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  • Bounded Gaps Between Primes

    The Epic Breakthroughs of the Early Twenty-First Century

    Searching for small gaps between consecutive primes is one way to approach the twin primes conjecture, one of the most celebrated unsolved problems in number theory. This book documents the remarkable developments of recent decades, whereby an upper bound on the known gap length between infinite numbers of consecutive primes has been reduced to a tractable finite size. The text is both ... Read more

    $50.89 USD

  • Equivalents of the Riemann Hypothesis: Volume 2, Analytic Equivalents

    Series Book 165 - Encyclopedia of Mathematics and its Applications
    The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, ... Read more

    $164.89 USD

  • Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic Equivalents

    Series Book 164 - Encyclopedia of Mathematics and its Applications
    The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, ... Read more

    $136.19 USD

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  • Numerical Analysis

    Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this ... Read more

    $82.79 USD

  • Computability Theory

    An Introduction to Recursion Theory

    Computability Theory: An Introduction to Recursion Theory provides a concise, comprehensive, and authoritative introduction to contemporary computability theory, techniques, and results. The basic concepts and techniques of computability theory are placed in their historical, philosophical and logical context. This presentation is characterized by an unusual breadth of coverage and the inclusion ... Read more

    $56.69 USD

  • Lambda Calculus with Types

    Series series Perspectives in Logic
    This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. The lambda calculus forms a prototype universal programming language, which in its untyped version is related to Lisp, and was treated in the first author's classic The Lambda Calculus (1984). The formalism has since been extended with types ... Read more

    $89.39 USD

  • A Course in Point Set Topology

    Series series Mathematics and Statistics (R0)
    This textbook in point set topology is aimed at an upper-undergraduate audience. Its gentle pace will be useful to students who are still learning to write proofs. Prerequisites include calculus and at least one semester of analysis, where the student has been properly exposed to the ideas of basic set theory such as subsets, unions, intersections, and functions, as well as convergence and other ... Read more

    $58.99 USD

  • Analysis on Polish Spaces and an Introduction to Optimal Transportation

    Series Book 89 - London Mathematical Society Student Texts
    A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given by a complete metric. This analysis is not only simpler than in the general case, but, more crucially, contains many important special results. This book provides a detailed account of analysis and measure theory on Polish spaces, including results about spaces ... Read more

    $49.19 USD

  • Codes and Rings

    Theory and Practice

    Series Book Volume - - Pure and Applied Mathematics
    Codes and Rings: Theory and Practice is a systematic review of literature that focuses on codes over rings and rings acting on codes. Since the breakthrough works on quaternary codes in the 1990s, two decades of research have moved the field far beyond its original periphery. This book fills this gap by consolidating results scattered in the literature, addressing classical as well as applied ... Read more

    $134.99 USD

  • Computability and Randomness

    by André Nies ...
    Series Book 51 - Oxford Logic Guides
    The interplay between computability and randomness has been an active area of research in recent years, reflected by ample funding in the USA, numerous workshops, and publications on the subject. The complexity and the randomness aspect of a set of natural numbers are closely related. Traditionally, computability theory is concerned with the complexity aspect. However, computability theoretic ... Read more

    $53.99 USD

  • 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

    $190.00 USD

  • Certain Number-Theoretic Episodes In Algebra, Second Edition

    The book attempts to point out the interconnections between number theory and algebra with a view to making a student understand certain basic concepts in the two areas forming the subject-matter of the book. ... Read more

    $245.00 USD