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Proofs and Fundamentals : A First Course in Abstract Mathematics / by Ethan D. Bloch
版 | 1st ed. 2003. |
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出版者 | Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser |
出版年 | 2003 |
本文言語 | 英語 |
大きさ | XXI, 424 p : online resource |
著者標目 | *Bloch, Ethan D author SpringerLink (Online service) |
件 名 | LCSH:Mathematical logic LCSH:Mathematics FREE:Mathematical Logic and Foundations FREE:Mathematics |
一般注記 | I PROOFS -- 1 Informal Logic -- 2 Strategies for Proofs -- II Fundamentals -- 3 Sets -- 4 Functions -- 5 Relations -- 6 Infinite and Finite Sets -- III Extras -- 7 Selected Topics -- 8 Number Systems -- 9 Explorations -- Appendix: Properties of Numbers -- Hints for Selected Exercises -- References In an effort to make advanced mathematics accessible to a wide variety of students, and to give even the most mathematically inclined students a solid basis upon which to build their continuing study of mathematics, there has been a tendency in recent years to introduce students to the for mulation and writing of rigorous mathematical proofs, and to teach topics such as sets, functions, relations and countability, in a "transition" course, rather than in traditional courses such as linear algebra. A transition course functions as a bridge between computational courses such as Calculus, and more theoretical courses such as linear algebra and abstract algebra. This text contains core topics that I believe any transition course should cover, as well as some optional material intended to give the instructor some flexibility in designing a course. The presentation is straightforward and focuses on the essentials, without being too elementary, too exces sively pedagogical, and too full to distractions. Some of features of this text are the following: (1) Symbolic logic and the use of logical notation are kept to a minimum. We discuss only what is absolutely necessary - as is the case in most advanced mathematics courses that are not focused on logic per se HTTP:URL=https://doi.org/10.1007/978-1-4612-2130-2 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9781461221302 |
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EB00227306 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA8.9-10.3 DC23:511.3 |
書誌ID | 4000105459 |
ISBN | 9781461221302 |
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※2017年9月4日以降