| 书目名称 | Introduction · to Mathematical Structures and · Proofs | | 编辑 | Larry J. Gerstein | | 视频video | | | 丛书名称 | Textbooks in Mathematical Sciences | | 图书封面 |  | | 描述 | This is a textbook for a one-term course whose goal is to ease the transition from lower-division calculus courses to upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, combinatorics, and so on. Without such a "bridge" course, most upper division instructors feel the need to start their courses with the rudiments of logic, set theory, equivalence relations, and other basic mathematical raw materials before getting on with the subject at hand. Students who are new to higher mathematics are often startled to discover that mathematics is a subject of ideas, and not just formulaic rituals, and that they are now expected to understand and create mathematical proofs. Mastery of an assortment of technical tricks may have carried the students through calculus, but it is no longer a guarantee of academic success. Students need experience in working with abstract ideas at a nontrivial level if they are to achieve the sophisticated blend of knowledge, disci pline, and creativity that we call "mathematical maturity. " I don‘t believe that "theorem-proving" can be taught any more than "question-answering" can be taught. Nevertheless, I h | | 出版日期 | Book 1996 | | 关键词 | Permutation; algebra; calculus; mathematics; number theory | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4684-6708-6 | | isbn_softcover | 978-1-4684-6710-9 | | isbn_ebook | 978-1-4684-6708-6Series ISSN 1431-9381 | | issn_series | 1431-9381 | | copyright | Springer Science+Business Media New York 1996 |
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发表于 2025-3-21 19:58:34
