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تجزیه و تحلیل اساسی IV: نظریه اندازه و ادغام

Basic Analysis IV: Measure Theory and Integration | James K. Peterson | ISBN: 1138055115, 978-1138055117, B08FF4BK4R

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کتاب های مرتبط

سال انتشار: 2020

تعداد صفحات: 501

زبان فایل: انگلیسی

فرمت فایل: pdf

حجم فایل: 19MB

ناشر: Chapman and Hall/CRC

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 is a most important skill to have when your life's work will involve quantitative modeling to gain insight into the real world. This text generalizes the notion of integration to a very abstract setting in a variety of ways. We generalize the notion of the length of an interval to the measure of a set and learn how to construct the usual ideas from integration using measures. We discuss carefully the many notions of convergence that measure theory provides.

Features

• Can be used as a traditional textbook as well as for self-study

• Suitable for advanced students in mathematics and associated disciplines

• Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions