书目名称 | Proofs and Fundamentals | 副标题 | A First Course in Ab | 编辑 | Ethan D. Bloch | 视频video | http://file.papertrans.cn/762/761267/761267.mp4 | 图书封面 |  | 描述 | 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 i | 出版日期 | Textbook 20031st edition | 关键词 | abstract mathematics; adopted-textbook NY; ksa; logic; proofs; algebra; cardinality; Counting; Division; Equi | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4612-2130-2 | isbn_ebook | 978-1-4612-2130-2 | copyright | Birkhäuser Boston 2003 |
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