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Basic Analysis IV: Measure Theory and Integration introduces students to concepts from measure theory and continues their training in the abstract way of looking at the world. This text generalizes the notion of integration to a very abstract setting in a variety of ways.
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Basic Analysis III: Mappings on Infinite Dimensional Spaces is intended as a first course in abstract linear analysis. This textbook cover... Læs mere
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This book introduces graduate students in mathematics with concepts from topology and functional analysis, both linear and nonlinear. It is the fifth... Læs mere
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Basic Analysis II: A Modern Calculus in Many Variables focuses on differentiation in Rn and important concepts about mappings from Rn to Rm, such as the inverse and implicit function theorem and change of variable formulae for multidimensional integration.
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Basic Analysis I: Functions of a Real Variable is designed for students who have completed the usual calculus and ODE sequence and a basic course in linear algebra. This is a critical course in the use of abstraction.