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Der Briefwechsel Richard Dedekind - Heinrich Weber / / Katrin Scheel ; herausgegeben von Thomas Sonar, unter Mitarbeit von Karin Reich
| Der Briefwechsel Richard Dedekind - Heinrich Weber / / Katrin Scheel ; herausgegeben von Thomas Sonar, unter Mitarbeit von Karin Reich |
| Autore | Scheel Katrin |
| Pubbl/distr/stampa | Berlin, Germany : , : De Gruyter Akademie Forschung, , 2014 |
| Descrizione fisica | 1 online resource (512 p.) |
| Disciplina | 512.092/2 |
| Collana | Abhandlungen der Akademie der Wissenschaften in Hamburg |
| Soggetto topico |
Algebra - History
Numbers, Real - History Mathematicians - Germany |
| Soggetto genere / forma | Electronic books. |
| ISBN |
3-11-036804-8
3-11-039865-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Nota di contenuto | Frontmatter -- Grußwort -- Geleitwort -- Vorwort des Herausgebers -- Danksagung -- Editionskriterien -- Abkürzungsverzeichnis -- Inhalt -- 1. Einleitung -- 2. Richard Dedekind -- 3. Heinrich Weber -- 4. Briefwechsel Dedekind - Weber -- 5. Elise Riemann -- 6. Verlag B. G. Teubner -- 7. Karl Hattendorff -- 8. Hermann Amandus Schwarz -- 9. Friedrich Wöhler -- A. Verlagsverträge B. G. Teubner-Verlag -- B. Chronologisches Dokumentenverzeichnis -- C. Verzeichnis der Fundstellen -- D. Literaturverzeichnis zum Briefwechsel -- E. Kurzbiographien -- Literatur -- Personenindex |
| Record Nr. | UNINA-9910463818203321 |
Scheel Katrin
|
||
| Berlin, Germany : , : De Gruyter Akademie Forschung, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Der Briefwechsel Richard Dedekind - Heinrich Weber / / Katrin Scheel ; herausgegeben von Thomas Sonar, unter Mitarbeit von Karin Reich
| Der Briefwechsel Richard Dedekind - Heinrich Weber / / Katrin Scheel ; herausgegeben von Thomas Sonar, unter Mitarbeit von Karin Reich |
| Autore | Scheel Katrin |
| Pubbl/distr/stampa | Berlin, Germany : , : De Gruyter Akademie Forschung, , 2014 |
| Descrizione fisica | 1 online resource (512 p.) |
| Disciplina | 512.092/2 |
| Collana | Abhandlungen der Akademie der Wissenschaften in Hamburg |
| Soggetto topico |
Algebra - History
Numbers, Real - History Mathematicians - Germany |
| Soggetto non controllato |
Famous mathematicians
history of science mathematics mathematics/history |
| ISBN |
3-11-036804-8
3-11-039865-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Nota di contenuto | Frontmatter -- Grußwort -- Geleitwort -- Vorwort des Herausgebers -- Danksagung -- Editionskriterien -- Abkürzungsverzeichnis -- Inhalt -- 1. Einleitung -- 2. Richard Dedekind -- 3. Heinrich Weber -- 4. Briefwechsel Dedekind - Weber -- 5. Elise Riemann -- 6. Verlag B. G. Teubner -- 7. Karl Hattendorff -- 8. Hermann Amandus Schwarz -- 9. Friedrich Wöhler -- A. Verlagsverträge B. G. Teubner-Verlag -- B. Chronologisches Dokumentenverzeichnis -- C. Verzeichnis der Fundstellen -- D. Literaturverzeichnis zum Briefwechsel -- E. Kurzbiographien -- Literatur -- Personenindex |
| Record Nr. | UNISA-996449443703316 |
|
Scheel Katrin
|
||
| Berlin, Germany : , : De Gruyter Akademie Forschung, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Der Briefwechsel Richard Dedekind - Heinrich Weber / / Katrin Scheel ; herausgegeben von Thomas Sonar, unter Mitarbeit von Karin Reich
| Der Briefwechsel Richard Dedekind - Heinrich Weber / / Katrin Scheel ; herausgegeben von Thomas Sonar, unter Mitarbeit von Karin Reich |
| Autore | Scheel Katrin |
| Pubbl/distr/stampa | Berlin, Germany : , : De Gruyter Akademie Forschung, , 2014 |
| Descrizione fisica | 1 online resource (512 p.) |
| Disciplina | 512.092/2 |
| Collana | Abhandlungen der Akademie der Wissenschaften in Hamburg |
| Soggetto topico |
Algebra - History
Numbers, Real - History Mathematicians - Germany |
| Soggetto non controllato |
Famous mathematicians
history of science mathematics mathematics/history |
| ISBN |
3-11-036804-8
3-11-039865-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | ger |
| Nota di contenuto | Frontmatter -- Grußwort -- Geleitwort -- Vorwort des Herausgebers -- Danksagung -- Editionskriterien -- Abkürzungsverzeichnis -- Inhalt -- 1. Einleitung -- 2. Richard Dedekind -- 3. Heinrich Weber -- 4. Briefwechsel Dedekind - Weber -- 5. Elise Riemann -- 6. Verlag B. G. Teubner -- 7. Karl Hattendorff -- 8. Hermann Amandus Schwarz -- 9. Friedrich Wöhler -- A. Verlagsverträge B. G. Teubner-Verlag -- B. Chronologisches Dokumentenverzeichnis -- C. Verzeichnis der Fundstellen -- D. Literaturverzeichnis zum Briefwechsel -- E. Kurzbiographien -- Literatur -- Personenindex |
| Record Nr. | UNINA-9910540185003321 |
|
Scheel Katrin
|
||
| Berlin, Germany : , : De Gruyter Akademie Forschung, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classical algebra [[electronic resource] ] : its nature, origins, and uses / / Roger Cooke
| Classical algebra [[electronic resource] ] : its nature, origins, and uses / / Roger Cooke |
| Autore | Cooke Roger <1942-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2008 |
| Descrizione fisica | 1 online resource (220 p.) |
| Disciplina | 512 |
| Soggetto topico |
Algebra
Algebra - History Algebraic logic |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-28501-3
9786611285012 0-470-27798-X 0-470-27797-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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
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 2. Ancient Chinese methods of calculating2.1. A linear problem in three unknowns; 3. Systems of linear equations; 4. Polynomial equations; 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 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 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 Lesson 10. Existence and Constructibility of Roots |
| Record Nr. | UNINA-9910145585903321 |
|
Cooke Roger <1942->
|
||
| Hoboken, N.J., : Wiley-Interscience, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classical algebra [[electronic resource] ] : its nature, origins, and uses / / Roger Cooke
| Classical algebra [[electronic resource] ] : its nature, origins, and uses / / Roger Cooke |
| Autore | Cooke Roger <1942-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2008 |
| Descrizione fisica | 1 online resource (220 p.) |
| Disciplina | 512 |
| Soggetto topico |
Algebra
Algebra - History Algebraic logic |
| ISBN |
1-281-28501-3
9786611285012 0-470-27798-X 0-470-27797-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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
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 2. Ancient Chinese methods of calculating2.1. A linear problem in three unknowns; 3. Systems of linear equations; 4. Polynomial equations; 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 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 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 Lesson 10. Existence and Constructibility of Roots |
| Record Nr. | UNINA-9910830823203321 |
|
Cooke Roger <1942->
|
||
| Hoboken, N.J., : Wiley-Interscience, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Classical algebra : its nature, origins, and uses / / Roger Cooke
| Classical algebra : its nature, origins, and uses / / Roger Cooke |
| Autore | Cooke Roger <1942-> |
| Pubbl/distr/stampa | Hoboken, N.J., : Wiley-Interscience, c2008 |
| Descrizione fisica | 1 online resource (220 p.) |
| Disciplina | 512 |
| Soggetto topico |
Algebra
Algebra - History Algebraic logic |
| ISBN |
9786611285012
9781281285010 1281285013 9780470277980 047027798X 9780470277973 0470277971 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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
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 2. Ancient Chinese methods of calculating2.1. A linear problem in three unknowns; 3. Systems of linear equations; 4. Polynomial equations; 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 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 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 Lesson 10. Existence and Constructibility of Roots |
| Record Nr. | UNINA-9911020366603321 |
|
Cooke Roger <1942->
|
||
| Hoboken, N.J., : Wiley-Interscience, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Episodes in the history of modern algebra (1800-1950) / / Jeremy J. Gray and Karen Hunger Parshall, editors
| Episodes in the history of modern algebra (1800-1950) / / Jeremy J. Gray and Karen Hunger Parshall, editors |
| Pubbl/distr/stampa | Providence, Rhode Island ; ; London, England : , : American Mathematical Society : , : The London Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (337 pages) : illustrations, tables |
| Disciplina | 512.009 |
| Collana | History of Mathematics |
| Soggetto topico | Algebra - History |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-1808-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910480243903321 |
| Providence, Rhode Island ; ; London, England : , : American Mathematical Society : , : The London Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Episodes in the history of modern algebra (1800-1950) / / Jeremy J. Gray and Karen Hunger Parshall, editors
| Episodes in the history of modern algebra (1800-1950) / / Jeremy J. Gray and Karen Hunger Parshall, editors |
| Pubbl/distr/stampa | Providence, Rhode Island ; ; London, England : , : American Mathematical Society : , : The London Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (337 pages) : illustrations, tables |
| Disciplina | 512.009 |
| Collana | History of Mathematics |
| Soggetto topico | Algebra - History |
| ISBN | 1-4704-1808-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910794727303321 |
| Providence, Rhode Island ; ; London, England : , : American Mathematical Society : , : The London Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Episodes in the history of modern algebra (1800-1950) / / Jeremy J. Gray and Karen Hunger Parshall, editors
| Episodes in the history of modern algebra (1800-1950) / / Jeremy J. Gray and Karen Hunger Parshall, editors |
| Pubbl/distr/stampa | Providence, Rhode Island ; ; London, England : , : American Mathematical Society : , : The London Mathematical Society, , 2007 |
| Descrizione fisica | 1 online resource (337 pages) : illustrations, tables |
| Disciplina | 512.009 |
| Collana | History of Mathematics |
| Soggetto topico | Algebra - History |
| ISBN | 1-4704-1808-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910814161203321 |
| Providence, Rhode Island ; ; London, England : , : American Mathematical Society : , : The London Mathematical Society, , 2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Explorations and false trails : the innovative techniques that brought about modern algebra / / Jens Høyrup
| Explorations and false trails : the innovative techniques that brought about modern algebra / / Jens Høyrup |
| Autore | Høyrup Jens |
| Pubbl/distr/stampa | Cham : , : Springer, , 2024 |
| Descrizione fisica | 1 online resource (x, 143 pages) : illustrations |
| Disciplina | 509 |
| Collana | SpringerBriefs in history of science and technology |
| Soggetto topico |
Algebra - History
Science - History Mathematics History History of Science History of Mathematical Sciences |
| ISBN |
9783031481581
9783031481574 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Introduction -- Chapter 1. Geometric proofs -- Chapter 2. Powers of the unknown -- Chapter 3. Abbreviations, glyphs, symbols and symbolic calculation -- Chapter 4. Embedding and parenthesis function -- Chapter 5. Several unknowns -- Chapter 6. The transition to incipient modern algebra -- Bibliography -- Index. . |
| Record Nr. | UNINA-9910878055703321 |
|
Høyrup Jens
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| Cham : , : Springer, , 2024 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
