A Scrapbook of Complex Curve Theory

Author: C. Herbert Clemens

Publisher: Springer Science & Business Media

ISBN: 1468470000

Category: Mathematics

Page: 196

View: 7526

This is a book of "impressions" of a journey through the theory of com plex algebraic curves. It is neither self-contained, balanced, nor particularly tightly organized. As with any notebook made on a journey, what appears is that which strikes the writer's fancy. Some topics appear because of their compelling intrinsic beauty. Others are left out because, for all their impor tance, the traveler found them boring or was too dull or lazy to give them their due. Looking back at the end of the journey, one can see that a common theme in fact does emerge, as is so often the case; that theme is the theory of theta functions. In fact very much of the material in the book is prepara tion for our study of the final topic, the so-called Schottky problem. More than once, in fact, we tear ourselves away from interesting topics leading elsewhere and return to our main route.
Posted in Mathematics

Elliptic Curves

Number Theory and Cryptography, Second Edition

Author: Lawrence C. Washington

Publisher: CRC Press

ISBN: 9781420071474

Category: Mathematics

Page: 536

View: 2598

Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second Edition develops the theory of elliptic curves to provide a basis for both number theoretic and cryptographic applications. With additional exercises, this edition offers more comprehensive coverage of the fundamental theory, techniques, and applications of elliptic curves. New to the Second Edition Chapters on isogenies and hyperelliptic curves A discussion of alternative coordinate systems, such as projective, Jacobian, and Edwards coordinates, along with related computational issues A more complete treatment of the Weil and Tate–Lichtenbaum pairings Doud’s analytic method for computing torsion on elliptic curves over Q An explanation of how to perform calculations with elliptic curves in several popular computer algebra systems Taking a basic approach to elliptic curves, this accessible book prepares readers to tackle more advanced problems in the field. It introduces elliptic curves over finite fields early in the text, before moving on to interesting applications, such as cryptography, factoring, and primality testing. The book also discusses the use of elliptic curves in Fermat’s Last Theorem. Relevant abstract algebra material on group theory and fields can be found in the appendices.
Posted in Mathematics

Algebraic Curves and Riemann Surfaces

Author: Rick Miranda

Publisher: American Mathematical Soc.

ISBN: 0821802682

Category: Mathematics

Page: 390

View: 7875

The book was easy to understand, with many examples. The exercises were well chosen, and served to give further examples and developments of the theory. --William Goldman, University of Maryland In this book, Miranda takes the approach that algebraic curves are best encountered for the first time over the complex numbers, where the reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves are presented in the first chapters. In this way, the book begins as a primer on Riemann surfaces, with complex charts and meromorphic functions taking center stage. But the main examples come from projective curves, and slowly but surely the text moves toward the algebraic category. Proofs of the Riemann-Roch and Serre Duality Theorems are presented in an algebraic manner, via an adaptation of the adelic proof, expressed completely in terms of solving a Mittag-Leffler problem. Sheaves and cohomology are introduced as a unifying device in the latter chapters, so that their utility and naturalness are immediately obvious. Requiring a background of one semester of complex variable theory and a year of abstract algebra, this is an excellent graduate textbook for a second-semester course in complex variables or a year-long course in algebraic geometry.
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Ebene algebraische Kurven

Author: Egbert Brieskorn,Horst Knörrer

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 964

View: 7612

Posted in Mathematics

Choice

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Academic libraries

Page: N.A

View: 2059

Posted in Academic libraries

Combined Membership List

Author: American Mathematical Society

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 9065

Lists for 19 include the Mathematical Association of America, and 1955- also the Society for Industrial and Applied Mathematics.
Posted in Mathematics

Library Journal

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Libraries

Page: N.A

View: 8779

Includes, beginning Sept. 15, 1954 (and on the 15th of each month, Sept.-May) a special section: School library journal, ISSN 0000-0035, (called Junior libraries, 1954-May 1961). Also issued separately.
Posted in Libraries

Mathematical Reviews

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 9878

View: 6275

Posted in Mathematics

ABPR

Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 3005

Posted in American literature

Subject Catalog

Author: Library of Congress

Publisher: N.A

ISBN: N.A

Category:

Page: N.A

View: 3199

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Subject Guide to Books in Print

An Index to the Publishers' Trade List Annual

Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 9560

Posted in American literature

Die Evolution der Physik

Author: Albert Einstein,Leopold Infeld

Publisher: N.A

ISBN: 9783866470842

Category:

Page: 320

View: 3082

Allgemeinverständliche Einführung in die Probleme der modernen theoretischen Physik (Relativitäts- und Quantentheorie). Ein klassisches Werk der Physik-Literatur.
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