书目名称 | Logic, Mathematics, and Computer Science | 副标题 | Modern Foundations w | 编辑 | Yves Nievergelt | 视频video | http://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 |  | 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 | doi | https://doi.org/10.1007/978-1-4939-3223-8 | isbn_softcover | 978-1-4939-3713-4 | isbn_ebook | 978-1-4939-3223-8 | copyright | Springer Science+Business Media New York 2015 |
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