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Titlebook: Discrete Mathematics; Jean Gallier Textbook 2011 Springer Science+Business Media, LLC 2011 combinatorics.graphs.logic.proofs.public key cr

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發(fā)表于 2025-3-21 19:32:59 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Discrete Mathematics
編輯Jean Gallier
視頻videohttp://file.papertrans.cn/282/281141/281141.mp4
概述Summarizing the rules of mathematical reasoning and how to construct proofs.Presents examples of formal and informal proofs.Includes examples of proofs by induction.Discusses public key cryptography,
叢書名稱Universitext
圖書封面Titlebook: Discrete Mathematics;  Jean Gallier Textbook 2011 Springer Science+Business Media, LLC 2011 combinatorics.graphs.logic.proofs.public key cr
描述This books gives an introduction to discrete mathematics for beginning undergraduates. One of original features of this book is that it begins with a presentation of the rules of logic as used in mathematics. Many examples of formal and informal proofs are given. With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book is more standard. It deals with functions and relations, directed and undirected graphs, and an introduction to combinatorics. There is a section on public key cryptography and RSA, with complete proofs of Fermat‘s little theorem and the correctness of the RSA scheme, as well as explicit algorithms to perform modular arithmetic. The last chapter provides more graph theory. Eulerian and Hamiltonian cycles are discussed. Then, we study flows and tensions and state and prove the max flow min-cut theorem. We also discuss matchings, covering, bipartite graphs.
出版日期Textbook 2011
關(guān)鍵詞combinatorics; graphs; logic; proofs; public key cryptography
版次1
doihttps://doi.org/10.1007/978-1-4419-8047-2
isbn_softcover978-1-4419-8046-5
isbn_ebook978-1-4419-8047-2Series ISSN 0172-5939 Series E-ISSN 2191-6675
issn_series 0172-5939
copyrightSpringer Science+Business Media, LLC 2011
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沙發(fā)
發(fā)表于 2025-3-21 22:34:43 | 只看該作者
Textbook 2011 last chapter provides more graph theory. Eulerian and Hamiltonian cycles are discussed. Then, we study flows and tensions and state and prove the max flow min-cut theorem. We also discuss matchings, covering, bipartite graphs.
板凳
發(fā)表于 2025-3-22 04:09:49 | 只看該作者
Mathematical Reasoning, Proof Principles, and Logic,
地板
發(fā)表于 2025-3-22 04:36:51 | 只看該作者
Graphs, Part I: Basic Notions, but also in sciences such as biology, linguistics, and sociology, among others. For example, relations among objects can usually be encoded by graphs. Whenever a system has a notion of state and a state transition function, graph methods may be applicable. Certain problems are naturally modeled by
5#
發(fā)表于 2025-3-22 09:23:00 | 只看該作者
Textbook 2011presentation of the rules of logic as used in mathematics. Many examples of formal and informal proofs are given. With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book is more standard. It deals with fu
6#
發(fā)表于 2025-3-22 14:27:30 | 只看該作者
0172-5939 s of proofs by induction.Discusses public key cryptography, This books gives an introduction to discrete mathematics for beginning undergraduates. One of original features of this book is that it begins with a presentation of the rules of logic as used in mathematics. Many examples of formal and inf
7#
發(fā)表于 2025-3-22 19:16:01 | 只看該作者
The Why and the Who of Family Homelessness. Whenever a system has a notion of state and a state transition function, graph methods may be applicable. Certain problems are naturally modeled by undirected graphs whereas others require directed graphs. Let us give a concrete example.
8#
發(fā)表于 2025-3-22 22:02:59 | 只看該作者
Graphs, Part I: Basic Notions,. Whenever a system has a notion of state and a state transition function, graph methods may be applicable. Certain problems are naturally modeled by undirected graphs whereas others require directed graphs. Let us give a concrete example.
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發(fā)表于 2025-3-23 01:36:33 | 只看該作者
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