| 書目名稱 | Proofs and Fundamentals | | 副標(biāo)題 | A First Course in Ab | | 編輯 | Ethan D. Bloch | | 視頻video | http://file.papertrans.cn/762/761267/761267.mp4 | | 圖書封面 |  | | 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 | | 關(guān)鍵詞 | 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 | Birkh?user Boston 2003 |
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