Items related to Elliptic Curves (Graduate Texts in Mathematics)
Synopsis
This book is an introduction to the theory of elliptic curves, ranging from its most elementary aspects to current research. This manuscript grew out of Tate's Haverford Lectures. For the second edition, the author has written three new chapters and there are also two new appendices which were written by S. Theisen and O. Forster.
"synopsis" may belong to another edition of this title.
From the Back Cover
This book is an introduction to the theory of elliptic curves, ranging from elementary topics to current research. The first chapters, which grew out of Tate's Haverford Lectures, cover the arithmetic theory of elliptic curves over the field of rational numbers. This theory is then recast into the powerful and more general language of Galois cohomology and descent theory. An analytic section of the book includes such topics as elliptic functions, theta functions, and modular functions. Next, the book discusses the theory of elliptic curves over finite and local fields and provides a survey of results in the global arithmetic theory, especially those related to the conjecture of Birch and Swinnerton-Dyer.
This new edition contains three new chapters. The first is an outline of Wiles's proof of Fermat's Last Theorem. The two additional chapters concern higher-dimensional analogues of elliptic curves, including K3 surfaces and Calabi-Yau manifolds. Two new appendices explore recent applications of elliptic curves and their generalizations. The first, written by Stefan Theisen, examines the role of Calabi-Yau manifolds and elliptic curves in string theory, while the second, by Otto Forster, discusses the use of elliptic curves in computing theory and coding theory.
About the First Edition:
"All in all the book is well written, and can serve as basis for a student seminar on the subject."
-G. Faltings, Zentralblatt
"About this title" may belong to another edition of this title.
Other Popular Editions of the Same Title
Search results for Elliptic Curves (Graduate Texts in Mathematics)
Seller Image
Elliptic Curves
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 14401933-n
Quantity: Over 20 available
Stock Image
Elliptic Curves (Graduate Texts in Mathematics)
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # ABLIING23Mar2411530294634
Quantity: Over 20 available
Stock Image
Elliptic Curves (Graduate Texts in Mathematics)
Seller: California Books, Miami, FL, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # I-9781441930255
Quantity: Over 20 available
Stock Image
Elliptic Curves (Graduate Texts in Mathematics)
Seller: Chiron Media, Wallingford, United Kingdom
Seller rating 4 out of 5 stars
Paperback. Condition: New. Seller Inventory # 6666-IUK-9781441930255
Quantity: 10 available
Seller Image
Elliptic Curves
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 14401933-n
Quantity: Over 20 available
Seller Image
Elliptic Curves
Published by
Springer New York Nov 2010, 2010
ISBN 10: 1441930256
ISBN 13: 9781441930255
New
Taschenbuch
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -There are three new appendices, one by Stefan Theisen on the role of Calabi- Yau manifolds in string theory and one by Otto Forster on the use of elliptic curves in computing theory and coding theory. In the third appendix we discuss the role of elliptic curves in homotopy theory. In these three introductions the reader can get a clue to the far-reaching implications of the theory of elliptic curves in mathematical sciences. During the nal production of this edition, the ICM 2002 manuscript of Mike Hopkins became available. This report outlines the role of elliptic curves in ho- topy theory. Elliptic curves appear in the form of the Weierstasse equation and its related changes of variable. The equations and the changes of variable are coded in an algebraic structure called a Hopf algebroid, and this Hopf algebroid is related to a cohomology theory called topological modular forms. Hopkins and his coworkers have used this theory in several directions, one being the explanation of elements in stable homotopy up to degree 60. In the third appendix we explain how what we described in Chapter 3 leads to the Weierstrass Hopf algebroid making a link with Hopkins' paper. 516 pp. Englisch. Seller Inventory # 9781441930255
Quantity: 2 available
Stock Image
Elliptic Curves
Published by
Springer-Verlag New York Inc., 2010
ISBN 10: 1441930256
ISBN 13: 9781441930255
New
Paperback / softback
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
Paperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 793. Seller Inventory # C9781441930255
Quantity: Over 20 available
Seller Image
Elliptic Curves
Seller: moluna, Greven, Germany
Seller rating 4 out of 5 stars
Condition: New. Seller Inventory # 4173488
Quantity: Over 20 available
Seller Image
Elliptic Curves
Published by
Springer New York, Springer US Nov 2010, 2010
ISBN 10: 1441930256
ISBN 13: 9781441930255
New
Taschenbuch
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. Neuware -There are three new appendices, one by Stefan Theisen on the role of Calabi¿ Yau manifolds in string theory and one by Otto Forster on the use of elliptic curves in computing theory and coding theory. In the third appendix we discuss the role of elliptic curves in homotopy theory. In these three introductions the reader can get a clue to the far-reaching implications of the theory of elliptic curves in mathematical sciences. During the nal production of this edition, the ICM 2002 manuscript of Mike Hopkins became available. This report outlines the role of elliptic curves in ho- topy theory. Elliptic curves appear in the form of the Weierstasse equation and its related changes of variable. The equations and the changes of variable are coded in an algebraic structure called a Hopf algebroid, and this Hopf algebroid is related to a cohomology theory called topological modular forms. Hopkins and his coworkers have used this theory in several directions, one being the explanation of elements in stable homotopy up to degree 60. In the third appendix we explain how what we described in Chapter 3 leads to the Weierstrass Hopf algebroid making a link with Hopkins¿ paper.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 516 pp. Englisch. Seller Inventory # 9781441930255
Quantity: 2 available
Seller Image
Elliptic Curves
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 14401933
Quantity: Over 20 available