A comprehensive collection of lectures from the American Mathematical Society’s Cambridge Colloquium, 1916, Part I focuses on functionals and their applications, including integral equations.
The volume presents Griffith C. Evans’s talks in a format designed to be accessible to a broad audience while offering depth for advanced readers.
Inside you’ll find a careful exploration of functionals on plane curves and in space, variational methods, and the propagation of these ideas into complex and implicit functional equations. The work balances introductory material with developments that point toward current research in integral equations and related topics, making it a valuable reference for both study and scholarship.
- Foundational ideas on functionals, derivatives, and variational principles for curves and surfaces.
- Sections on complex functionals, isogeneity, and the theory of additive and non-additive functionals.
- Discussions of integral equations, Green’s theorem, and Volterra-type approaches.
- Connections to broader themes in analysis and topology, with historical context from the Colloquium’s era.
Ideal for readers with an interest in functional analysis, integral equations, and the historical development of these topics in the early 20th century.
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