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Titlebook: Logic, Mathematics, and Computer Science; Modern Foundations w Yves Nievergelt Textbook 2015Latest edition Springer Science+Business Media

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发表于 2025-3-21 19:31:26 | 显示全部楼层 |阅读模式
书目名称Logic, Mathematics, and Computer Science
副标题Modern Foundations w
编辑Yves Nievergelt
视频videohttp://file.papertrans.cn/589/588073/588073.mp4
概述Includes applications in game theory and Nash‘s equilibrium, Gale and Shapley‘s match making algorithms, Arrow‘s Impossibility Theorem in voting.Focuses of foundations, with specific statements of all
图书封面Titlebook: Logic, Mathematics, and Computer Science; Modern Foundations w Yves Nievergelt Textbook 2015Latest edition Springer Science+Business Media
描述.This text for the first or second year undergraduate in mathematics, logic, computer science, or social sciences, introduces the reader to logic, proofs, sets, and number theory. It also serves as an excellent independent study reference and resource for instructors. Adapted from .Foundations of Logic and Mathematics: Applications to Science and Cryptography. © 2002 Birkhӓuser,. .this second edition provides a modern introduction to the foundations of logic, mathematics, and computers science, developing the theory that demonstrates construction of all mathematics and theoretical computer science from logic and set theory.  The focuses is on foundations, with specific statements of all the associated axioms and rules of logic and set theory, and  provides complete details and derivations of formal proofs. Copious references to literature that document historical development is also provided..Answers are found to many questions that usually remain unanswered: Why is the truth table for logical implication so unintuitive? Why are there no recipes to design proofs? Where do these numerous mathematical rules come from? What issues in logic, mathematics, and computer science still rema
出版日期Textbook 2015Latest edition
关键词Gale and Shapely algorithm; Math transition course textbook; Nash equilibrium; applications sets and fu
版次2
doihttps://doi.org/10.1007/978-1-4939-3223-8
isbn_softcover978-1-4939-3713-4
isbn_ebook978-1-4939-3223-8
copyrightSpringer Science+Business Media New York 2015
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发表于 2025-3-21 21:28:31 | 显示全部楼层
Yves NievergeltFoundation Professor, Orthopaedic Surgery, University of Cincinnati Adjunct Professor, Noyes Giannestras Biomechanics Laboratory, University of Cincinnati suits? The answers to these questions provide a basis for A view of the advances in knee surgery with the sheer amount of new information, proced
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ial meniscus is wider posteriorly than anteriorly and forms a half circle. The lateral meniscus is uniform in width and forms almost three-quarters of a circle. The medial meniscus is attached to the capsule, medial collateral ligament, and tibial plateau. The lateral meniscus is attached to the cap
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Set Theory: Proofs by Detachment, Contraposition, and Contradiction,first order. Starting from first-order logic and some of the Zermelo-Fraenkel axioms (extensionality, empty set, pairing, power set, separation, and union), where all objects under consideration are sets, the chapter first derives relations between sets, subsets, supersets, unions, intersections, an
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Mathematical Induction: Definitions and Proofs by Induction,heory, including the axiom of infinity, the chapter establishes the theoretical basis for proofs by the Principle of Mathematical Induction, followed by definitions through mathematical induction, which forms the basis for the concept of primitive-recursive functions. As an extended example, one sec
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Well-Formed Sets: Proofs by Transfinite Induction with Already Well-Ordered Sets,This chapter focuses on “well-formed” sets, which are defined by means restricted to the axioms of Zermelo-Fraenkel set theory from chapters 1, 2, 3, and 4. The main result states that no two well-formed sets are members of each other, and consequently that every well-formed set is . an element of itself.
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