Items related to The Applications of Elliptic Functions (Classic Reprint)

The Applications of Elliptic Functions (Classic Reprint) - Hardcover

Alfred George Green Hill

 
9780265333716: The Applications of Elliptic Functions (Classic Reprint)

Synopsis

Delve into the theory and practical uses of elliptic functions with clear, rigorous guidance.

Alfred George Green Hill’s The Applications of Elliptic Functions offers a focused study of elliptic integrals and their geometric and mechanical applications. The text presents essential results and methods that connect algebra, geometry, and analysis in a way suited to advanced study.

Readers will encounter addition theorems, Jacobi’s notation, and the role of elliptic integrals in problems involving ellipses, confocal conics, and related curves. The work also discusses notable results such as Fagnano’s theorems and the geometric interpretation of tangents and focal structures.

  • Foundations and manipulation of elliptic integrals of the first and second kind
  • Addition theorems and their geometric proofs
  • Connections between elliptic functions and confocal ellipses and hyperbolas
  • Historical and practical results for advanced geometric problems

Ideal for readers of advanced mathematics and physics seeking a rigorous treatment of elliptic functions and their applications.

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