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  • Effective Kan Fibrations in Simplicial Sets

    Series series Mathematics and Statistics (R0)
    This book introduces the notion of an effective Kan fibration, a new mathematical structure which can be used to study simplicial homotopy theory. The main motivation is to make simplicial homotopy theory suitable for homotopy type theory. Effective Kan fibrations are maps of simplicial sets equipped with a structured collection of chosen lifts that satisfy certain non-trivial properties. Here it ... Read more

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  • Basic Category Theory

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    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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  • Master the GMAT--Math Review: Number Theory and Algebra

    Peterson's provides an in-depth review of the number theory and algebra problems in the Quantitative Section of the GMAT. Factors, multiples, divisibility, prime numbers, exponents, roots and radicals, linear and nonlinear equations, quadratic formulas, algebraic inequalities, weighted average problems, currency problems, mixture problems, investment problems, and problems of rate examples and ... Read more

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  • Basic Discrete Mathematics: Logic, Set Theory, And Probability

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  • Schaum's Outline of Probability, Second Edition

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  • Categories for the Working Mathematician

    Series series Mathematics and Statistics (R0)
    Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of ... Read more

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  • Introduction to Coalgebra

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    Series Book 59 - Cambridge Tracts in Theoretical Computer Science
    The area of coalgebra has emerged within theoretical computer science with a unifying claim: to be the mathematics of computational dynamics. It combines ideas from the theory of dynamical systems and from the theory of state-based computation. Although still in its infancy, it is an active area of research that generates wide interest. Written by one of the founders of the field, this book acts ... Read more

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  • Algebra

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    This is a book of problems in probability and their solutions. The work has been written for undergraduate students who have a background in calculus and wish to study probability.Probability theory is a key part of contemporary mathematics. The subject plays a key role in the insurance industry, modelling financial markets, and statistics in general — including all those fields of endeavour to ... Read more

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