A Course in Arithmetic / Edition 1

Hardcover (Print)
Buy New
Buy New from BN.com
Used and New from Other Sellers
Used and New from Other Sellers
from $25.00
Usually ships in 1-2 business days
(Save 61%)
Other sellers (Hardcover)
  • All (12) from $25.00   
  • New (4) from $50.55   
  • Used (8) from $25.00   


Serre's A Course in Arithmetic is a concentrated, modern introduction to basically three areas of number theory, quadratic forms, Dirichlet's density theorem, and modular forms. The first edition was very well accepted and is now one of the leading introductory texts on the advanced undergraduate or beginning graduate level.
From the reviews: "... The book is carefully written - 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." American Scientist
Read More Show Less

Product Details

  • ISBN-13: 9780387900407
  • Publisher: Springer New York
  • Publication date: 4/18/1973
  • Series: Graduate Texts in Mathematics Series , #7
  • Edition description: 1st Corrected ed. 1973. Corr. 3rd printing 1996
  • Edition number: 1
  • Pages: 118
  • Sales rank: 865,494
  • Product dimensions: 0.44 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

I—Algebraic Methods.- I—Finite fields.- 1—Generalities.- 2—Equations over a finite field.- 3—Quadratic reciprocity law.- Appendix—Another proof of the quadratic reciprocity law.- II — p-adic fields.- 1—The ring Zp and the field Qp.- 2—p-adic equations.- 3—The multiplicative group of Qp.- III—Hilbert symbol.- 1—Local properties.- 2—Global properties.- IV—Quadratic forms over Qp and over Q.- 1—Quadratic forms.- 2—Quadratic forms over Qp.- 3—Quadratic forms over Q.- Appendix—Sums of three squares.- V—Integral quadratic forms with discriminant ± 1.- 1—Preliminaries.- 2—Statement of results.- 3—Proofs.- II—Analytic Methods.- VI—The theorem on arithmetic progressions.- 1—Characters of finite abelian groups.- 2—Dirichlet series.- 3—Zeta function and L functions.- 4—Density and Dirichlet theorem.- VII—Modular forms.- 1—The modular group.- 2—Modular functions.- 3—The space of modular forms.- 4—Expansions at infinity.- 5—Hecke operators.- 6—Theta functions.- Index of Definitions.- Index of Notations.

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star


4 Star


3 Star


2 Star


1 Star


Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation


  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)