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  • Introduction to Galois Theory

    Series series Mathematics and Statistics (R0)
    This textbook provides an undergraduate introduction to Galois theory and its most notable applications.Galois theory was born in the 19th century to study polynomial equations. Both powerful and elegant, this theory was at the origin of a substantial part of modern algebra and has since undergone considerable development. It remains an extremely active research subject and has found numerous ... Read more

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    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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  • 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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  • 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)

    The book gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel, and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the ... Read more

    $27.99 USD

  • Additive Combinatorics

    Series Book 105 - Cambridge Studies in Advanced Mathematics
    Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring ... Read more

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  • Real Analysis

    Modern Techniques and Their Applications

    Series series Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
    An in-depth look at real analysis and its applications-now expanded and revised.This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of ... Read more

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  • Rational Points on Elliptic Curves

    Series series Mathematics and Statistics (R0)
    The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an opportunity for advanced undergraduates to appreciate the unity of modern mathematics. At the same time, every effort has been made to use only methods and results commonly included in the undergraduate ... Read more

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  • The Nuts and Bolts of Proofs

    An Introduction to Mathematical Proofs

    The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten.A flow chart graphically demonstrates the basic steps in the ... Read more

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  • Galois Groups and Fundamental Groups

    Series Book 117 - Cambridge Studies in Advanced Mathematics
    Ever since the concepts of Galois groups in algebra and fundamental groups in topology emerged during the nineteenth century, mathematicians have known of the strong analogies between the two concepts. This book presents the connection starting at an elementary level, showing how the judicious use of algebraic geometry gives access to the powerful interplay between algebra and topology that ... Read more

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  • Advanced Calculus

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    by Voxman ...
    Series series Chapman & Hall/CRC Pure and Applied Mathematics
    Advanced Calculus: An Introduction to Modem Analysis, an advanced undergraduate textbook,provides mathematics majors, as well as students who need mathematics in their field of study,with an introduction to the theory and applications of elementary analysis. The text presents, inan accessible form, a carefully maintained balance between abstract concepts and applied results ofsignificance that ... Read more

    $89.99 USD