# A Course in Arithmetic (Graduate Texts in Mathematics, Vol. 7)

## J-P. Serre

4,38 valoración promedio
( 24 valoraciones por Goodreads )

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.

Language Notes:

Text: English (translation)
Original Language: French

Review:

“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)

"Sobre este título" puede pertenecer a otra edición de este libro.

Comprar nuevo Ver libro
EUR 14,66

Gastos de envío: EUR 3,59
De India a Estados Unidos de America

Destinos, gastos y plazos de envío

### Los mejores resultados en AbeBooks

Edición internacional

## 1.A Course In Arithmatic, Sie (Pb-2014)

ISBN 10: 0387900403 ISBN 13: 9780387900407
Edición internacional
Librería
bookscollection
(Delhi, DELHI, India)
Valoración

Descripción Estado de conservación: Brand New. PAPERBACK,Book Condition New, International Edition. We Do not Ship APO FPO AND PO BOX. Cover Image & ISBN may be different from US edition but contents as US Edition. Printing in English language.NO CD AND ACCESS CODE. Quick delivery by USPS/UPS/DHL/FEDEX/ARAMEX ,Customer satisfaction guaranteed. We may ship the books from Asian regions for inventory purpose. Nº de ref. de la librería ABEADH##1294

Comprar nuevo
EUR 14,66
Convertir moneda
Gastos de envío: EUR 3,59
De India a Estados Unidos de America
Destinos, gastos y plazos de envío
Edición internacional

## 2.A COURSE IN ARITHMATIC, SIE (EXCLUSIVE)

ISBN 10: 0387900403 ISBN 13: 9780387900407
Edición internacional
Librería
firstbookstore
(New Delhi, India)
Valoración

Descripción Estado de conservación: Brand New. Brand New Paperback International Edition, Perfect Condition. Printed in English. Excellent Quality, Service and customer satisfaction guaranteed!. Nº de ref. de la librería AIND-36943

Comprar nuevo
EUR 21,04
Convertir moneda
Gastos de envío: GRATIS
De India a Estados Unidos de America
Destinos, gastos y plazos de envío
Edición internacional

## 3.A Course in Arithmetic

ISBN 10: 0387900403 ISBN 13: 9780387900407
Nuevos Paperback Primera edición Cantidad: 2
Edición internacional
Librería
ZerichSpace
(antioch, CA, Estados Unidos de America)
Valoración

Descripción Paperback. Estado de conservación: New. New condition. Softcover book, 1st Edition. (Read Description Before Buying), This is an international Edition. Black and White Book. ISBN or covers May Be Different From US Edition. Book may have Restricted Sales Disclaimer Wordings printed on cover. Books May Be Shipped From Overseas as per stock status. Nº de ref. de la librería 759804

Comprar nuevo
EUR 17,89
Convertir moneda
Gastos de envío: EUR 3,41
Destinos, gastos y plazos de envío

## 4.A Course in Arithmetic

ISBN 10: 0387900403 ISBN 13: 9780387900407
Edición internacional
Librería
PRIORITY BOOKS
(springfield, VA, Estados Unidos de America)
Valoración

Descripción Paperback. Estado de conservación: New. Softcover Book, New Condition, Fast Shipping. Ready in Stock. 1st Edition. [Please Read Carefully Before Buying], This Is An International Edition. Printed In Black and White. 118 Pages, Book Cover And ISBN No May Be Different From US Edition. Restricted Sales Disclaimer Wordings Not For Sales In USA And Canada May Be Printed On The Cover Of The Book. Standard Shipping 7-14 Business Days. Expedited Shiping 4-8 Business Days. ***WE DO NOT ENTERTAIN BULK ORDERS.*** The Books May Be Ship From Overseas For Inventory Purpose. Nº de ref. de la librería 401412

Comprar nuevo
EUR 17,91
Convertir moneda
Gastos de envío: EUR 3,41
Destinos, gastos y plazos de envío

## 5.A Course in Arithmetic

ISBN 10: 0387900403 ISBN 13: 9780387900407
Edición internacional
Librería
Nick Book House
(fresno, CA, Estados Unidos de America)
Valoración

Descripción Paperback. Estado de conservación: New. New, Softcover International Edition, Printed in Black and White, Different ISBN, Same Content As US edition, Book Cover may be Different, in English Language. Nº de ref. de la librería 26352

Comprar nuevo
EUR 17,93
Convertir moneda
Gastos de envío: EUR 3,41
Destinos, gastos y plazos de envío
Edición internacional

## 6.A COURSE IN ARITHMATIC, SIE (EXCLUSIVE)

ISBN 10: 0387900403 ISBN 13: 9780387900407
Edición internacional
Librería
(STERLING HEIGHTS, MI, Estados Unidos de America)
Valoración

Descripción Estado de conservación: New. Brand New Paperback International Edition.We Ship to PO BOX Address also. EXPEDITED shipping option also available for faster delivery. Nº de ref. de la librería AUSBNEW-36943

Comprar nuevo
EUR 23,13
Convertir moneda
Gastos de envío: GRATIS
Destinos, gastos y plazos de envío
Edición internacional

## 7.Course In Arithmatic

Editorial: Springer India
ISBN 10: 0387900403 ISBN 13: 9780387900407
Edición internacional
Librería
TEXTBOOKSZONE
(NEW DELHI, India)
Valoración

Descripción Springer India. Estado de conservación: Brand New. This is Brand New International Edition, Paperback, Different ISBN with same content, Excellent Quality & Shrink Wrap. English language. Perfect condition. Please contact us for any questions regarding this book.!!. Nº de ref. de la librería TBZ-1538

Comprar nuevo
EUR 24,48
Convertir moneda
Gastos de envío: GRATIS
De India a Estados Unidos de America
Destinos, gastos y plazos de envío

## 8.A Course in Arithmetic

Editorial: Springer New York 1978-11-29, New York, NY (1978)
ISBN 10: 0387900403 ISBN 13: 9780387900407
Nuevos Tapa dura Cantidad: > 20
Librería
Blackwell's
(Oxford, OX, Reino Unido)
Valoración

Descripción Springer New York 1978-11-29, New York, NY, 1978. hardback. Estado de conservación: New. Nº de ref. de la librería 9780387900407

Comprar nuevo
EUR 35,96
Convertir moneda
Gastos de envío: EUR 3,29
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 9.A Course in Arithmetic (Hardback)

Editorial: Springer-Verlag New York Inc., United States (1996)
ISBN 10: 0387900403 ISBN 13: 9780387900407
Librería
The Book Depository
(London, Reino Unido)
Valoración

Descripción Springer-Verlag New York Inc., United States, 1996. Hardback. Estado de conservación: New. Language: English . Brand New Book. 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. 1st Corrected ed. 1973. Corr. 3rd printing 1996. Nº de ref. de la librería AAZ9780387900407

Comprar nuevo
EUR 40,77
Convertir moneda
Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío

## 10.A Course in Arithmetic (Hardback)

Editorial: Springer-Verlag New York Inc., United States (1996)
ISBN 10: 0387900403 ISBN 13: 9780387900407
Librería
The Book Depository US
(London, Reino Unido)
Valoración

Descripción Springer-Verlag New York Inc., United States, 1996. Hardback. Estado de conservación: New. Language: English . Brand New Book. 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. 1st Corrected ed. 1973. Corr. 3rd printing 1996. Nº de ref. de la librería AAZ9780387900407

Comprar nuevo
EUR 40,84
Convertir moneda
Gastos de envío: GRATIS
De Reino Unido a Estados Unidos de America
Destinos, gastos y plazos de envío