Quadratic number theory: an invitation to algebraic methods in the higher arithmetic
3.6. A Formula for Ideal MultiplicationIdeals of Quadratic Domains-Review; Part Two: Quadratic Forms and Ideals; Chapter 4. Quadratic Forms; 4.1. Classification of Quadratic Forms; 4.2. Equivalence of Quadratic Forms; 4.3. Representations of Integers by Quadratic Forms; 4.4. Genera of Quadratic Form...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Providence, Rhode Island
MAA Press
[2019]
|
| Schriftenreihe: | Dolciani mathematical expositions
vol 52 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBY01 |
| Zusammenfassung: | 3.6. A Formula for Ideal MultiplicationIdeals of Quadratic Domains-Review; Part Two: Quadratic Forms and Ideals; Chapter 4. Quadratic Forms; 4.1. Classification of Quadratic Forms; 4.2. Equivalence of Quadratic Forms; 4.3. Representations of Integers by Quadratic Forms; 4.4. Genera of Quadratic Forms; Quadratic Forms-Review; Chapter 5. Correspondence between Forms and Ideals; 5.1. Equivalence of Ideals; 5.2. Quadratic Forms Associated to an Ideal; 5.3. Composition of Binary Quadratic Forms; 5.4. Class Groups of Ideals and Quadratic Forms; Correspondence between Forms and Ideals-Review 8.1. Constructing Class Groups of Subdomains8.2. Projection Homomorphisms; 8.3. The Kernel of a Projection Homomorphism; Class Groups of Quadratic Subdomains-Review; Part Four: Indefinite Quadratic Forms; Chapter 9. Continued Fractions; 9.1. Introduction to Continued Fractions; 9.2. Pell's Equation; 9.3. Convergence of Continued Fractions; 9.4. Continued Fraction Expansions of Real Numbers; 9.5. Purely Periodic Continued Fractions; 9.6. Continued Fractions of Irrational Quadratic Numbers; Continued Fractions-Review; Chapter 10. Class Groups of Positive Discriminant Cover; Title page; Copyright; Contents; Preface; Acknowledgments; Introduction: A Brief Review of Elementary Number Theory; 0.1. Linear Equations and Congruences; 0.2. Quadratic Congruences Modulo Primes; 0.3. Quadratic Congruences Modulo Composite Integers; Part One: Quadratic Domains and Ideals; Chapter 1. Gaussian Integers and Sums of Two Squares; 1.1. Sums of Two Squares; 1.2. Gaussian Integers; 1.3. Ideal Form for Gaussian Integers; 1.4. Factorization and Multiplication with Ideal Forms; 1.5. Reduction of Ideal Forms for Gaussian Integers; 1.6. Sums of Two Squares Revisited |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9781470451554 |
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| 520 | 3 | |a 3.6. A Formula for Ideal MultiplicationIdeals of Quadratic Domains-Review; Part Two: Quadratic Forms and Ideals; Chapter 4. Quadratic Forms; 4.1. Classification of Quadratic Forms; 4.2. Equivalence of Quadratic Forms; 4.3. Representations of Integers by Quadratic Forms; 4.4. Genera of Quadratic Forms; Quadratic Forms-Review; Chapter 5. Correspondence between Forms and Ideals; 5.1. Equivalence of Ideals; 5.2. Quadratic Forms Associated to an Ideal; 5.3. Composition of Binary Quadratic Forms; 5.4. Class Groups of Ideals and Quadratic Forms; Correspondence between Forms and Ideals-Review | |
| 520 | 3 | |a 8.1. Constructing Class Groups of Subdomains8.2. Projection Homomorphisms; 8.3. The Kernel of a Projection Homomorphism; Class Groups of Quadratic Subdomains-Review; Part Four: Indefinite Quadratic Forms; Chapter 9. Continued Fractions; 9.1. Introduction to Continued Fractions; 9.2. Pell's Equation; 9.3. Convergence of Continued Fractions; 9.4. Continued Fraction Expansions of Real Numbers; 9.5. Purely Periodic Continued Fractions; 9.6. Continued Fractions of Irrational Quadratic Numbers; Continued Fractions-Review; Chapter 10. Class Groups of Positive Discriminant | |
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Datensatz im Suchindex
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| author | Lehman, J. L. 1957- |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7/4 |
| dewey-search | 512.7/4 |
| dewey-sort | 3512.7 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T17:20:44Z |
| indexdate | 2024-07-10T09:08:00Z |
| institution | BVB |
| isbn | 9781470451554 |
| language | English |
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| series | Dolciani mathematical expositions |
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| spelling | Lehman, J. L. 1957- Verfasser (DE-588)1186853107 aut Quadratic number theory an invitation to algebraic methods in the higher arithmetic J.L. Lehman Providence, Rhode Island MAA Press [2019] 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Dolciani mathematical expositions vol 52 3.6. A Formula for Ideal MultiplicationIdeals of Quadratic Domains-Review; Part Two: Quadratic Forms and Ideals; Chapter 4. Quadratic Forms; 4.1. Classification of Quadratic Forms; 4.2. Equivalence of Quadratic Forms; 4.3. Representations of Integers by Quadratic Forms; 4.4. Genera of Quadratic Forms; Quadratic Forms-Review; Chapter 5. Correspondence between Forms and Ideals; 5.1. Equivalence of Ideals; 5.2. Quadratic Forms Associated to an Ideal; 5.3. Composition of Binary Quadratic Forms; 5.4. Class Groups of Ideals and Quadratic Forms; Correspondence between Forms and Ideals-Review 8.1. Constructing Class Groups of Subdomains8.2. Projection Homomorphisms; 8.3. The Kernel of a Projection Homomorphism; Class Groups of Quadratic Subdomains-Review; Part Four: Indefinite Quadratic Forms; Chapter 9. Continued Fractions; 9.1. Introduction to Continued Fractions; 9.2. Pell's Equation; 9.3. Convergence of Continued Fractions; 9.4. Continued Fraction Expansions of Real Numbers; 9.5. Purely Periodic Continued Fractions; 9.6. Continued Fractions of Irrational Quadratic Numbers; Continued Fractions-Review; Chapter 10. Class Groups of Positive Discriminant Cover; Title page; Copyright; Contents; Preface; Acknowledgments; Introduction: A Brief Review of Elementary Number Theory; 0.1. Linear Equations and Congruences; 0.2. Quadratic Congruences Modulo Primes; 0.3. Quadratic Congruences Modulo Composite Integers; Part One: Quadratic Domains and Ideals; Chapter 1. Gaussian Integers and Sums of Two Squares; 1.1. Sums of Two Squares; 1.2. Gaussian Integers; 1.3. Ideal Form for Gaussian Integers; 1.4. Factorization and Multiplication with Ideal Forms; 1.5. Reduction of Ideal Forms for Gaussian Integers; 1.6. Sums of Two Squares Revisited Quadratische Form (DE-588)4128297-8 gnd rswk-swf Quadratischer Körper (DE-588)4667267-9 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf Electronic books Algebraische Zahlentheorie (DE-588)4001170-7 s Quadratischer Körper (DE-588)4667267-9 s Quadratische Form (DE-588)4128297-8 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-4704-4737-3 Dolciani mathematical expositions vol 52 (DE-604)BV041453181 52 |
| spellingShingle | Lehman, J. L. 1957- Quadratic number theory an invitation to algebraic methods in the higher arithmetic Dolciani mathematical expositions Quadratische Form (DE-588)4128297-8 gnd Quadratischer Körper (DE-588)4667267-9 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd |
| subject_GND | (DE-588)4128297-8 (DE-588)4667267-9 (DE-588)4001170-7 |
| title | Quadratic number theory an invitation to algebraic methods in the higher arithmetic |
| title_auth | Quadratic number theory an invitation to algebraic methods in the higher arithmetic |
| title_exact_search | Quadratic number theory an invitation to algebraic methods in the higher arithmetic |
| title_exact_search_txtP | Quadratic number theory an invitation to algebraic methods in the higher arithmetic |
| title_full | Quadratic number theory an invitation to algebraic methods in the higher arithmetic J.L. Lehman |
| title_fullStr | Quadratic number theory an invitation to algebraic methods in the higher arithmetic J.L. Lehman |
| title_full_unstemmed | Quadratic number theory an invitation to algebraic methods in the higher arithmetic J.L. Lehman |
| title_short | Quadratic number theory |
| title_sort | quadratic number theory an invitation to algebraic methods in the higher arithmetic |
| title_sub | an invitation to algebraic methods in the higher arithmetic |
| topic | Quadratische Form (DE-588)4128297-8 gnd Quadratischer Körper (DE-588)4667267-9 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd |
| topic_facet | Quadratische Form Quadratischer Körper Algebraische Zahlentheorie |
| volume_link | (DE-604)BV041453181 |
| work_keys_str_mv | AT lehmanjl quadraticnumbertheoryaninvitationtoalgebraicmethodsinthehigherarithmetic |