Real Analysis : Theory of Measure and Integration, 3/e (Paperback)
暫譯: 實變分析:測度與積分理論(第三版,平裝本)

J Yeh

  • 出版商: World Scientific Pub
  • 出版日期: 2014-06-22
  • 售價: $3,540
  • 貴賓價: 9.5$3,363
  • 語言: 英文
  • 頁數: 840
  • 裝訂: Paperback
  • ISBN: 9814578541
  • ISBN-13: 9789814578547
  • 立即出貨 (庫存=1)

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商品描述

This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem on earlier theorems is explicitly indicated in the proof, not only to facilitate reading but also to delineate the structure of the theory. The precision and clarity of presentation make the book an ideal textbook for a graduate course in real analysis while the wealth of topics treated also make the book a valuable reference work for mathematicians.

The book is also very helpful to graduate students in statistics and electrical engineering, two disciplines that apply measure theory.

Readership: Mathematicians and graduate students in analysis & differential equations.

商品描述(中文翻譯)

這本書提供了一個統一的測度與積分理論的論述。在一般測度空間的背景下,每個概念都被精確定義,每個定理都以清晰且完整的證明呈現,並包含所有相關細節。提供反例以顯示某些條件在定理的假設中不能簡單省略。定理對於早期定理的依賴在證明中明確指出,不僅有助於閱讀,也有助於勾勒理論的結構。精確和清晰的呈現使這本書成為實分析研究生課程的理想教科書,而所涵蓋的豐富主題也使這本書成為數學家寶貴的參考資料。

這本書對於統計學和電機工程的研究生也非常有幫助,這兩個學科都應用測度理論。

讀者對象:數學家及分析與微分方程的研究生。