• List Price: $139.00
  • Save: $112.37(81%)
Rented from RentU
To Rent, select Shipping State from options above
Due Date: Dec 22, 2014
FREE return shipping at the end of the semester. Access codes and supplements are not guaranteed with rentals.
FREE Shipping on orders over $35.
Used: Good | Details
Sold by RentU
Condition: Used: Good
Comment: Fast shipping from Amazon! Qualifies for Prime Shipping and FREE standard shipping for orders over $35. Overnight, 2 day and International shipping available! Excellent Customer Service.. May not include supplements such as CD, access code or DVD.
Access codes and supplements are not guaranteed with used items.
Add to Cart
Qty:1
  • List Price: $139.00
  • Save: $38.10 (27%)
Only 3 left in stock.
Ships from and sold by Amazon.com.
Gift-wrap available.
Add to Cart
Trade in your item
Get a $5.02
Gift Card.
Have one to sell? Sell on Amazon
Flip to back Flip to front
Listen Playing... Paused   You're listening to a sample of the Audible audio edition.
Learn more
See this image

Primes of the Form x + ny: Fermat, Class Field Theory, and Complex Multiplication Paperback – May 8, 1997

ISBN-13: 978-0471190790 ISBN-10: 0471190799

Buy New
Price: $100.90
Rent
Price: $26.62 - $26.63
6 New from $96.90 18 Used from $33.80
Rent from Amazon Price New from Used from
Hardcover
"Please retry"
$160.97 $50.00
Paperback
"Please retry"
$26.62
$100.90
$96.90 $33.80

Free%20Two-Day%20Shipping%20for%20College%20Students%20with%20Amazon%20Student




NO_CONTENT_IN_FEATURE

Save up to 90% on Textbooks
Rent textbooks, buy textbooks, or get up to 80% back when you sell us your books. Shop Now

Product Details

  • Paperback: 368 pages
  • Publisher: Wiley-Interscience (May 8, 1997)
  • Language: English
  • ISBN-10: 0471190799
  • ISBN-13: 978-0471190790
  • Product Dimensions: 0.8 x 6.1 x 9.2 inches
  • Shipping Weight: 1.3 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #1,869,989 in Books (See Top 100 in Books)

Editorial Reviews

From the Publisher

Provides a general solution to the question of which primes p can be expressed in the form x2 + ny2. Covered first are the special cases considered by Fermat, which involve only quadratic reciprocity and the genus theory of quadratic forms. Further, the book shows how the results of Euler and Gauss can be fully understood only in the context of class field theory. Finally, in order to bring class field theory down to earth, the book explores some of the mignificent formulas of complex multiplication.

From the Back Cover

Modern number theory began with the work of Euler and Gauss to understand and extend the many unsolved questions left behind by Fermat. In the course of their investigations, they uncovered new phenomena in need of explanation, which over time led to the discovery of class field theory and its intimate connection with complex multiplication.

While most texts concentrate on only the elementary or advanced aspects of this story, Primes of the Form x2 + ny2 begins with Fermat and explains how his work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. Further, the book shows how the results of Euler and Gauss can be fully understood only in the context of class field theory. Finally, in order to bring class field theory down to earth, the book explores some of the magnificent formulas of complex multiplication.

The central theme of the book is the story of which primes p can be expressed in the form x2 + ny2. An incomplete answer is given using quadratic forms. A better though abstract answer comes from class field theory, and finally, a concrete answer is provided by complex multiplication. Along the way, the reader is introduced to some wonderful number theory. Numerous exercises and examples are included.

The book is written to be enjoyed by readers with modest mathematical backgrounds. Chapter 1 uses basic number theory and abstract algebra, while chapters 2 and 3 require Galois theory and complex analysis, respectively.

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

5.0 out of 5 stars
5 star
2
4 star
0
3 star
0
2 star
0
1 star
0
See both customer reviews
Share your thoughts with other customers

Most Helpful Customer Reviews

6 of 8 people found the following review helpful By bal gombak on March 1, 2004
Format: Paperback
This is the definitive text on the theory of primes in the form x^2 + ny^2. Problems with simple formulation like this (which primes can be written in that form, and for what n?) make the class field theory interesting and worth understanding. Those with interest in prime numbers would greatly appreciate the topics presented. Recommended for those with a strong background in number theory and algebra.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again
0 of 1 people found the following review helpful By Frank on January 3, 2014
Format: Paperback
This is a great book. But buy the second edition, which is priced at a level which won't oblige you to remortgage your house.
Comment Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback. If this review is inappropriate, please let us know.
Sorry, we failed to record your vote. Please try again

Customer Images

Search

What Other Items Do Customers Buy After Viewing This Item?