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[null,"1.","Record Nr.",null,"UNINA9910145585903321"]
[null,null,"Autore",null,"Cooke Roger <1942->"]
[null,null,"Titolo",null,"Classical algebra [[electronic resource] ] : its nature, origins, and uses / / Roger Cooke"]
[null,null,"Pubbl/distr/stampa",null,"Hoboken, N.J., : Wiley-Interscience, c2008"]
[null,null,"ISBN",null,"1-281-28501-3"]
[{"$nulls":4},"9786611285012"]
[{"$nulls":4},"0-470-27798-X"]
[{"$nulls":4},"0-470-27797-1"]
[null,null,"Descrizione fisica",null,"1 online resource (220 p.)"]
[null,null,"Disciplina",null,"512"]
[null,null,"Soggetti",null,"Algebra"]
[{"$nulls":4},"Algebra - History"]
[{"$nulls":4},"Algebraic logic"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and indexes."]
[null,null,"Nota di contenuto",null,"Classical Algebra Its Nature, Origins, and Uses; Contents; Preface; Part 1. Numbers and Equations; Lesson 1. What Algebra Is; 1. Numbers in disguise; 1.1.\"\"Classical\"\" and modern algebra; 2. Arithmetic and algebra; 3. The \"\"environment\"\" of algebra: Number systems; 4. Important concepts and principles in this lesson; 5. Problems and questions; 6. Further reading; Lesson 2. Equations and Their Solutions; 1. Polynomial equations, coefficients, and roots; 1.1. Geometric interpretations; 2. The classification of equations; 2.1. Diophantine equations"]
[{"$nulls":4},"3. Numerical and formulaic approaches to equations3.1. The numerical approach; 3.2. The formulaic approach; 4. Important concepts and principles in this lesson; 5. Problems and questions; 6. Further reading; Lesson 3. Where Algebra Comes From; 1. An Egyptian problem; 2. A Mesopotamian problem; 3. A Chinese problem; 4. An Arabic problem; 5. A Japanese problem; 6. Problems and questions; 7. Further reading; Lesson 4. Why Algebra Is Important; 1. Example: An ideal pendulum; 2. Problems and questions; 3. Further reading; Lesson 5. Numerical Solution of Equations; 1. A simple but crude method"]
[{"$nulls":4},"2. Ancient Chinese methods of calculating2.1. A linear problem in three unknowns; 3. Systems of linear equations; 4. Polynomial equations; "]
[{"$nulls":4},"4.1. Noninteger solutions; 5. The cubic equation; 6. Problems and questions; 7. Further reading; Part 2. The Formulaic Approach to Equations; Lesson 6. Combinatoric Solutions I: Quadratic Equations; 1. Why not set up tables of solutions?; 2. The quadratic formula; 3. Problems and questions; 4. Further reading; Lesson 7. Combinatoric Solutions II: Cubic Equations; 1. Reduction from four parameters to one; 2. Graphical solutions of cubic equations"]
[{"$nulls":4},"3. Efforts to find a cubic formula3.1. Cube roots of complex numbers; 4. Alternative forms of the cubic formula; 5. The \"\"irreducible case\"\"; 5.1. Imaginary numbers; 6. Problems and questions; 7. Further reading; Part 3. Resolvents; Lesson 8. From Combinatorics to Resolvents; 1. Solution of the irreducible case using complex numbers; 2. The quartic equation; 3. Viete's solution of the irreducible case of the cubic; 3.1. Comparison of the Viète and Cardano solutions; 4. The Tschirnhaus solution of the cubic equation; 5. Lagrange's reflections on the cubic equation"]
[{"$nulls":4},"5.1. The cubic formula in terms of the roots5.2. A test case: The quartic; 6. Problems and questions; 7. Further reading; Lesson 9. The Search for Resolvents; 1. Coefficients and roots; 2. A unified approach to equations of all degrees; 2.1. A resolvent for the cubic equation; 3. A resolvent for the general quartic equation; 4. The state of polynomial algebra in 1770; 4.1. Seeking a resolvent for the quintic; 5. Permutations enter algebra; 6. Permutations of the variables in a function; 6.1.Two-valued functions; 7. Problems and questions; 8. Further reading; Part 4. Abstract Algebra"]
[{"$nulls":4},"Lesson 10. Existence and Constructibility of Roots"]
[null,null,null,"Sommario/riassunto","This insightful book combines the history, pedagogy, and popularization of algebra to present a unified discussion of the subject. Classical Algebra provides a complete and contemporary perspective on classical polynomial algebra through the exploration of how it was developed and how it exists today. With a focus on prominent areas such as the numerical solutions of equations, the systematic study of equations, and Galois theory, this book facilitates a thorough understanding of algebra and illustrates how the concepts of modern algebra originally developed from classical algebraic precurso"]
[null,"2.","Record Nr.",null,"UNISA996394400003316"]
[null,null,"Autore",null,"Derodon David <ca. 1600-1664.>"]
[null,null,"Titolo",null,"The funeral of the mass: or, The mass dead and buried, without hope of resurrection. Translated out of French [[electronic resource]]"]
[null,null,"Pubbl/distr/stampa",null,"London, : printed for Randal Taylor, near Stationers-Hall, 1685"]
[null,null,"Edizione",null,"[The fifth edition, corrected.]"]
[null,null,"Descrizione fisica",null,"[6], 149, [1] p"]
[null,null,"Soggetti",null,"Mass"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","A translation, by S.A., of:  Derodon, David.  Le tombeau de la messe."]
[{"$nulls":4},"Reproduction of the original in the British Library."]
[null,null,null,"Sommario/riassunto","eebo-0018"]