SØG - mellem flere end 8 millioner bøger:
Viser: Elements of Algebra - Geometry, Numbers, Equations
Elements of Algebra
Geometry, Numbers, Equations
John C. Stillwell
(1994)
Sprog: Engelsk
Springer New York
596,00 kr.
ikke på lager, Bestil nu og få den leveret
om ca. 10 hverdage
om ca. 10 hverdage
Detaljer om varen
- 3. Udgave
- Hardback: 200 sider
- Udgiver: Springer New York (August 1994)
- ISBN: 9780387942902
Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form. It is not abstraction for its own sake, but abstraction for the sake of efficiency, power and insight. Algebra emerged from the struggle to solve concrete, physical problems in geometry, and succeeded after 2000 years of failure by other forms of mathematics. It did this by exposing the mathematical structure of geometry, and by providing the tools to analyse it. This is typical of the way algebra is applied; it is the best and purest form of application because it reveals the simplest and most universal mathematical structures. The present book aims to foster a proper appreciation of algebra by showing abstraction at work on concrete problems, the classical problems of construction by straightedge and compass. These problems originated in the time of Euclid, when geometry and number theory were paramount, and were not solved until th the 19 century, with the advent of abstract algebra. As we now know, alge bra brings about a unification of geometry, number theory and indeed most branches of mathematics. This is not really surprising when one has a historical understanding of the subject, which I also hope to impart.
1. Algebra and Geometry.-
2. The Rational Numbers.-
3. Numbers in General.-
4. Polynomials.-
5. Fields.-
6. Isomorphisms.-
7. Groups.-
8. Galois Theory of Unsolvability.-
9. Galois Theory of Solvability.- References.
2. The Rational Numbers.-
3. Numbers in General.-
4. Polynomials.-
5. Fields.-
6. Isomorphisms.-
7. Groups.-
8. Galois Theory of Unsolvability.-
9. Galois Theory of Solvability.- References.
De oplyste priser er inkl. moms
Butikker og åbningstid
Handler du som firma
Forretningsbetingelser
Porto og forsendelse
Data & cookiepolitik
Handler du som firma
Forretningsbetingelser
Porto og forsendelse
Data & cookiepolitik
Polyteknisk Boghandel og Forlag A/S - Anker Engelundsvej 1 - 2800 Lyngby
Tlf 77 42 43 44 - email poly@polyteknisk.dk - CVR 34072655 - Sydbank Reg: 6748 Konto 0001107927
Tlf 77 42 43 44 - email poly@polyteknisk.dk - CVR 34072655 - Sydbank Reg: 6748 Konto 0001107927