This theoretical first step on the theoretical side of the subject. It is the first generation to make a proposal, and is able to provide them with a comprehensive, comprehensive and detailed proofs - sketchy proofs have been a perpetual complaint "omit 'trivial' steps" and "make not-so-obvious" it is obvious' remarks. " On the other hand, Kubrusly offers a unique collection of fully hinted problems. On the other hand, Kubrusly offers a unique collection of fully hinted problems. The author invites the readers to take part in the theory of construction. These problems, further examples and counterexamples, or auxiliary results. They are an integral classroom, which sets them apart from the traditional classroom or homework exercises.
Measure theory in the field of
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* Designed with a minimum of prerequisites (intro analysis, and for Ch 5, linear algebra)
* Includes 140 classical measure-theory problems
* Carefully crafted to present essential elements of the theory in compact form
Measurability; Measure; Integral; Integrability; Spaces L ^ p; convergence; Decomposition; Extension; Product