Mathematical Concepts / by Jürgen Jost
| データ種別 | 電子書籍 |
|---|---|
| 版 | 1st ed. 2015. |
| 出版者 | Cham : Springer International Publishing : Imprint: Springer |
| 出版年 | 2015 |
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| 書誌ID | OB01016736 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | Overview and perspective -- Foundations -- Relations -- Spaces -- What is space? -- Spaces of relations -- Structures -- Categories -- Topoi -- A review of examples. License restrictions may limit access Summary: The main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: · simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure · by itself as a first introduction to abstract mathematics · together with existing textbooks, to put their results into a more general perspective · to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detailed than standard mathematical textbooks so that the reader can readily grasp the essential concepts and ideas for individual needs. It will be suitable for advanced mathematicians, postgraduate students and for scientists from other fields with some background in formal reasoning. |
| 著者標目 | *Jost, Jürgen SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Algebraic geometry LCSH:Category theory (Mathematics) LCSH:Homological algebra LCSH:Algebra LCSH:Convex geometry LCSH:Discrete geometry LCSH:Differential geometry LCSH:Biomathematics FREE:Mathematics FREE:Algebraic Geometry FREE:Category Theory, Homological Algebra FREE:General Algebraic Systems FREE:Convex and Discrete Geometry FREE:Differential Geometry FREE:Mathematical and Computational Biology |
| 分 類 | LCC:QA564-609 DC23:516.35 |
| 巻冊次 | ISBN:9783319204369 RefWorks出力（各巻） print ; ISBN:9783319204352 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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