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  • The Quadratic Reciprocity Law

    A Collection of Classical Proofs

    Translated by Franz Lemmermeyer ...
    Series series Mathematics and Statistics (R0)
    This book is the English translation of Baumgart’s thesis on the early proofs of the quadratic reciprocity law (“Über das quadratische Reciprocitätsgesetz. Eine vergleichende Darstellung der Beweise”), first published in 1885. It is divided into two parts. The first part presents a very brief history of the development of number theory up to Legendre, as well as detailed descriptions of several ... Read more

    $98.09 USD

  • Quadratic Number Fields

    Series series Mathematics and Statistics (R0)
    This undergraduate textbook provides an elegant introduction to the arithmetic of quadratic number fields, including many topics not usually covered in books at this level.Quadratic fields offer an introduction to algebraic number theory and some of its central objects: rings of integers, the unit group, ideals and the ideal class group. This textbook provides solid grounding for further study by ... Read more

    $31.49 USD

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  • Schaum's Outline of Abstract Algebra

    Tough Test Questions? Missed Lectures? Not Rnough Time?Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get ... Read more

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  • Quaternion Algebras

    by John Voight ...
    Series series Mathematics and Statistics (R0)
    This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse areas of mathematics. Written to be accessible and approachable to the graduate student reader, this text collects and synthesizes results from across the literature. Numerous pathways offer explorations in many different directions, while ... Read more

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  • Computational Aspects of Modular Forms and Galois Representations

    How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime

    Series Book 176 - Annals of Mathematics Studies
    Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known algorithms for computing these Fourier coefficients took exponential time, except in some special ... Read more

    $74.89 USD

  • Algebra, Logic And Combinatorics

    Series Book 3 - Ltcc Advanced Mathematics Series
    This book leads readers from a basic foundation to an advanced level understanding of algebra, logic and combinatorics. Perfect for graduate or PhD mathematical-science students looking for help in understanding the fundamentals of the topic, it also explores more specific areas such as invariant theory of finite groups, model theory, and enumerative combinatorics.Algebra, Logic and Combinatorics ... Read more

    $26.99 USD

  • 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

    $106.00 USD

  • Computation with Linear Algebraic Groups

    Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Designed as a self-contained account of a number of key algorithmic problems and their solutions for linear algebraic groups, this book combines in one single text both an introduction to the basic theory of linear algebraic groups and a substantial collection of useful algorithms.Computation with Linear Algebraic Groups offers an invaluable guide to graduate students and researchers working in ... Read more

    $234.99 USD

  • Elementary Analysis

    The Theory of Calculus

    Series series Mathematics and Statistics (R0)
    For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the ... Read more

    $53.99 USD

  • 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 Banach–Tarski Paradox

    Series Book 163 - Encyclopedia of Mathematics and its Applications
    The Banach–Tarski Paradox is a most striking mathematical construction: it asserts that a solid ball can be taken apart into finitely many pieces that can be rearranged using rigid motions to form a ball twice as large. This volume explores the consequences of the paradox for measure theory and its connections with group theory, geometry, set theory, and logic. This new edition of a classic book ... Read more

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  • Number Theory

    An Introduction to Pure and Applied Mathematics

    by Don Redmond ...
    Series series Chapman & Hall/CRC Pure and Applied Mathematics
    This text provides a detailed introduction to number theory, demonstrating how other areas of mathematics enter into the study of the properties of natural numbers. It contains problem sets within each section and at the end of each chapter to reinforce essential concepts, and includes up-to-date information on divisibility problems, polynomial congruence, the sums of squares and trigonometric ... Read more

    $197.99 USD