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Good math : a geek's guide to the beauty of numbers, logic, and computation / Mark C. Chu-Carroll.

O'Reilly Online Learning: Academic/Public Library Edition Available online

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Format:
Book
Author/Creator:
Chu-Carroll, Mark C., author.
Series:
Pragmatic programmers.
Pragmatic Programmers
Language:
English
Subjects (All):
Mathematics.
Logic.
Physical Description:
1 online resource (266 pages) : illustrations.
Edition:
1st edition
Other Title:
A geek's guide to the beauty of numbers, logic, and computation
Place of Publication:
Dallas, Texas ; Raleigh, North Carolina : The Pragmatic Bookself, 2013.
Language Note:
English
System Details:
text file
Summary:
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 mechanical computation. If you've ever wondered what lay beyond the proofs you struggled to complete in high school geometry, or what limits the capabilities of computer on your desk, this is the book for you.
Contents:
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.
Notes:
Bibliographic Level Mode of Issuance: Monograph
Includes bibliographical references.
Description based on print version record.
ISBN:
9781941222546
1941222544
9781680503609
168050360X
9781680503616
1680503618
9781937785338
1937785335
OCLC:
893098238

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