Real Analysis : Theory of Measure and Integration, 3/e (Paperback)
J Yeh
- 出版商: World Scientific Pub
- 出版日期: 2014-08-11
- 售價: $3,540
- 貴賓價: 9.5 折 $3,363
- 語言: 英文
- 頁數: 840
- 裝訂: Paperback
- ISBN: 9814578541
- ISBN-13: 9789814578547
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相關主題
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和積分理論論述。在一般測度空間的設定下,每個概念都被精確地定義,每個定理都以清晰完整的證明和相關細節呈現。提供反例以顯示定理假設中的某些條件不能簡單地省略。證明中明確指出了定理對先前定理的依賴,不僅有助於閱讀,還能勾勒出理論的結構。精確和清晰的呈現使得這本書成為研究生實分析課程的理想教材,同時豐富的主題也使得這本書成為數學家的寶貴參考資料。
這本書對統計學和電氣工程的研究生也非常有幫助,這兩個學科都應用了測度理論。
讀者群:數學家和分析與微分方程的研究生。