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An introduction to algebraic number theory / Takashi Ono
| An introduction to algebraic number theory / Takashi Ono |
| Autore | Ono, Takashi |
| Edizione | [2nd ed] |
| Pubbl/distr/stampa | New York, : Plenum, 1990 |
| Descrizione fisica | XI, 223 p. : ill. ; 24 cm. |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11R37 - Class field theory [MSC 2020] 11R29 - Class numbers, class groups, discriminants [MSC 2020] Units and factorization [MSC 2010] 11R27 11R11 - Quadratic extensions [MSC 2020] 11R18 - Cyclotomic extensions [MSC 2020] Zeta functions and $L$-functions of number fields [MSC 2010] 11R42 11R04 - Algebraic numbers; rings of algebraic integers [MSC 2020] |
| ISBN | 03-06-43436-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0029378 |
Ono, Takashi
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| New York, : Plenum, 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
An introduction to algebraic number theory / Takashi Ono
| An introduction to algebraic number theory / Takashi Ono |
| Autore | Ono, Takashi |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | New York, : Plenum, 1990 |
| Descrizione fisica | XI, 223 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11R37 - Class field theory [MSC 2020] 11R29 - Class numbers, class groups, discriminants [MSC 2020] 11R27 - Units and factorization [MSC 2020] 11R11 - Quadratic extensions [MSC 2020] 11R18 - Cyclotomic extensions [MSC 2020] 11R42 - Zeta functions and $L$-functions of number fields [MSC 2020] 11R04 - Algebraic numbers; rings of algebraic integers [MSC 2020] |
| ISBN | 03-06-43436-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0029378 |
|
Ono, Takashi
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||
| New York, : Plenum, 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
An Introduction to Algebraic Number Theory / Takashi Ono
| An Introduction to Algebraic Number Theory / Takashi Ono |
| Autore | Ono, Takashi |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | New York, : Plenum, 1990 |
| Descrizione fisica | XI, 223 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11R04 - Algebraic numbers; rings of algebraic integers [MSC 2020] 11R11 - Quadratic extensions [MSC 2020] 11R18 - Cyclotomic extensions [MSC 2020] 11R27 - Units and factorization [MSC 2020] 11R29 - Class numbers, class groups, discriminants [MSC 2020] 11R37 - Class field theory [MSC 2020] 11R42 - Zeta functions and $L$-functions of number fields [MSC 2020] |
| Soggetto non controllato |
Algebra
Algebraic Number Theory Galois theory Number theory |
| ISBN | 03-06-43436-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00029378 |
|
Ono, Takashi
|
||
| New York, : Plenum, 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
An Introduction to Algebraic Number Theory / Takashi Ono
| An Introduction to Algebraic Number Theory / Takashi Ono |
| Autore | Ono, Takashi |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | New York, : Plenum, 1990 |
| Descrizione fisica | xi, 223 p. : ill. ; 24 cm |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11R04 - Algebraic numbers; rings of algebraic integers [MSC 2020] 11R11 - Quadratic extensions [MSC 2020] 11R18 - Cyclotomic extensions [MSC 2020] 11R27 - Units and factorization [MSC 2020] 11R29 - Class numbers, class groups, discriminants [MSC 2020] 11R37 - Class field theory [MSC 2020] 11R42 - Zeta functions and $L$-functions of number fields [MSC 2020] |
| Soggetto non controllato |
Algebra
Algebraic Number Theory Galois theory Number theory |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00287669 |
|
Ono, Takashi
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||
| New York, : Plenum, 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Applications of Number Theory to Numerical Analysis / H. L. Keng, W. Yuan
| Applications of Number Theory to Numerical Analysis / H. L. Keng, W. Yuan |
| Autore | Keng, Hua Loo |
| Pubbl/distr/stampa | Berlin, : Springer-Verlag ; Beijing, : Science, 1981 |
| Descrizione fisica | 241 p. ; 24 cm |
| Altri autori (Persone) | Yuan, Wang |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11J71 - Distribution modulo one [MSC 2020] 11K06 - General theory of distribution modulo $1$ [MSC 2020] 11R18 - Cyclotomic extensions [MSC 2020] 65-XX - Numerical analysis [MSC 2020] 65D32 - Numerical quadrature and cubature formulas [MSC 2020] 65R20 - Numerical methods for integral equations [MSC 2020] |
| Soggetto non controllato |
Applications
Calculation Computer Number theory Numerical Analysis Numerical Mathematics |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Owing to the developments and applications of computer science, ma thematicians began to take a serious interest in the applications of number theory to numerical analysis about twenty years ago. The progress achieved has been both important practically as well as satisfactory from the theoretical view point. It'or example, from the seventeenth century till now, a great deal of effort was made in developing methods for approximating single integrals and there were only a few works on multiple quadrature until the 1950's. But in the past twenty years, a number of new methods have been devised of which the number theoretic method is an effective one. The number theoretic method may be described as follows. We use num ber theory to construct a sequence of uniformly distributed sets in the s dimensional unit cube G , where s ~ 2. Then we use the sequence to s reduce a difficult analytic problem to an arithmetic problem which may be calculated by computer. For example, we may use the arithmetic mean of the values of integrand in a given uniformly distributed set of G to ap s proximate the definite integral over G such that the principal order of the s error term is shown to be of the best possible kind, if the integrand satis fies certain conditions. |
| Record Nr. | UNICAMPANIA-VAN00261759 |
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Keng, Hua Loo
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| Berlin, : Springer-Verlag ; Beijing, : Science, 1981 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Around the Unit Circle : Mahler Measure, Integer Matrices and Roots of Unity / James McKee, Chris Smyth
| Around the Unit Circle : Mahler Measure, Integer Matrices and Roots of Unity / James McKee, Chris Smyth |
| Autore | McKee, James |
| Pubbl/distr/stampa | Cham, : Springer, 2021 |
| Descrizione fisica | xx, 438 p. : ill. ; 24 cm |
| Altri autori (Persone) | Smyth, Chris |
| Soggetto topico |
11-XX - Number theory [MSC 2020]
11R06 - PV-numbers and generalizations; other special algebraic numbers; Mahler measure [MSC 2020] 11R18 - Cyclotomic extensions [MSC 2020] 11C08 - Polynomials in number theory [MSC 2020] 05A05 - Permutations, words, matrices [MSC 2020] 15B36 - Matrices of integers [MSC 2020] 05C22 - Signed and weighted graphs [MSC 2020] 05C20 - Directed graphs (digraphs), tournaments [MSC 2020] 11C20 - Matrices, determinants in number theory [MSC 2020] 11S05 - Polynomials [MSC 2020] |
| Soggetto non controllato |
Adjacency matrix
Auxiliary function methods Cyclotomic integers Estes-Guralnick conjecture Lehmer's problem Mahler measure Robinson's conjecture Salem numbers Schinzel-Zassenhaus conjecture Schur-Siegel-Smyth trace problem Signed and directed graphs Symmetrizable integer matrics |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0274580 |
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McKee, James
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| Cham, : Springer, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Around the Unit Circle : Mahler Measure, Integer Matrices and Roots of Unity / James McKee, Chris Smyth
| Around the Unit Circle : Mahler Measure, Integer Matrices and Roots of Unity / James McKee, Chris Smyth |
| Autore | McKee, James F. |
| Pubbl/distr/stampa | Cham, : Springer, 2021 |
| Descrizione fisica | xx, 438 p. : ill. ; 24 cm |
| Altri autori (Persone) | Smyth, Christopher J. |
| Soggetto topico |
05A05 - Permutations, words, matrices [MSC 2020]
05C20 - Directed graphs (digraphs), tournaments [MSC 2020] 05C22 - Signed and weighted graphs [MSC 2020] 11-XX - Number theory [MSC 2020] 11C08 - Polynomials in number theory [MSC 2020] 11C20 - Matrices, determinants in number theory [MSC 2020] 11R06 - PV-numbers and generalizations; other special algebraic numbers; Mahler measure [MSC 2020] 11R18 - Cyclotomic extensions [MSC 2020] 11S05 - Polynomials [MSC 2020] 15B36 - Matrices of integers [MSC 2020] |
| Soggetto non controllato |
Adjacency Matrix
Auxiliary Function Methods Cyclotomic Integers Estes-Guralnick conjecture Lehmer's problem Mahler measure Robinson's conjecture Salem numbers Schinzel-Zassenhaus conjecture Schur-Siegel-Smyth trace problem Signed and directed graphs Symmetrizable integer matrics |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00274580 |
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McKee, James F.
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| Cham, : Springer, 2021 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Catalan's conjecture / René Schoof
| Catalan's conjecture / René Schoof |
| Autore | Schoof, René |
| Pubbl/distr/stampa | London, : Springer, 2008 |
| Descrizione fisica | IX, 124 p. ; 24 cm. |
| Soggetto topico |
11D61 - Exponential Diophantine equations [MSC 2020]
11R18 - Cyclotomic extensions [MSC 2020] 11D41 - Higher degree equations; Fermat's equation [MSC 2020] |
| ISBN | 978-18-480-0184-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0085501 |
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Schoof, René
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||
| London, : Springer, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Catalan's conjecture / René Schoof
| Catalan's conjecture / René Schoof |
| Autore | Schoof, René |
| Pubbl/distr/stampa | London, : Springer, 2008 |
| Descrizione fisica | IX, 124 p. ; 24 cm. |
| Soggetto topico |
11D61 - Exponential Diophantine equations [MSC 2020]
11R18 - Cyclotomic extensions [MSC 2020] 11D41 - Higher degree equations; Fermat's equation [MSC 2020] |
| ISBN | 978-18-480-0184-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISOB-VAN0085501 |
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Schoof, René
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||
| London, : Springer, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Suor Orsola Benincasa | ||
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Catalan's conjecture / René Schoof
| Catalan's conjecture / René Schoof |
| Autore | Schoof, René |
| Pubbl/distr/stampa | London, : Springer, 2008 |
| Descrizione fisica | IX, 124 p. ; 24 cm |
| Soggetto topico |
11D61 - Exponential Diophantine equations [MSC 2020]
11R18 - Cyclotomic extensions [MSC 2020] 11D41 - Higher degree equations; Fermat's equation [MSC 2020] |
| ISBN | 978-18-480-0184-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0085501 |
|
Schoof, René
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||
| London, : Springer, 2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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