| 書目名稱 | Proofs and Fundamentals | | 副標題 | A First Course in Ab | | 編輯 | Ethan D. Bloch | | 視頻video | http://file.papertrans.cn/762/761268/761268.mp4 | | 概述 | A gentle, friendly style is used, in which motivation and informal discussion play a key role The material is presented in the way that mathematicians actually use it; good mathematical tast is prefer | | 叢書名稱 | Undergraduate Texts in Mathematics | | 圖書封面 |  | | 描述 | “Proofs and Fundamentals: A First Course in Abstract Mathematics” 2nd editionis designed as a "transition" course to introduce undergraduates to the writing of rigorous mathematical proofs, and to such fundamental mathematical ideas as sets, functions, relations, and cardinality.The text serves as a bridge between computational courses such as calculus, and more theoretical, proofs-oriented courses such as linear algebra, abstract algebra and real analysis.This 3-part work carefully balances Proofs, Fundamentals, and Extras.Part 1 presents logic and basic proof techniques; Part 2 thoroughly covers fundamental material such as sets, functions and relations; and Part 3 introduces a variety of extra topics such as groups, combinatorics and sequences.A gentle, friendly style is used, in which motivation and informal discussion play a key role, and yet high standards in rigor and in writing are never compromised. New to the second edition: 1) A new section about the foundations ofset theory has been added at the end of the chapter about sets.This section includes a very informal discussion of the Zermelo– Fraenkel Axioms for set theory.We do not make use of these axioms subsequently in | | 出版日期 | Textbook 2011Latest edition | | 關鍵詞 | Cardinality; Formal Logic; Introduction to Proofs; combinatorics | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4419-7127-2 | | isbn_softcover | 978-1-4614-2810-7 | | isbn_ebook | 978-1-4419-7127-2Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Science+Business Media, LLC 2011 |
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