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  • Monoidal Topology

    A Categorical Approach to Order, Metric, and Topology

    Series Book 153 - Encyclopedia of Mathematics and its Applications
    Monoidal Topology describes an active research area that, after various past proposals on how to axiomatize 'spaces' in terms of convergence, began to emerge at the beginning of the millennium. It combines Barr's relational presentation of topological spaces in terms of ultrafilter convergence with Lawvere's interpretation of metric spaces as small categories enriched over the extended real half ... Read more

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  • Basic Category Theory

    by Tom Leinster ...
    Series Book 143 - Cambridge Studies in Advanced Mathematics
    At the heart of this short introduction to category theory is the idea of a universal property, important throughout mathematics. After an introductory chapter giving the basic definitions, separate chapters explain three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties all three together. The book is suitable for use in ... Read more

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  • Beginner's Further Guide To Mathematical Logic, A

    'A wealth of examples to which solutions are given permeate the text so the reader will certainly be active.'The Mathematical GazetteThis is the final book written by the late great puzzle master and logician, Dr. Raymond Smullyan.This book is a sequel to my Beginner's Guide to Mathematical Logic.The previous volume deals with elements of propositional and first-order logic, contains a bit on ... Read more

    $18.09 USD

  • Set Theory

    A First Course

    Series series Cambridge Mathematical Textbooks
    Set theory is a rich and beautiful subject whose fundamental concepts permeate virtually every branch of mathematics. One could say that set theory is a unifying theory for mathematics, since nearly all mathematical concepts and results can be formalized within set theory. This textbook is meant for an upper undergraduate course in set theory. In this text, the fundamentals of abstract sets, ... Read more

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  • Set Theory

    With an Introduction to Real Point Sets

    What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner.To allow flexibility of topic selection in courses, the book is organized into four relatively ... Read more

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  • Synthetic Differential Topology

    Series Book 448 - London Mathematical Society Lecture Note Series
    This book formally introduces synthetic differential topology, a natural extension of the theory of synthetic differential geometry which captures classical concepts of differential geometry and topology by means of the rich categorical structure of a necessarily non-Boolean topos and of the systematic use of logical infinitesimal objects in it. Beginning with an introduction to those parts of ... Read more

    $76.29 USD

  • Logical Frameworks for Truth and Abstraction

    An Axiomatic Study

    by A. Cantini ...
    Series Book 135 - Studies in Logic and the Foundations of Mathematics
    This English translation of the author's original work has been thoroughly revised, expanded and updated.The book covers logical systems known as type-free or self-referential. These traditionally arise from any discussion on logical and semantical paradoxes. This particular volume, however, is not concerned with paradoxes but with the investigation of type-free sytems to show that: (i) there are ... Read more

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  • Language Of Game Theory, The: Putting Epistemics Into The Mathematics Of Games

    Series Book 5 - World Scientific Series In Economic Theory
    This volume contains eight papers written by Adam Brandenburger and his co-authors over a period of 25 years. These papers are part of a program to reconstruct game theory in order to make how players reason about a game a central feature of the theory. The program — now called epistemic game theory — extends the classical definition of a game model to include not only the game matrix or game tree ... Read more

    $35.09 USD

  • Infinity And Truth

    Series Book 25 - Lecture Notes Series, Institute For Mathematical Sciences, National University Of Singapore
    This volume is based on the talks given at the Workshop on Infinity and Truth held at the Institute for Mathematical Sciences, National University of Singapore, from 25 to 29 July 2011. The chapters cover topics in mathematical and philosophical logic that examine various aspects of the foundations of mathematics. The theme of the volume focuses on two basic foundational questions: (i) What is the ... Read more

    $25.69 USD

  • Intermediate Logic

    by David Bostock ...
    Intermediate Logic is an ideal text for anyone who has taken a first course in logic and is progressing to further study. It examines logical theory, rather than the applications of logic, and does not assume any specific technological grounding. The author introduces and explains each concept and term, ensuring that readers have a firm foundation for study. He provides a broad, deep understanding ... Read more

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  • Coherence in Three-Dimensional Category Theory

    by Nick Gurski ...
    Series Book 201 - Cambridge Tracts in Mathematics
    Dimension three is an important test-bed for hypotheses in higher category theory and occupies something of a unique position in the categorical landscape. At the heart of matters is the coherence theorem, of which this book provides a definitive treatment, as well as covering related results. Along the way the author treats such material as the Gray tensor product and gives a construction of the ... Read more

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  • Appalachian Set Theory

    2006–2012

    Series Book 406 - London Mathematical Society Lecture Note Series
    This volume takes its name from a popular series of intensive mathematics workshops hosted at institutions in Appalachia and surrounding areas. At these meetings, internationally prominent set theorists give one-day lectures that focus on important new directions, methods, tools and results so that non-experts can begin to master these and incorporate them into their own research. Each chapter in ... Read more

    $74.69 USD