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This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential fo...
Key topics in the theory of real analytic functions are covered in this text,and are rather difficult to pry out of the mathematics literature.; This ...
This paper presents a method for explicitly computing area minimizing hypersurfaces whose boundaries lie on the surface of a convex body. The basic re...
History, Theory, and Applications
The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real ...
Journey from the Real to the Complex
Mathematics is a poem. It is a lucid, sensual, precise exposition of beautiful ideas directed to specific goals. It is worthwhile to have as broad a c...
The analysis of Euclidean space is well-developed. The classical Lie groups that act naturally on Euclidean space-the rotations, dilations, and trans ...
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Using meaningful examples, credible applications, and incisive technology, Vector Ca1culus strives to empower students, enhance their critical thinkin...