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Atsushi Moriwaki Shu Kawaguchi Hideaki Ikoma The Mordell Conjecture (Hardback)
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eBay item number:335186589720
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- Book Title
- The Mordell Conjecture
- Publication Name
- Mordell Conjecture : a Complete Proof from Diophantine Geometry
- Title
- The Mordell Conjecture
- Subtitle
- A Complete Proof from Diophantine Geometry
- Format
- Hardcover
- EAN
- 9781108845953
- ISBN
- 9781108845953
- Publisher
- Cambridge University Press
- Genre
- Science Nature & Math
- Release Year
- 2022
- Release Date
- 03/02/2022
- Language
- English
- Country/Region of Manufacture
- GB
- Item Height
- 0.6in
- Item Length
- 9.3in
- Item Width
- 6.2in
- Item Weight
- 380g
- Series
- Cambridge Tracts in Mathematics Ser.
- Publication Year
- 2022
- Type
- Textbook
- Features
- New Edition
- Number of Pages
- 150 Pages
About this product
Product Information
The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of genus at least two has only finitely many rational points. This book provides a self-contained and detailed proof of the Mordell conjecture following the papers of Bombieri and Vojta. Also acting as a concise introduction to Diophantine geometry, the text starts from basics of algebraic number theory, touches on several important theorems and techniques (including the theory of heights, the Mordell-Weil theorem, Siegel's lemma and Roth's lemma) from Diophantine geometry, and culminates in the proof of the Mordell conjecture. Based on the authors' own teaching experience, it will be of great value to advanced undergraduate and graduate students in algebraic geometry and number theory, as well as researchers interested in Diophantine geometry as a whole.
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
1108845959
ISBN-13
9781108845953
eBay Product ID (ePID)
18050094800
Product Key Features
Publication Name
Mordell Conjecture : a Complete Proof from Diophantine Geometry
Format
Hardcover
Language
English
Features
New Edition
Publication Year
2022
Series
Cambridge Tracts in Mathematics Ser.
Type
Textbook
Number of Pages
150 Pages
Dimensions
Item Length
9.3in
Item Height
0.6in
Item Width
6.2in
Additional Product Features
Series Volume Number
Series Number 226
Lc Classification Number
Qa565.M847 2022
Edition Description
New Edition
Reviews
'This lucid compact book provides a short and direct access to Vojta-Bombieri's proof of Faltings's celebrated theorem. The text itself is mostly self-contained, with all needed results on diophantine geometry presented without unnecessary abstraction, in as concrete a manner as possible. Without doubt, this excellent course will become a standard for anyone wishing to be introduced to the topic of rational points on curves over the rational numbers, and to one of the crowning achievements of the mathematics of our time.' Vincent Maillot, Centre National de la Recherche Scientifique (CNRS), Paris
Table of Content
1. What is the Mordell conjecture?; 2. Some basics of algebraic number theory; 3. Theory of heights; 4. Preliminaries; 5. The proof of Falthing's theorem.
Topic
General, Number Theory
Lccn
2021-024960
Dewey Decimal
516.352
Intended Audience
College Audience
Dewey Edition
23
Illustrated
Yes
Genre
Mathematics
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