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Titlebook: Mathematics in Programming; Xinyu Liu Book 2024 China Machine Press, Beijing, China 2024 Mathematical foundations of computer science.Func

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發(fā)表于 2025-3-21 19:36:09 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Mathematics in Programming
編輯Xinyu Liu
視頻videohttp://file.papertrans.cn/627/626920/626920.mp4
概述Presents the mathematics view, tools, and logic foundations of computer programming.Introduces recursion, abstract algebra, and category theory through Haskell programming language.Provides mathematic
圖書封面Titlebook: Mathematics in Programming;  Xinyu Liu Book 2024 China Machine Press, Beijing, China 2024 Mathematical foundations of computer science.Func
描述.The book presents the mathematical view and tools of computer programming with broad and friendly context. It explains the basic concepts such as recursion, computation model, types, data, and etc. The book serves as an introductory and reference guide to the engineers, students, researchers, and professionals who are interested in functional programming, type system, and computer programming languages...The book covers seven topics. Firstly, it lays out the number system based on Peano Axioms and demonstrates the isomorphic computer data structures. Then, it introduces Lambda calculus as a computing model and recursion, an important programming structure, with the Y-combinator. It next presents the basic abstract algebra, including group and fields, and provides a friendly introduction to Galois theory. After that, it uses category theory as a tool to explain several concepts in computer programming, including the type system, polymorphism, null handler, and recursive data types, then followed by an application of program optimization. In the last two chapters, the author shows how to program with the concept of infinity through stream and lazy evaluation, and then explains the n
出版日期Book 2024
關(guān)鍵詞Mathematical foundations of computer science; Functional programming; Category theory; Lambda Calculus;
版次1
doihttps://doi.org/10.1007/978-981-97-2432-1
isbn_softcover978-981-97-2431-4
isbn_ebook978-981-97-2432-1
copyrightChina Machine Press, Beijing, China 2024
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types, then followed by an application of program optimization. In the last two chapters, the author shows how to program with the concept of infinity through stream and lazy evaluation, and then explains the n978-981-97-2431-4978-981-97-2432-1
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le examples. The book also reviews several applications in the fields of condensed matter physics, the physics of porous media and liquid crystals, accelerator physics, neurophysics, social sciences, population dynamics, and computational physics..978-3-642-05954-4978-3-540-26477-4Series ISSN 0172-7389 Series E-ISSN 2198-333X
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Xinyu Liule examples. The book also reviews several applications in the fields of condensed matter physics, the physics of porous media and liquid crystals, accelerator physics, neurophysics, social sciences, population dynamics, and computational physics..978-3-642-05954-4978-3-540-26477-4Series ISSN 0172-7389 Series E-ISSN 2198-333X
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of equilibrium and stability of the system as well as equations governing the microdamage accumulation process. Applicatiors of the theory to high-cycle, low-cycle, and corrosion fatigue are given as well as to the cracks growth in visco-elastic media under long-acting quasistationary loading. Refer
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Symmetry,ric, left and right of bilateral halves against the sagittal plane. The . by Leonardo da Vinci describes the symmetry of a human body. Butterfly, fish, and birds represent the symmetry in biology. People created symmetric artifacts, arts, and buildings in civilization. The ancient clay jars were rot
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