Fundamental Concepts of Mathematics Set-Theoretic, Algebraic, and Topological Foundations as well as Real and Complex Numbers /
This book provides essential foundations of mathematics, covering set theory, algebra, the theory of real and complex numbers, and topology. It serves as the basis for further exploration of mathematics. Not only are the necessary concepts introduced, but also essential – including deeper – statemen...
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| 主要な著者: | , |
|---|---|
| 団体著者: | |
| フォーマット: | 電子媒体 eBook |
| 言語: | 英語 |
| 出版事項: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2025.
|
| 版: | 1st ed. 2025. |
| シリーズ: | Mathematics Study Resources,
15 |
| 主題: | |
| オンライン･アクセス: | https://doi.org/10.1007/978-3-662-69697-2 |
| タグ: |
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| 100 | 1 | |a Storch, Uwe. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Fundamental Concepts of Mathematics |h [electronic resource] : |b Set-Theoretic, Algebraic, and Topological Foundations as well as Real and Complex Numbers / |c by Uwe Storch, Hartmut Wiebe. |
| 250 | |a 1st ed. 2025. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2025. | |
| 300 | |a 1 online resource (XII, 585 p. 129 illus.). | ||
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| 341 | 0 | |b Single logical reading order |2 onix | |
| 341 | 0 | |b Short alternative textual descriptions |2 onix | |
| 341 | 0 | |b Use of colour is Not sole means of conveying information |2 onix | |
| 341 | 0 | |b Use of high contrast between text and background colour |2 onix | |
| 341 | 0 | |b Next / Previous structural navigation |2 onix | |
| 341 | 0 | |b All Non-decorative content supports reading without sight |2 onix | |
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| 490 | 1 | |a Mathematics Study Resources, |x 2731-3832 ; |v 15 | |
| 505 | 0 | |a Foreword -- Introduction -- List of Symbols -- Fundamentals of Set Theory -- Algebraic Foundations -- Real and Complex Numbers -- Topological Foundations -- Subject Index -- Bibliography. | |
| 520 | |a This book provides essential foundations of mathematics, covering set theory, algebra, the theory of real and complex numbers, and topology. It serves as the basis for further exploration of mathematics. Not only are the necessary concepts introduced, but also essential – including deeper – statements are proven. The material is illustrated and supplemented by unusual examples and diverse exercises. The book is suitable for self-study, but primarily designed as companion reading from the beginning for a study in mathematics, physics, and computer science. Its coherent approach makes it highly readable and comparatively easy to understand. The Authors Uwe Storch and Hartmut Wiebe gained extensive experience in lecturing at the Faculty of Mathematics at the Ruhr-University Bochum, particularly for students of physics and computer science. Their mathematical research area was algebra, focusing primarily on its connections to algebraic and analytic geometry. The translation was done with the help of artificial intelligence. A subsequent human revision was done primarily in terms of content (by the author Hartmut Wiebe only, as Uwe Storch is no longer with us). This book is a translation of an original German edition. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. | ||
| 532 | 8 | |a Accessibility summary: This PDF has been created in accordance with the PDF/UA-1 standard to enhance accessibility. It includes screen reader support, descriptions for Non-text content (such as images and graphs), bookmarks for easy navigation, keyboard-friendly links and forms, and searchable, selectable text. We recognise the importance of accessibility and welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us via https://www.springernature.com/gp/info/accessibility Please Note that a more accessible version of this eBook is available as an EPUB. | |
| 532 | 8 | |a Inaccessible, or known limited accessibility | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Mathematics. | |
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| 700 | 1 | |a Wiebe, Hartmut. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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