Description du livre Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 160 pp. Englisch. N� de r�f. du vendeur 9780817648367

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Beyond the Quartic Equation (Modern Birkh�user Classics)

King, R. Bruce

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ISBN 10 : 0817648364 ISBN 13 : 9780817648367

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Description du livre Etat : New. New! This book is in the same immaculate condition as when it was published. N� de r�f. du vendeur 353-0817648364-new

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Beyond the Quartic Equation

R. Bruce King

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ISBN 10 : 0817648364 ISBN 13 : 9780817648367

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Description du livre Paperback / softback. Etat : New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days. N� de r�f. du vendeur C9780817648367

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R. Bruce King

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Description du livre Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. An affordable softcover edition of a classic textComplete algorithm for roots of the general quintic equationKey ideas accessible to non-specialistsIndroductory chapter covers group theory and symmetry, Galois theory, Tschirnhausen t. N� de r�f. du vendeur 5975908

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Beyond the Quartic Equation (Modern Birkh�user Classics)

King, R. Bruce

Edit� par Birkh�user (2008)

ISBN 10 : 0817648364 ISBN 13 : 9780817648367

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R. Bruce King

Edit� par Birkh�user Boston (2008)

ISBN 10 : 0817648364 ISBN 13 : 9780817648367

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Description du livre Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N� de r�f. du vendeur 9780817648367

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