A Mathematics Sampler: Topics for the Liberal ArtsRowman & Littlefield Publishers, 10 Ιαν 2001 - 664 σελίδες Now in its fifth edition, A Mathematics Sampler presents mathematics as both science and art, focusing on the historical role of mathematics in our culture. It uses selected topics from modern mathematics—including computers, perfect numbers, and four-dimensional geometry—to exemplify the distinctive features of mathematics as an intellectual endeavor, a problem-solving tool, and a way of thinking about the rapidly changing world in which we live. A Mathematics Sampler also includes unique LINK sections throughout the book, each of which connects mathematical concepts with areas of interest throughout the humanities. The original course on which this text is based was cited as an innovative approach to liberal arts mathematics in Lynne Cheney's report, "50 HOURS: A Core Curriculum for College Students", published by the National Endowment for the Humanities. |
Περιεχόμενα
| 1 | |
| 19 | |
GEOMETRIES | 67 |
PROBABILITY AND STATISTICS | 129 |
CANTORS THEORY OF SETS | 233 |
FINITE GROUPS | 284 |
FOURDIMENSIONAL GEOMETRY | 341 |
GRAPH THEORY | 407 |
COMPUTER ALGORITHMS | 455 |
BASIC LOGIC | 525 |
A BRIEF HISTORY OF MATHEMATICS | 545 |
LITERACY IN THE LANGUAGE OF MATHEMATICS | 591 |
Answers to Most Oddnumbered Exercises | A-1 |
| A-31 | |
Άλλες εκδόσεις - Προβολή όλων
A Mathematics Sampler: Topics for the Liberal Arts William P. Berlinghoff,Kerry E. Grant,Dale Skrien Περιορισμένη προεπισκόπηση - 2001 |
Συχνά εμφανιζόμενοι όροι και φράσεις
1-1 correspondence 4-space algebra algorithm axiom system bers called cardinal number century chapter cities construct contains coordinate cosets cross section crossing curve cube data set decimal defined definition described digits divisors edge path equal Euclid's Euclidean Euclidean geometry exactly example false Figure five-number summary formula geometry given graph theory Hamilton graph hypersphere idea identity element integers Lagrange's Theorem length line segment logical mathematicians mathematics mean Mersenne primes natural numbers notation NP-complete number of elements odd numbers operation ordered pair outcomes parallel Parallel Postulate pattern perfect numbers plane possible Postulate prime factorization probability problem proof Proposition prove radius rational numbers represent sample space Selection Sort set-builder notation shortest tour solution solve square statement steps subgroup subset Table taxicab tesseract Theorem tion Traveling Salesman Problem triangle true vertex path vertices WRITING EXERCISES