The Arithmetic of Elliptic Curves Graduate Texts in Mathematics New Stock

The Arithmetic of Elliptic Curves Graduate Texts in Mathematics New StockThe theory of elliptic curves is distinguished by its long history and by the diversity of the methods that have been used in its study. This book treats the arithmetic theory of elliptic curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the necessary algebro-geometric results, and proceeds with an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, elliptic curves over finite fields, the complex numbers, local fields, and global fields. The last two chapters deal with integral and rational points, including Siegel’s theorem and explicit computations for the curve Y^2 = X^3 + DX. ReviewFrom the reviews of the second edition:"This well-written book covers the basic facts about the geometry and arithmetic of elliptic curves, and is sure to become the standard reference in the subject. It meets the needs of at least three groups of people: students interested in doing research in Diophantine geometry, mathematicians needing a reference for standard facts about elliptic curves, and computer scientists interested in algorithms and needing an introduction to elliptic curves..."-- MATHEMATICAL REVIEWS“The book under review is the second, revised, enlarged, and updated edition of J. Silverman’s meanwhile classical primer of the arithmetic of elliptic curves. … All together, this enlarged and updated version of J. Silverman’s classic ‘The Arithmetic of Elliptic Curves’ significantly increases the unchallenged value of this modern primer as a standard textbook in the field. … This makes the entire text a perfect source for teachers and students, for courses and self-study, and for further studies in the arithmetic of elliptic curves likewise.” (Werner Kleinert, Zentralblatt MATH, Vol. 1194, 2010)“For the second edition of his masterly book, the author considerably updated and improved several results and proofs. … book contains a great many exercises, many of which develop or complement the results from the main body of the book. … The reference list contains 317 items and reflects both classical and recent achievements on the topic. Notes on the exercises are an aid to the reader. … Summarizing, this is an excellent book … . useful both for experienced mathematicians and for graduate students.”­­­ (Vasil' I. Andriĭchuk, Mathematical Reviews, Issue 2010 i)“This is the second edition of an excellent textbook on the arithmetical theory of elliptic curves … . Although there are now a number of good books on this topic it has stood the test of time and become a popular introductory textand a standard reference. … The author has added remarks which point out their significance and connection to those parts of the theory he presents. These will give readers a good start if they want to study one of them.” (Ch. Baxa, Monatshefte für Mathematik, Vol. 164 (3), November, 2011)“The book is written for graduate students … and for researchers interested in standard facts about elliptic curves. … A wonderful textbook on the arithmetic theory of elliptic curves and it is a very popular introduction to the subject. … I recommend this book for anyone interested in the mathematical study of elliptic curves. It is an excellent introduction, elegant and very well written. It is one of the best textbooks to graduate level studies I have ever had contact yet.” (Book Inspections Blog, 2012) Import Duty and Taxes As a Seller, we are unable to anticipate import duties or taxes for buyer country in advance. Our selling price does not include them. So, it is buyers responsibility. Payment We accept payment by Payoneer. Shipping Your order will be shipped within 3-4 business days of receiving payment. In the very unlikely event that your item is lost or damaged during post, then We are responsible and will issue either a full refund or replacement. NOTE: - IMAGES ARE FOR ILLUSTRATIONS ONLY. THE COMPANY MAY CHANGE ITEM DESIGN / PATTERN / PACKAGING FROM TIME TO TIME. WE WILL SHIP THE LATEST STOCK AVAILABLE WITH US. Returns If our product condition is not correct, you can return the product and get a full refund or exchange the product for another one, You can return a product for up to 30 days from the date you purchased it minus shipping and other fees. Feedback Your feedback is important for us. Please contact us if you have any problem with this product, we will solve that problem because we will always be happy to help you. Please Contact me Before open a case or negative feedback. Please don't open a case or leave a negative feedback. Thank you We can't buy happiness, but We can buy something for happiness.