Harmonic Functions (Classic Reprint) - Softcover

Inhaltsangabe

Explore the math behind waves, heat, and electric fields with Harmonic Functions.
This classic introduction explains how partial differential equations describe physical problems, from vibrating strings to heat flow. It focuses on Laplace’s equation and its key role in engineering and physics, using accessible examples and practical tables to connect theory with real-world problems.

Written for students with a solid math background, this edition presents the origins of harmonic analysis, the use of trigonometric series, and the extension of these ideas to zonal and spherical harmonics and Bessel functions. It also demonstrates how these tools solve concrete problems in heat conduction, vibrations, and electrostatic or magnetic fields.

• Foundational explanations of Laplace’s equation and its applications in physics and engineering


• Step-by-step treatment of Fourier series and their extensions to broader problems


• Practical problem sets and numerical tables to support real-world calculations


• Introductions to related topics like zonal harmonics and Bessel functions for deeper study

Ideal for readers seeking a solid, hands-on introduction to mathematical physics and applied analysis.

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