Good math a geek's guide to the beauty of numbers, logic, and computation
Mathematics is beautiful--and it can be fun and exciting as well as practical. Good Math is your guide to some of the most intriguing topics from two thousand years of mathematics: from Egyptian fractions to Turing machines; from the real meaning of numbers to proof trees, group symmetry, and mechan...
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Dallas, Texas ; Raleigh, North Carolina :
The Pragmatic Bookself
2013.
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| Edición: | 1st edition |
| Colección: | Pragmatic programmers.
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| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009629495206719 |
Tabla de Contenidos:
- Numbers. Natural numbers
- Integers
- Real numbers
- Irrational and transcendental numbers
- Funny numbers. Zero
- e : the unnatural natural number
- [Phi] : the golden ratio
- i : the imaginary number
- Writing numbers. Roman numerals
- Egyptian fractions
- Continued fractions
- Logic. Mr. Spock is not logical
- Proofs, truth, and trees : oh my!
- Programming with logic
- Temporal reasoning
- Sets. Cantor's diagonalization : infinity isn't just infinity
- Axiomatic set theory : keep the good, dump the bad
- Models : using sets as the LEGOs of the math world
- Transfinite numbers : counting and ordering infinite sets
- Group theory : finding symmetries with sets
- Mechanical math. Finite state machines : simplicity goes far
- The turing machine
- Pathology and the heart of computing
- Calculus : no, not that calculus- [lambda] calculus
- Numbers, booleans, and recursion
- Types, types, types : modeling [lambda] calculus
- The halting problem.
