书目名称 | Introduction to Discrete Mathematics via Logic and Proof | 编辑 | Calvin Jongsma | 视频video | | 概述 | Emphasizes fundamentals of deductive logic to prepare students for a coherent collection of core topics in discrete mathematics.Introduces the reading and writing of proofs by using a natural deductio | 丛书名称 | Undergraduate Texts in Mathematics | 图书封面 |  | 描述 | .This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic and proof, this approach suits not only a discrete mathematics course, but can also function as a transition to proof. Its unique, deductive perspective on mathematical logic provides students with the tools to more deeply understand mathematical methodology—an approach that the author has successfully classroom tested for decades...Chapters are helpfully organized so that, as they escalate in complexity, their underlying connections are easily identifiable. Mathematical logic and proofs are first introduced before moving onto more complex topics in discrete mathematics. Some of these topics include:..Mathematical and structural induction.Set theory.Combinatorics.Functions, relations, and ordered sets.Boolean algebra and Boolean functions.Graph theory..Introduction to Discrete Mathematics via Logic and Proof. will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics. | 出版日期 | Textbook 2019 | 关键词 | Sentential logic; Propositional logic; Predicate logic; Mathematical induction; Peano arithmetic; Set the | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-25358-5 | isbn_softcover | 978-3-030-25360-8 | isbn_ebook | 978-3-030-25358-5Series ISSN 0172-6056 Series E-ISSN 2197-5604 | issn_series | 0172-6056 | copyright | Springer Nature Switzerland AG 2019 |
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