

The 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. This focus involves a careful examination of the methods

and assumptions underlying various alternative routes that lead to the same

destination.

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 **** for an undergraduate course in

complex variables designed for scientists and engineers or for mathematics

majors interested in further pursuing the general theory of complex analysis.

The only prerequistite is a basic knowledge of advanced calculus. The

presentation is also ideally suited for self-study

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