Artículos relacionados a A Course in Arithmetic: 7 (Graduate Texts in Mathematics)
Sinopsis
This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses "analytic" methods (holomor phic functions). Chapter VI gives the proof of the "theorem on arithmetic progressions" due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors.
"Sinopsis" puede pertenecer a otra edición de este libro.
Críticas
“The book is a showcase of how some results in classical number theory (the Arithmetic of the title) can be derived quickly using abstract algebra. ... There are a reasonable number of worked examples, and they are very well-chosen. ... this book will expand your horizons, but you should already have a good knowledge of algebra and of classical number theory before you begin.” (Allen Stenger, MAA Reviews, maa.org, July, 2016)
Críticas
J.-P. Serre A Course in Arithmetic "The book is carefully writtena "in particular very much self-contained. As was the intention of the author, it is easily accessible to graduate or even undergraduate students, yet even the advanced mathematician will enjoy reading it. The last chapter, more difficult for the beginner, is an introduction to contemporary problems."a "AMERICAN SCIENTIST
"Sobre este título" puede pertenecer a otra edición de este libro.
- EditorialSpringer
- Año de publicación1978
- ISBN 10 0387900403
- ISBN 13 9780387900407
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de edición5
- Número de páginas132
- Contacto del fabricanteno disponible
EUR 32,75
EUR 18,21 gastos de envío desde Estados Unidos de America a España
Destinos, gastos y plazos de envíoComprar nuevo
Ver este artículo
EUR 64,19
EUR 11,00 gastos de envío desde Alemania a España
Destinos, gastos y plazos de envío
Resultados de la búsqueda para A Course in Arithmetic: 7 (Graduate Texts in Mathematics)
Imagen de archivo
A Course in Arithmetic
Publicado por
Springer New York, 1978
ISBN 10: 0387900403
ISBN 13: 9780387900407
Antiguo o usado
Tapa dura
Librería: Better World Books, Mishawaka, IN, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: Good. 5th Edition. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. Nº de ref. del artículo: GRP93017730
Cantidad disponible: 2 disponibles
Imagen del vendedor
Course in Arithmetic
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: As New. Unread book in perfect condition. Nº de ref. del artículo: 671282
Cantidad disponible: 7 disponibles
Imagen de archivo
Course in Arithmetic (Graduate Texts in Mathematics, Vol. 7) (Graduate Texts in Mathematics, 7)
Publicado por
Springer, Berlin, 1973
ISBN 10: 0387900403
ISBN 13: 9780387900407
Antiguo o usado
Tapa dura
Librería: Book Bear, West Brookfield, MA, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Hardcover. Condición: Good. 117 pp. Tightly bound. Corners not bumped. No ownership markings. Published without dust jacket. NOTE: The reason for the lower "good" rating is because the boards show some discoloration from age and use. The spine shows some fading. I saw some erasable pencil notations on one or two pages but left them as they appear to be a correction to an equation. This copy is smyth sewn. Smyth sewing is a method of bookbinding where groups of folded pages (referred to as signatures) are stitched together using binder thread. Each folded signature is sewn together individually with multiple stitches and then joined with other signatures to create the complete book block. This is the traditional and best method of bookbinding. Nº de ref. del artículo: 031533
Cantidad disponible: 1 disponibles
Imagen del vendedor
A Course in Arithmetic
Publicado por
Springer New York Nov 1978, 1978
ISBN 10: 0387900403
ISBN 13: 9780387900407
Nuevo
Buch
Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses 'analytic' methods (holomor phic functions). Chapter VI gives the proof of the 'theorem on arithmetic progressions' due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors. 132 pp. Englisch. Nº de ref. del artículo: 9780387900407
Cantidad disponible: 2 disponibles
Imagen del vendedor
A Course in Arithmetic
Impresión bajo demandaLibrería: moluna, Greven, Alemania
Calificación del vendedor: 5 de 5 estrellas
Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some . Nº de ref. del artículo: 5911579
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
A Course in Arithmetic (Graduate Texts in Mathematics, Vol. 7) (Graduate Texts in Mathematics, 7)
Librería: California Books, Miami, FL, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: I-9780387900407
Cantidad disponible: Más de 20 disponibles
Imagen de archivo
A Course in Arithmetic (Graduate Texts in Mathematics, Vol. 7) (Graduate Texts in Mathematics, 7)
Librería: Ria Christie Collections, Uxbridge, Reino Unido
Calificación del vendedor: 5 de 5 estrellas
Condición: New. In English. Nº de ref. del artículo: ria9780387900407_new
Cantidad disponible: Más de 20 disponibles
Imagen del vendedor
Course in Arithmetic
Librería: GreatBookPrices, Columbia, MD, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Nº de ref. del artículo: 671282-n
Cantidad disponible: 7 disponibles
Imagen del vendedor
A Course in Arithmetic
Publicado por
Springer New York, Springer New York, 1978
ISBN 10: 0387900403
ISBN 13: 9780387900407
Nuevo
Tapa dura
Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Buch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is divided into two parts. The first one is purely algebraic. Its objective is the classification of quadratic forms over the field of rational numbers (Hasse-Minkowski theorem). It is achieved in Chapter IV. The first three chapters contain some preliminaries: quadratic reciprocity law, p-adic fields, Hilbert symbols. Chapter V applies the preceding results to integral quadratic forms of discriminant ± I. These forms occur in various questions: modular functions, differential topology, finite groups. The second part (Chapters VI and VII) uses 'analytic' methods (holomor phic functions). Chapter VI gives the proof of the 'theorem on arithmetic progressions' due to Dirichlet; this theorem is used at a critical point in the first part (Chapter Ill, no. 2.2). Chapter VII deals with modular forms, and in particular, with theta functions. Some of the quadratic forms of Chapter V reappear here. The two parts correspond to lectures given in 1962 and 1964 to second year students atthe Ecole Normale Superieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors. Nº de ref. del artículo: 9780387900407
Cantidad disponible: 1 disponibles
Imagen de archivo
Graduate Texts in Mathematics
Librería: Moe's Books, Berkeley, CA, Estados Unidos de America
Calificación del vendedor: 4 de 5 estrellas
Hard cover. Condición: Good. No jacket. Cover is shelf worn and slightly smudged, not affecting legibility. Spine is shaken, but binding is secure. Inside is clean, bright, and unmarked. Nº de ref. del artículo: 1142053
Cantidad disponible: 1 disponibles