Picture 1 of 1
Picture 1 of 1
The Theory of Classical Valuations by Paulo Ribenboim (English) Hardcover Book
US $126.24
ApproximatelyAU $190.21
Condition:
3 available
Postage:
Located in: Fairfield, Ohio, United States
Delivery:
Estimated between Tue, 9 Jul and Fri, 19 Jul to 43230
Returns:
Payments:
Shop with confidence
Seller assumes all responsibility for this listing.
eBay item number:395157021925
Item specifics
- Condition
- ISBN-13
- 9780387985251
- Book Title
- The Theory of Classical Valuations
- ISBN
- 9780387985251
- Subject Area
- Mathematics
- Publication Name
- Theory of Classical Valuations
- Publisher
- Springer New York
- Item Length
- 9.3 in
- Subject
- Algebra / Abstract
- Publication Year
- 1999
- Series
- Springer Monographs in Mathematics Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Height
- 0.4 in
- Item Weight
- 59.6 Oz
- Item Width
- 6.1 in
- Number of Pages
- Xi, 403 Pages
About this product
Product Information
Kurschak formally introduced the concept of a valuation of a field, as being real valued functions on the set of non-zero elements of the field satisfying certain properties, like the p-adic valuations. Ostrowski, Hasse, Schmidt and others developed this theory. These are the topics which are the object of this book.
Product Identifiers
Publisher
Springer New York
ISBN-10
0387985255
ISBN-13
9780387985251
eBay Product ID (ePID)
451948
Product Key Features
Number of Pages
Xi, 403 Pages
Language
English
Publication Name
Theory of Classical Valuations
Publication Year
1999
Subject
Algebra / Abstract
Type
Textbook
Subject Area
Mathematics
Series
Springer Monographs in Mathematics Ser.
Format
Hardcover
Dimensions
Item Height
0.4 in
Item Weight
59.6 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
98-004349
Reviews
"It is well written, encyclopedic, and authoritative and probably belongs on the shelf of any commutative algebraist or algebraic number theorist."--MATHEMATICAL REVIEWS
Number of Volumes
1 Vol.
Illustrated
Yes
Lc Classification Number
Qa612.33
Table of Content
1 Absolute Values of Fields.- 1.1. First Examples.- 1.2. Generalities About Absolute Values of a Field.- 1.3. Absolute Values of Q.- 1.4. The Independence of Absolute Values.- 1.5. The Topology of Valued Fields.- 1.6. Archimedean Absolute Values.- 1.7. Topological Characterizations of Valued Fields.- 2 Valuations of a Field.- 2.1. Generalities About Valuations of a Field.- 2.2. Complete Valued Fields and Qp.- 3 Polynomials and Henselian Valued Fields.- 3.1. Polynomials over Valued Fields.- 3.2. Henselian Valued Fields.- 4 Extensions of Valuations.- 4.1. Existence of Extensions and General Results.- 4.2. The Set of Extensions of a Valuation.- 5 Uniqueness of Extensions of Valuations and Poly-Complete Fields.- 5.1. Uniqueness of Extensions.- 5.2. Poly-Complete Fields.- 6 Extensions of Valuations: Numerical Relations.- 6.1. Numerical Relations for Valuations with Unique Extension.- 6.2. Numerical Relations in the General Case.- 6.3. Some Interesting Examples.- 6.4. Appendix on p-Groups.- 7 Power Series and the Structure of Complete Valued Fields.- 7.1. Power Series.- 7.2. Structure of Complete Discrete Valued Fields.- 8 Decomposition and Inertia Theory.- 8.1. Decomposition Theory.- 8.2. Inertia Theory.- 9 Ramification Theory.- 9.1. Lower Ramification Theory.- 9.2. Higher Ramification.- 10 Valuation Characterizations of Dedekind Domains.- 10.1. Valuation Properties of the Rings of Algebraic Integers.- 10.2. Characterizations of Dedekind Domains.- 10.3. Characterizations of Valuation Domains.- 11 Galois Groups of Algebraic Extensions of Infinite Degree.- 11.1. Galois Extensions of Infinite Degree.- 11.2. The Abelian Closure of Q.- 12 Ideals, Valuations, and Divisors in Algebraic Extensions of Infinite Degree over Q.- 12.1. Ideals.- 12.2. Valuations, Dedekind Domains, and Examples.- 12.3. Divisors of Algebraic Number Fields of Infinite Degree.- 13 A Glimpse of Krull Valuations.- 13.1. Generalities.- 13.2. Integrally Closed Domains.- 13.3. Suggestions for Further Study.- Appendix Commutative Fields and Characters of Finite Abelian Groups.- A.1. Algebraic Elements.- A.2. Algebraic Elements, Algebraically Closed Fields.- A.3. Algebraic Number Fields.- A.4. Characteristic and Prime Fields.- A.5. Normal Extensions and Splitting Fields.- A.6. Separable Extensions.- A.7. Galois Extensions.- A.8. Roots of Unity.- A.9. Finite Fields.- A.10. Trace and Norm of Elements.- A.11. The Discriminant.- A.12. Discriminant and Resultant of Polynomials.- A.13. Inseparable Extensions.- A.14. Perfect Fields.- A.15. The Theorem of Steinitz.- A.16. Orderable Fields.- A.17. The Theorem of Artin.- A.18. Characters of Finite Abelian Groups.
Copyright Date
1999
Item description from the seller
Seller assumes all responsibility for this listing.
eBay item number:395157021925
Postage and handling
Item location:
Fairfield, Ohio, United States
Posts to:
Afghanistan, Albania, Algeria, Andorra, Angola, Anguilla, Antigua and Barbuda, Argentina, Armenia, Aruba, Australia, Austria, Azerbaijan Republic, Bahamas, Bahrain, Bangladesh, Belgium, Belize, Benin, Bermuda, Bhutan, Bolivia, Bosnia and Herzegovina, Botswana, Brazil, British Virgin Islands, Brunei Darussalam, Bulgaria, Burkina Faso, Burundi, Cambodia, Cameroon, Canada, Cape Verde Islands, Cayman Islands, Central African Republic, Chad, Chile, China, Colombia, Comoros, Cook Islands, Costa Rica, Cyprus, Czech Republic, Côte d'Ivoire (Ivory Coast), Democratic Republic of the Congo, Denmark, Djibouti, Dominica, Dominican Republic, Ecuador, Egypt, El Salvador, Equatorial Guinea, Eritrea, Estonia, Ethiopia, Falkland Islands (Islas Malvinas), Fiji, Finland, France, Gabon Republic, Gambia, Georgia, Germany, Ghana, Gibraltar, Greece, Greenland, Grenada, Guatemala, Guernsey, Guinea, Guinea-Bissau, Guyana, Haiti, Honduras, Hong Kong, Hungary, Iceland, India, Indonesia, Iraq, Ireland, Israel, Italy, Jamaica, Japan, Jersey, Jordan, Kazakhstan, Kenya, Kiribati, Kuwait, Kyrgyzstan, Laos, Latvia, Lebanon, Lesotho, Liberia, Liechtenstein, Lithuania, Luxembourg, Macau, Macedonia, Madagascar, Malawi, Malaysia, Maldives, Mali, Malta, Mauritania, Mauritius, Mayotte, Mexico, Moldova, Monaco, Mongolia, Montenegro, Montserrat, Morocco, Mozambique, Namibia, Nauru, Nepal, Netherlands, Netherlands Antilles, New Zealand, Nicaragua, Niger, Nigeria, Niue, Norway, Oman, Pakistan, Paraguay, Peru, Philippines, Poland, Portugal, Qatar, Republic of Croatia, Republic of the Congo, Romania, Rwanda, Saint Helena, Saint Kitts-Nevis, Saint Lucia, Saint Pierre and Miquelon, Saint Vincent and the Grenadines, San Marino, Saudi Arabia, Senegal, Serbia, Seychelles, Sierra Leone, Singapore, Slovakia, Slovenia, Solomon Islands, Somalia, South Africa, South Korea, Spain, Sri Lanka, Suriname, Svalbard and Jan Mayen, Swaziland, Sweden, Switzerland, Taiwan, Tajikistan, Tanzania, Thailand, Togo, Tonga, Trinidad and Tobago, Tunisia, Turkey, Turkmenistan, Turks and Caicos Islands, Tuvalu, Uganda, United Arab Emirates, United Kingdom, Uruguay, Uzbekistan, Vanuatu, Vatican City State, Vietnam, Wallis and Futuna, Western Sahara, Worldwide, Yemen, Zambia, Zimbabwe
Excludes:
APO/FPO, Alaska/Hawaii, Barbados, Belarus, French Guiana, French Polynesia, Guadeloupe, Libya, Martinique, New Caledonia, Panama, Papua New Guinea, Reunion, Russian Federation, US Protectorates, Ukraine, Venezuela, Western Samoa
| Postage and handling | Each additional item | To | Service | Delivery*See delivery notes |
|---|---|---|---|---|
| Free postage | Free | United States | Economy Shipping | Estimated between Tue, 9 Jul and Fri, 19 Jul to 43230 |
| Handling time |
|---|
| Will usually post within 10 business days of receiving cleared payment. |
| Taxes |
|---|
| Taxes may be applicable at checkout. Learn moreLearn more about paying tax on eBay purchases. |
Sales tax for an item #395157021925
Sales tax for an item #395157021925
Seller collects sales tax for items posted to the following states:
| State | Sales tax rate |
|---|
Return policy
| Item must be returned within | Refund will be given as |
|---|---|
| 30 days after the buyer receives it | Money back |
The buyer is responsible for return postage costs.
You must return items in their original packaging and in the same condition as when you received them. If you don't follow our item condition policy for returnsitem condition policy for returns, you may not receive a full refund.
Refunds by law: In Australia, consumers have a legal right to obtain a refund from a business if the goods purchased are faulty, not fit for purpose or don't match the seller's description. More information at returnsreturns - opens in a new window or tab.
Payment details
Payment methods
Seller Feedback (1,025,636)
i***6 (139)- Feedback left by buyer.
Past 6 months
Verified purchase
Item as described, good price, well packaged, arrived slightly later than hoped (not in time for Christmas ) but the order was placed in a very busy shipping period. No issue with the seller’s speed of response and sending the item. Great seller!
l***a (3517)- Feedback left by buyer.
Past month
Verified purchase
Excellent seller. Timely shipping, safe packing, good communication, great price and as described. Thank you. A+++
o***b (144)- Feedback left by buyer.
Past month
Verified purchase
The seller is one of the best there is - high quality books, reasonable prices, securely packaged.
I do, however, recommend some changes to their shipping - they show a shipper (SortHub) on eBay, but the tracking # they email is for a different carrier. It’s difficult to know where my purchase is.
This time, it was delivered a week late. In the grand scheme of things not a big deal. But it shouldn’t be this difficult to accurately track my purchase.
Product ratings and reviews
More to explore:
- Paulo Coelho Hardcover Fiction Books,
- Paulo Coelho Fiction Books in English,
- Paulo Coelho Paperback Fiction Books in English,
- World literature & Classics Fiction Hardcover Books in English,
- Hardcovers Books in English,
- World literature & Classics Young Adults Fiction Hardcover Books in English,
- Hardcover Books, Comics & Magazines in English,
- Hardcover Antiquarian & Collectable Books in English,
- Harry Potter Fiction Hardcover Books in English,
- Hardcover Fiction & Non-Fiction Books in English