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The Resource Elliptic curves

Elliptic curves

Label
Elliptic curves
Title
Elliptic curves
Creator
Subject
Language
eng
Summary
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
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Husemöller, Dale
Dewey number
516.3/52
Illustrations
illustrations
Index
index present
LC call number
QA567
LC item number
.H897 2004
Literary form
non fiction
Nature of contents
bibliography
Series statement
Graduate texts in mathematics
Series volume
111
http://library.link/vocab/subjectName
  • Curves, Elliptic
  • Curves, Algebraic
  • Group schemes (Mathematics)
Label
Elliptic curves
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages [465]-478) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
49672279
Dimensions
25 cm
Edition
  • 2nd ed. /
  • Dale Husemöller ; with appendices by Otto Forster, Ruth Lawrence, and Stefan Theisen.
Extent
xxi, 487 pages
Isbn
9780387954905
Isbn Type
(alk. paper)
Lccn
2002067016
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)49672279
Label
Elliptic curves
Publication
Bibliography note
Includes bibliographical references (pages [465]-478) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Control code
49672279
Dimensions
25 cm
Edition
  • 2nd ed. /
  • Dale Husemöller ; with appendices by Otto Forster, Ruth Lawrence, and Stefan Theisen.
Extent
xxi, 487 pages
Isbn
9780387954905
Isbn Type
(alk. paper)
Lccn
2002067016
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)49672279

Library Locations

    • Thomas Jefferson LibraryBorrow it
      1 University Blvd, St. Louis, MO, 63121, US
      38.710138 -90.311107
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