Handbook of Conformal Mapping with Computer-Aided Visualization

This book is a guide on conformal mappings, their applications in physics

and technology, and their computer-aided visualization. Conformal mapping

(CM) is a classical part of complex analysis having numerous applications to

mathematical physics. This modern handbook on CM includes recent results

such as the classification of all triangles and quadrangles that can be

mapped by elementary functions, mappings realized by elliptic integrals and

Jacobian elliptic functions, and mappings of doubly connected domains. This

handbook considers a wide array of applications, among which are the

construction of a Green function for various boundary-value problems,

streaming around airfoils, the impact of a cylinder on the surface of a

liquid, and filtration under a dam.

 

With more than 160 domains included in the catalog of mapping, Handbook of

Conformal Mapping with Computer-Aided Visualization is more complete and

useful than any previous volume covering this important topic. The authors

have developed an interactive ready-to-use software program for constructing

conformal mappings and visualizing plane harmonic vector fields. The book

includes a 5.25" floppy disk for IBM-compatible computers that contains the

CONFORM program.

 

This book is addressed to students in applied mathematics studying complex

analysis and its applications, and to specialists using CM for calculations

of potential vector fields in science and engineering disciplines; also

researchers, engineers, undergraduates, and postgraduates involved with

aerodynamics, hydromechanics, hydraulics, elasticity, heat engineering,

radioelectronics, and electron optics.

384 pages,1994

Features

• Unique representations of the results assisted by computer examples.
• Method for the computer visualization of potential vector fields, developed and applied by the authors.
• Includes 5.25" computer disk of CONFORM, an original program in Windows[registration mark] that contains all mappings in the book and helps the reader visualize new ones.