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The 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 +
Produkt The Arithmetic of Elliptic Curves (Silverman Joseph H.)(Pevná vazba) má přiřazen EAN kód 9780387094939.
Kategorie | Knihy |
EAN | 9780387094939 |
The 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
This book uses the beautiful theory of elliptic curves to introduce the reader to some of the deeper aspects of number theory. It assumes only a knowledge of the basic algebra, complex analysis, and topology usually taught in first-year graduate courses.An elliptic curve is a plane curve defined by
This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. The topics covered include: elliptic curves as complex tori and as algebraic curves, modular curves as Riemann surfaces and as algebraic curves, Hecke
This is a textbook about classical elementary number theory and elliptic curves. The first part discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography, computation, and deep open research problems. The second part is about
This introduction to the singularly perturbed methods in the nonlinear elliptic partial differential equations emphasises the existence and local uniqueness of solutions exhibiting concentration property. The authors avoid using sophisticated estimates and explain the main techniques by thoroughly
Written by leaders of qualitative methodology and edited by one of the biggest names in the field, this book provides up-to-date and interdisciplinary insight into a range of qualitative methods. Bringing together different perspectives, contributors discuss theoretical underpinnings of these
French flower painter Pierre-Joseph Redout (1759-1840) devoted himself exclusively to capturing the diversity of flowering plants in watercolor paintings which were then published as copper engravings, with careful botanical descriptions. The darling of wealthy Parisian patrons including
Presents more than 1400 stress-strain curves from authoritative sources. The presentation of the curves is normalized to aid making comparisons among materialsThis second edition contains over 1400 curves. All diagrams include metric (SI) units, and many also include U.S. customary
A lavishly illustrated book that explores the language of curves that spans the human body, science, engineering, and art Curves are seductive. These smooth, organic lines and surfaces--like those of the human body--appeal to us in an instinctive, visceral way that straight lines or the perfect
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Sir Joseph Banks (1743-1820)--the unofficial first director of the Royal Botanic Gardens, Kew--was a peerless scientific adventurer and pioneer. Not only did he reveal the floral wonders of the South Pacific, New Zealand, and Australia to European eyes, but he set Kew Gardens on its path to
Subject to passionate controversy during his lifetime, the work of Joseph Beuys is now considered one of the most significant and influential contributions to twentieth-century fine arts.The Essential Joseph Beuys locates the artist's oeuvre as he saw it: part of a larger, philosophically based
Reparative Therapy of Male Homosexuality is the first of a series of books by the late Dr. Joseph Nicolosi, originator of Reparative Therapy (TM). In this groundbreaking book, Dr. Nicolosi describes the patterns of family relationships--particularly the 'Triadic Narcissistic Relationship'--which so
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'This is the first book that promises to tell the deep, dark secrets of computer arithmetic, and it delivers in spades. It contains every trick I knew plus many, many more. A godsend for library developers, compiler writers, and lovers of elegant hacks, it deserves a spot on your shelf right next
The first monograph on one of today's most celebrated architects, renowned for designing interiors that combine minimalism with classic French style. When describing a space that intertwines both minimalism and elegance, the name Joseph Dirand immediately comes to mind. The son of Jacques Dirand,
From the author of the definitive biography of Fyodor Dostoevsky, never-before-published lectures that provide an accessible introduction to the Russian writer's major works Joseph Frank (1918-2013) was perhaps the most important Dostoevsky biographer, scholar, and critic of his time. His
Josephus, soldier, statesman, historian, was a Jew born at Jerusalem about 37 CE. A man of high descent, he early became learned in Jewish law and Greek literature and was a Pharisee. After pleading in Rome the cause of some Jewish priests he returned to Jerusalem and in 66 tried to prevent revolt