Algebra : sets, symbols, and the language of thought
Tabak, John2004
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Looks closely at algebra, its historical development, and its many useful applications, the book examines in detail the question of why this type of math was so important that it arose in different cultures at different times.
Main title:
Algebra : sets, symbols, and the language of thought / by John Tabak
Author:
Imprint:
New York Facts On File Incorporated 2004
Collation:
226.p Mode of access: World Wide Web
Series title:
Audience:
SecondaryGeneral
Contents:
Introduction: Algebra as language - The first algebras: Mesopotamia: The beginnings of algebra - Mesopotamians and second-degree equations - The Mesopotamians and indeterminate equations - Clay tablets and electronic calculators - Egyptian algebra - Chinese algebra - Rhetorical algebra - Greek algebra: The discovery of the Pythagoreans - The incommensurability of 2 - Geometric algebra - Algebra made visible - Diophantus of Alexandria - Algebra from India to Northern Africa: Brahmagupta and the new algebra - Mahavira - Bhaskara and the end of an era - Islamic mathematics - Poetry and algebra - Al-Khwarizm and a new concept of algebra - A problem and a solution - Omar Khayyam, Islamic algebra at its best - Leonardo of Pisa - Algebra as a theory of equations: The new algorithms - Algebra as a tool in science - Francois Viete, algebra as a symbolic language - Thomas Harriot - Albert Girard and the fundamental theorem of algebra - Further attempts at a proof - Using Polynomials - Algebra in geometry and analysis: Rene Descartes - Descartes on multiplication - Pierre de Fermat - Fermat’s last theorem - The new approach - The search for new structures - Niels Henrik Abel - Evariste Galois - Galois theory and the doubling of the cube - Doubling the cube with a straightedge and compass is impossible - The solution of algebraic equations - Group theory in chemistry - The Laws of Thought: Aristotle - Gottfried Leibniz - George Boole and the laws of thought - Boolean algebra - Aristotle and Boole - Refining and extending Boolean algebra - Boolean algebra and computers - The Theory of Matrices and Determinants: Early ideas - Spectral theory - The theory of matrices - Matrix multiplication - A computational application of matrix algebra - Matrices in ring theory - Chronology - Glossary - Further reading - Index.
ISBN:
9780816068753 (ebook)
Dewey class:
512 ALG
Local class:
512
Language:
English
Subject:
BRN:
62329
Electronic access:
More Information:
| Location | Collection | Call number | Status/Desc |
|---|---|---|---|
| Online | Online resource (Member logon) | 512 ALG | Not for loan (Set: 10 Feb 2016) |