Product Description: This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis...read more

Product Description: Harness the power of mathematics in school and your future career with A MATHEMATICAL VIEW OF OUR WORLD. This liberal arts textbook helps you see the beauty and power of mathematics as it is applied to the world around you. You will recognize the connections, patterns, and significance of the mathematics you study, and see that mathematics has a meaningful place in your life...read more

Product Description: 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 expanded and updated 2nd ed. will be published out of Boston in Birkhäuser Adavaned Texts series...read more (view table of contents, read Amazon.com's description)

Product Description: The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis...read more (view table of contents, read Amazon.com's description)

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Product Description: For undergraduate courses in Liberal Arts Mathematics.This contemporary approach to liberal arts math is especially helpful to instructors who want to break away from traditional instruction and move towards a more "modern" course that stresses rich ideas and more visualization with less review...read more

Product Description: Traditionally, analysis on Euclidean space is based on the study of the classical groups that act on the space. The classical treatises focus on rotations, dilations, and especially translations; all of these tools and techniques have shaped the way in which classical analysis on Euclidean space has developed...read more