The Mathematics of the Uncertain: A Tribute to Pedro Gil
暫譯: 不確定性的數學:致敬佩德羅·吉爾
Gil, Eduardo, Gil, Eva, Gil, Juan
- 出版商: Springer
- 出版日期: 2019-01-03
- 售價: $8,910
- 貴賓價: 9.5 折 $8,465
- 語言: 英文
- 頁數: 917
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3030088693
- ISBN-13: 9783030088699
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商品描述
This book is a tribute to Professor Pedro Gil, who created the Department of Statistics, OR and TM at the University of Oviedo, and a former President of the Spanish Society of Statistics and OR (SEIO). In more than eighty original contributions, it illustrates the extent to which Mathematics can help manage uncertainty, a factor that is inherent to real life. Today it goes without saying that, in order to model experiments and systems and to analyze related outcomes and data, it is necessary to consider formal ideas and develop scientific approaches and techniques for dealing with uncertainty. Mathematics is crucial in this endeavor, as this book demonstrates. As Professor Pedro Gil highlighted twenty years ago, there are several well-known mathematical branches for this purpose, including
- Mathematics of chance (Probability and Statistics),
- Mathematics of communication (Information Theory), and
- Mathematics of imprecision (Fuzzy Sets Theory and others).
These branches often intertwine, since different sources of uncertainty can coexist, and they are not exhaustive. While most of the papers presented here address the three aforementioned fields, some hail from other Mathematical disciplines such as Operations Research; others, in turn, put the spotlight on real-world studies and applications. The intended audience of this book is mainly statisticians, mathematicians and computer scientists, but practitioners in these areas will certainly also find the book a very interesting read.
商品描述(中文翻譯)
這本書是獻給佩德羅·吉爾教授(Professor Pedro Gil)的致敬,他創立了奧維耶多大學的統計學、運籌學和技術管理系,並曾擔任西班牙統計學與運籌學學會(SEIO)的會長。在超過八十篇原創貢獻中,本書展示了數學在管理不確定性方面的幫助程度,而不確定性是現實生活中固有的因素。如今,毫無疑問,為了對實驗和系統進行建模,並分析相關的結果和數據,必須考慮正式的概念,並發展科學的方法和技術來應對不確定性。本書證明了數學在這一努力中的關鍵作用。正如佩德羅·吉爾教授二十年前所強調的,為此目的有幾個著名的數學分支,包括:
- 機率與統計的數學(Mathematics of chance),
- 通信的數學(Mathematics of communication),
- 不精確性的數學(Mathematics of imprecision)。
這些分支通常相互交織,因為不同來源的不確定性可以共存,且它們並不全面。雖然這裡大多數論文都涉及上述三個領域,但也有一些來自其他數學學科,如運籌學;另一些則聚焦於現實世界的研究和應用。本書的主要讀者是統計學家、數學家和計算機科學家,但這些領域的從業者無疑也會發現本書非常有趣。