Excellent intro to basics of algebraic number theory. Gausian primes; polynomials over a field; algebraic number fields; algebraic integers and integral bases; uses of arithmetic in algebraic number fields; the fundamental theorem of ideal theory and its consequences; ideal classes and class numbers; Fermat conjecture. 1975 edition.
| ||||||||||||||||||
Book Description
Special Offers and Product Promotions
- This item is eligible for our 4-for-3 promotion. Eligible products include select Books and Home & Garden items. Buy any 4 eligible items and get the lowest-priced item free. Here's how (restrictions apply)
Frequently Bought Together
Product Details
Would you like to update product info or give feedback on images?
|
More About the Authors
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
Share your thoughts with other customers:
|
||||||||||||||||||||||
|
Most Helpful Customer Reviews
11 of 12 people found the following review helpful:
3.0 out of 5 stars
underdeveloped and outdated,
This review is from: The Theory of Algebraic Numbers (Carus Mathematical Monographs, Volume 9) (Hardcover)
This review refers to the 1965 Hardcover version of the book.It's quite apparent that the 40 years that have passed since this book was printed have very much dated it's content. The definitions of many key concepts (such as an ideal) contain the right ideas, but are not formulated in the modern viewpoint. These, however are only minor setbacks. The main flaw of this book is its subject matter. There are 11 chapters, and it was not until the eighth that the ideas start getting deeper. Even these last 4 chapters do not delve very far into the heart of things. The text is written with the reader in mind (almost excessively so). Useful equations are clearly labeled and the steps in the proof are clearly outlined, though sometimes to an unnecessary degree. I would recommend this book for a mathematics hobbyist, or perhaps an undergraduate number theory course. For anyone with a stronger background, they wil not glean much.
6 of 8 people found the following review helpful:
3.0 out of 5 stars
A Strong Introduction,
By
This review is from: The Theory of Algebraic Numbers (Dover Books on Mathematics) (Paperback)
Proceeding from the Fundamental Theorem of Arithmetic, into Fermat's Theory for Gaussian Primes, this book provides a very strong introduction for the advanced undergraduate or beginning graduate student to algebraic number theory. The book also covers polynomials and symmetric functions, algebraic numbers, integral bases, ideals, congruences and norms, and the UFT.
Share your thoughts with other customers: Create your own review
|
|
Inside This Book
(learn more)
Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
27
books
cite this book:
See all 27 books citing this book
- Field Theory and Its Classical Problems (Carus Mathematical Monographs ; No. 19) (Mathematical Association of America Textbooks) by Charles Robert Hadlock in Front Matter, and page 58
- Introductory Algebraic Number Theory by Saban Alaca in Back Matter
- Topics in Algebra by I. N. Herstein on page 259
- Representations and Characters of Groups by Gordon Douglas James in Back Matter
- An Introduction to Symbolic Dynamics and Coding by Douglas Lind in Back Matter
See all 27 books citing this book
What Other Items Do Customers Buy After Viewing This Item?
Tags Customers Associate with This Product(What's this?)Click on a tag to find related items, discussions, and people.
|
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
Listmania!
|
|
So You'd Like to...
|
|
