Two ideas lie gleaming on the jeweler's velvet. The first is the calculus, the sec- ond, the algorithm. The calculus and the rich body of mathematical analysis to which it gave rise made modern science possible; but it has been the algorithm that has made possible the modern world. -David Berlinski, The Advent of the Algorithm First there was the concept of integers, then there were symbols for integers: I, II, III, 1111, fttt (what might be called a sticks and stones representation); I, II, III, IV, V (Roman numerals); 1, ...
Read More
Two ideas lie gleaming on the jeweler's velvet. The first is the calculus, the sec- ond, the algorithm. The calculus and the rich body of mathematical analysis to which it gave rise made modern science possible; but it has been the algorithm that has made possible the modern world. -David Berlinski, The Advent of the Algorithm First there was the concept of integers, then there were symbols for integers: I, II, III, 1111, fttt (what might be called a sticks and stones representation); I, II, III, IV, V (Roman numerals); 1, 2, 3, 4, 5 (Arabic numerals), etc. Then there were other concepts with symbols for them and algorithms (sometimes) for ma- nipulating the new symbols. Then came collections of mathematical knowledge (tables of mathematical computations, theorems of general results). Soon after algorithms came devices that provided assistancefor carryingout computations. Then mathematical knowledge was organized and structured into several related concepts (and symbols): logic, algebra, analysis, topology, algebraic geometry, number theory, combinatorics, etc. This organization and abstraction lead to new algorithms and new fields like universal algebra. But always our symbol systems reflected and influenced our thinking, our concepts, and our algorithms.
Read Less
Add this copy of Computer Algebra Handbook: Foundations · Applications · to cart. $22.02, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 2003 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 1200grams, ISBN: 9783540654667.
Add this copy of Computer Algebra Handbook: Foundations · Applications · to cart. $36.27, very good condition, Sold by Halcyon Books rated 4.0 out of 5 stars, ships from LONDON, LONDON, UNITED KINGDOM, published 2002 by Springer.
Add this copy of Computer Algebra Handbook: Foundations, Applications, to cart. $45.51, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 2003 by Springer.
Choose your shipping method in Checkout. Costs may vary based on destination.
Seller's Description:
This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. Clean from markings. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 1200grams, ISBN: 9783540654667.
Add this copy of Computer Algebra Handbook to cart. $59.65, new condition, Sold by Media Smart rated 4.0 out of 5 stars, ships from Hawthorne, CA, UNITED STATES, published 2002 by Springer.
