The Foundations of Mathematics in the Theory of Sets by John P. Mayberry

Generalized Concavity in Fuzzy Optimization and Decision Analysis (International Series in Operations Research & Management Science)

Convexity of units in linear areas, and concavity and convexity of services, lie on the root of lovely theoretical effects that are whilst tremendous beneficial within the research and resolution of optimization difficulties, together with difficulties of both unmarried aim or a number of goals. no longer all of those effects count unavoidably on convexity and concavity; a number of the effects can be sure that each one neighborhood optimal can also be a world optimal, giving those equipment broader program to a much broader category of difficulties.

Computability and Unsolvability (Dover Books on Computer Science)

During this vintage textual content, Dr. Davis offers a transparent creation to computability, at a sophisticated undergraduate point, that serves the wishes of experts and non-specialists alike. partly One (Chapters 1–5), Professor Davis outlines the overall conception of computability, discussing such subject matters as computable capabilities, operations on computable services, recursive features, Turing machines, self-applied, and unsolvable choice difficulties.

Elements of Automata Theory

Automata conception lies on the beginning of laptop technology, and is essential to a theoretical realizing of the way pcs paintings and what constitutes formal equipment. This treatise provides a rigorous account of the subject and illuminates its genuine which means via the topic in a number of methods. the 1st a part of the publication is organised round notions of rationality and recognisability.

Motivic Integration and its Interactions with Model Theory and Non-Archimedean Geometry: Volume 2 (London Mathematical Society Lecture Note Series)

The advance of Maxim Kontsevich's preliminary principles on motivic integration has without warning inspired many different parts of arithmetic, starting from the Langlands application over harmonic research, to non-Archimedean research, singularity concept and birational geometry. This publication assembles the several theories of motivic integration and their purposes for the 1st time, permitting readers to match diverse methods and verify their person strengths.