| 000 | 03569nam a22005055i 4500 | ||
|---|---|---|---|
| 001 | 978-981-97-2432-1 | ||
| 003 | DE-He213 | ||
| 005 | 20251030112623.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240711s2024 si | s |||| 0|eng d | ||
| 020 |
_a9789819724321 _9978-981-97-2432-1 |
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| 024 | 7 |
_a10.1007/978-981-97-2432-1 _2doi |
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| 050 | 4 | _aQA75.5-76.95 | |
| 072 | 7 |
_aUYA _2bicssc |
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| 072 | 7 |
_aCOM014000 _2bisacsh |
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| 072 | 7 |
_aUYA _2thema |
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| 100 | 1 |
_aLiu, Xinyu. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _980363 |
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| 245 | 1 | 0 |
_aMathematics in Programming _h[electronic resource] / _cby Xinyu Liu. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aSingapore : _bSpringer Nature Singapore : _bImprint: Springer, _c2024. |
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| 300 |
_aXII, 383 p. 197 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 505 | 0 | _aChapter 1 Numbers -- Chapter 2 Recursion -- Chapter 3 Symmetry -- Chapter 4 Category -- Chapter 5 Fusion -- Chapter 6 Infinity -- Chapter 7 Paradox. | |
| 520 | _aThe 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 naïve set theory and transfinite numbers, from which the logic paradox arises. Finally, it introduces four historical views of mathematical foundation, as well as Gödel’s incompleteness theorems developed in 1930s, and how they define the boundaries of computer programming. Additionally, the book provides biographies, stories, and anecdotes of 25 mathematicians, along with over 130 exercises and their corresponding answers. | ||
| 650 | 0 |
_aComputer science. _958552 |
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| 650 | 0 |
_aComputer science _xMathematics. _964041 |
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| 650 | 0 |
_aMathematics. _965523 |
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| 650 | 1 | 4 |
_aComputer Science Logic and Foundations of Programming. _968173 |
| 650 | 2 | 4 |
_aMathematical Applications in Computer Science. _965518 |
| 650 | 2 | 4 |
_aMathematics in Popular Science. _975252 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9789819724314 |
| 776 | 0 | 8 |
_iPrinted edition: _z9789819724338 |
| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-981-97-2432-1 |
| 912 | _aZDB-2-SCS | ||
| 912 | _aZDB-2-SXCS | ||
| 999 |
_c61505 _d61505 |
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