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Titlebook: Real Analysis: Foundations; Sergei Ovchinnikov Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to S

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發(fā)表于 2025-3-21 16:25:31 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Real Analysis: Foundations
編輯Sergei Ovchinnikov
視頻videohttp://file.papertrans.cn/823/822133/822133.mp4
概述Explores the foundations of real analysis using the framework of general ordered fields, demonstrating the multifaceted nature of the area.Illustrates the definitions and logical interrelations betwee
叢書名稱Universitext
圖書封面Titlebook: Real Analysis: Foundations; Sergei Ovchinnikov Textbook 2021 The Editor(s) (if applicable) and The Author(s), under exclusive license to S
描述.This textbook explores the foundations of real analysis using the framework of general ordered fields, demonstrating the multifaceted nature of the area. Focusing on the logical structure of real analysis, the definitions and interrelations between core concepts are illustrated with the use of numerous examples and counterexamples. Readers will learn of the equivalence between various theorems and the completeness property of the underlying ordered field. These equivalences emphasize the fundamental role of real numbers in analysis..Comprising six chapters, the book opens with a rigorous presentation of the theories of rational and real numbers in the framework of ordered fields. This is followed by an accessible exploration of standard topics of elementary real analysis, including continuous functions, differentiation, integration, and infinite series. Readers will find this text conveniently self-contained, with three appendices included after the main text, covering an overview of natural numbers and integers, Dedekind‘s construction of real numbers, historical notes, and selected topics in algebra...Real Analysis: Foundations. is ideal for students at the upper-undergraduate o
出版日期Textbook 2021
關(guān)鍵詞Real analysis ordered fields; Real analysis rational numbers; Real analysis textbook; Real analysis fou
版次1
doihttps://doi.org/10.1007/978-3-030-64701-8
isbn_softcover978-3-030-64700-1
isbn_ebook978-3-030-64701-8Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Sergei Ovchinnikovnalisation of external ecological effects. Until now, the main incentives to develop EMA have not originated in the business community itself, even though there are some interesting examples of companies implementing innovative forms of EMA. This means that there is room for additional governmental
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發(fā)表于 2025-3-22 12:01:39 | 只看該作者
Sergei Ovchinnikovnalisation of external ecological effects. Until now, the main incentives to develop EMA have not originated in the business community itself, even though there are some interesting examples of companies implementing innovative forms of EMA. This means that there is room for additional governmental
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發(fā)表于 2025-3-22 15:29:52 | 只看該作者
Sergei Ovchinnikovnalisation of external ecological effects. Until now, the main incentives to develop EMA have not originated in the business community itself, even though there are some interesting examples of companies implementing innovative forms of EMA. This means that there is room for additional governmental
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發(fā)表于 2025-3-22 18:26:45 | 只看該作者
Sergei Ovchinnikovnalisation of external ecological effects. Until now, the main incentives to develop EMA have not originated in the business community itself, even though there are some interesting examples of companies implementing innovative forms of EMA. This means that there is room for additional governmental
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發(fā)表于 2025-3-22 22:37:29 | 只看該作者
ation and management of karst coasts.Shows new application oThis book deals with recent advances in coastal marine environmental management and governance. Various chapters consider new aspects of conservation, assessment of ecosystem health status, environmental survey and protection, frameworks of
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