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  • Decomposition of Jacobians by Prym Varieties

    Series series Mathematics and Statistics (R0)
    This monograph studies decompositions of the Jacobian of a smooth projective curve, induced by the action of a finite group, into a product of abelian subvarieties. The authors give a general theorem on how to decompose the Jacobian which works in many cases and apply it for several groups, as for groups of small order and some series of groups. In many cases, these components are given by Prym ... Read more

    $62.99 USD

  • The Making of Scotland and Its History

    This work presents the history of Scotland.The kingdom of Scotland, so far as it could be said to exist at the time of the Norman conquest of England, was of very recent origin and of constantly fluctuating dimensions. It is true that in the earlier half of the ninth century, Kenneth MacAlpin, King of the Scots of Dalriada, overcame the Picts by the help of the Danes, and, in 844, became the first ... Read more

    $4.99 USD

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  • Elliptic Tales

    Curves, Counting, and Number Theory

    A look at one of the most exciting unsolved problems in mathematics todayElliptic Tales describes the latest developments in number theory by looking at one of the most exciting unsolved problems in contemporary mathematics—the Birch and Swinnerton-Dyer Conjecture. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The ... Read more

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  • Schaum's Outline of Complex Variables, 2ed

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  • The Foundations of Geometry (Illustrated)

    The Foundations of GeometryGeometry, like arithmetic, requires for its logical development only a small number of simple, fundamental principles. These fundamental principles are called the axioms of geometry. The choice of the axioms and the investigation of their relations to one another is a problem which, since the time of Euclid, has been discussed in numerous excellent memoirs to be found in ... Read more

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  • Limits, Limits Everywhere

    The Tools of Mathematical Analysis

    A quantity can be made smaller and smaller without it ever vanishing. This fact has profound consequences for science, technology, and even the way we think about numbers. In this book, we will explore this idea by moving at an easy pace through an account of elementary real analysis and, in particular, will focus on numbers, sequences, and series. Almost all textbooks on introductory analysis ... Read more

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  • Real Analysis

    A Historical Approach

    by Saul Stahl ...
    A provocative look at the tools and history of real analysisThis new edition of Real Analysis: A Historical Approach continues to serve as an interesting read for students of analysis. Combining historical coverage with a superb introductory treatment, this book helps readers easily make the transition from concrete to abstract ideas.The book begins with an exciting sampling of classic and famous ... Read more

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    This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract ... Read more

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  • Complex Analysis

    With this second volume, we enter the intriguing world of complex analysis. From the first theorems on, the elegance and sweep of the results is evident. The starting point is the simple idea of extending a function initially given for real values of the argument to one that is defined when the argument is complex. From there, one proceeds to the main properties of holomorphic functions, whose ... Read more

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  • Galois' Theory Of Algebraic Equations (Second Edition)

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