Beyond the Quartic Equation (Modern Birkhäuser Classics) - Image 1

£79.32

Birkhauser Beyond the Quartic Equation (Modern Birkhäuser Classics)

Name: Beyond the Quartic Equation (Modern Birkhauser Classics)
Brand: Birkhauser
Price: 79.32 GBP
Availability: InStock

Algebra

About as cheap as it gets. The only time it was cheaper was 1 month ago.

£79 today · all-time low £79 (Apr 2026) · usually the usual

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Description

One of the landmarks in the history of mathematics is the proof of the nonex- tence of algorithms based solely on radicals and elementary arithmetic operations (addition, subtraction, multiplication, and division) for solutions of general al- braic equations of degrees higher than four. This proof by the French mathema- cian Evariste Galois in the early nineteenth century used the then novel concept of the permutation symmetry of the roots of algebraic equations and led to the invention of group theory, an area of mathematics now nearly two centuries old that has had extensive applications in the physical sciences in recent decades. The radical-based algorithms for solutions of general algebraic equations of degrees 2 (quadratic equations), 3 (cubic equations), and 4 (quartic equations) have been well-known for a number of centuries. The quadratic equation algorithm uses a single square root, the cubic equation algorithm uses a square root inside a cube root, and the quartic equation algorithm combines the cubic and quadratic equation algorithms with no new features. The details of the formulas for these equations of degree d(d = 2,3,4) relate to the properties of the corresponding symmetric groups Sd which are isomorphic to the symmetries of the equilateral triangle for d = 3 and the regular tetrahedron for d ― 4.

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Used Book in Good Condition

Product Specifications

Brand: Birkhauser
Format: paperback
ASIN: 0817648364
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 13 November 2008
Listed Since: 15 September 2008

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Birkhauser Beyond the Quartic Equation (Modern Birkhäuser Classics)

About as cheap as it gets. The only time it was cheaper was 1 month ago.

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