The Resource Elliptic curves
Elliptic curves
Resource Information
The item Elliptic curves represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Elliptic curves represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of MissouriSt. Louis Libraries.
This item is available to borrow from 1 library branch.
 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 SwinnertonDyer. 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 higherdimensional analogues of elliptic curves, including K3 surfaces and CalabiYau manifolds. Two new appendices explore recent applications of elliptic curves and their generalizations. The first, written by Stefan Theisen, examines the role of CalabiYau 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
 Language
 eng
 Edition

 2nd ed. /
 Dale Husemöller ; with appendices by Otto Forster, Ruth Lawrence, and Stefan Theisen.
 Extent
 xxi, 487 pages
 Isbn
 9780387954905
 Label
 Elliptic curves
 Title
 Elliptic curves
 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 SwinnertonDyer. 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 higherdimensional analogues of elliptic curves, including K3 surfaces and CalabiYau manifolds. Two new appendices explore recent applications of elliptic curves and their generalizations. The first, written by Stefan Theisen, examines the role of CalabiYau 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
 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
 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
 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
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.umsl.edu/portal/Ellipticcurves/ldLw841HvBM/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.umsl.edu/portal/Ellipticcurves/ldLw841HvBM/">Elliptic curves</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.umsl.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.umsl.edu/">University of MissouriSt. Louis Libraries</a></span></span></span></span></div>