Conformal Mapping: Methods and Applications - Paperback

Conformal Mapping: Methods and Applications - Graduate Mathematics Textbook

This comprehensive graduate-level mathematics text provides an in-depth exploration of conformal mapping techniques and their practical applications across multiple disciplines. Published by Dover Publications as part of their Mathematics Series, this revised edition serves as an essential resource for advanced students and researchers in applied mathematics, mathematical physics, and engineering.

Comprehensive Mathematical Coverage

The text begins with a foundational survey of essential mathematical concepts before advancing through specialized topics. Core content includes detailed discussions of mapping functions, numerical methods for complex analysis, and mathematical modeling techniques. The treatment extends to nonplanar fields and nonuniform media, providing readers with tools applicable to real-world engineering problems.

Applications in Electromagnetics and Engineering

Substantial sections address static fields in electricity and magnetism, transmission lines, and waveguides. These chapters bridge theoretical mathematics with practical engineering applications, making the text valuable for both pure mathematicians and applied scientists. The coverage of electromagnetic theory demonstrates how conformal mapping techniques solve complex boundary value problems in physics and electrical engineering.

Enhanced Learning Resources

This edition includes 247 figures that illustrate complex mathematical concepts and transformations, alongside 38 tables providing reference data and computational results. The extensive visual aids support understanding of abstract concepts and facilitate practical application of the techniques presented. Supplementary appendices provide additional mathematical background and reference material.

Graduate-Level Mathematical Rigor

Authored by Roland Schinzinger, this text maintains the mathematical rigor expected at the graduate level while remaining accessible to students with appropriate mathematical preparation in complex analysis. The systematic progression from fundamental concepts to advanced applications makes it suitable for structured coursework or independent study in STEM education programs.

Beginning with a brief survey of some basic mathematical concepts, this graduate-level text proceeds to discussions of a selection of mapping functions, numerical methods and mathematical models, nonplanar fields and nonuniform media, static fields in electricity and magnetism, and transmission lines and waveguides; and much more. Revision of 1991 edition. Includes 247 figures and 38 tables. Appendices.