Motivic Integration and its Interactions with Model Theory by Raf Cluckers,Johannes Nicaise,Julien Sebag

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 features, lie on the root of lovely theoretical effects that are even as super helpful within the research and resolution of optimization difficulties, together with difficulties of both unmarried aim or a number of targets. no longer all of those effects count unavoidably on convexity and concavity; a few of the effects can ensure that every one neighborhood optimal can be an international optimal, giving those equipment broader program to a much broader type of difficulties.

Computability and Unsolvability (Dover Books on Computer Science)

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

Elements of Automata Theory

Automata thought lies on the origin of desktop technological know-how, and is key to a theoretical realizing of ways pcs paintings and what constitutes formal tools. This treatise provides a rigorous account of the subject and illuminates its actual which means via taking a look at the topic in numerous methods. the 1st a part of the e-book 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 stimulated many different components of arithmetic, starting from the Langlands application over harmonic research, to non-Archimedean research, singularity thought and birational geometry. This booklet assembles the several theories of motivic integration and their functions for the 1st time, permitting readers to match varied techniques and verify their person strengths.