Model Theory (Dover Books on Mathematics) by C. C. Chang,Eric Gottesman,Keisler

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 while tremendous beneficial within the research and resolution of optimization difficulties, together with difficulties of both unmarried target or a number of goals. now not all of those effects count unavoidably on convexity and concavity; many of the effects can make sure that each one neighborhood optimal can also be a world optimal, giving those tools broader program to a much broader classification 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. partially One (Chapters 1–5), Professor Davis outlines the overall concept of computability, discussing such subject matters as computable features, operations on computable capabilities, recursive features, Turing machines, self-applied, and unsolvable choice difficulties.

Elements of Automata Theory

Automata idea lies on the starting place of machine technological know-how, and is essential to a theoretical realizing of ways desktops paintings and what constitutes formal equipment. This treatise offers a rigorous account of the subject and illuminates its actual which means through taking a look at the topic in quite a few methods. the 1st a part of the ebook 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 improvement of Maxim Kontsevich's preliminary rules on motivic integration has suddenly encouraged many different parts of arithmetic, starting from the Langlands application over harmonic research, to non-Archimedean research, singularity thought and birational geometry. This e-book assembles different theories of motivic integration and their functions for the 1st time, permitting readers to match diverse methods and examine their person strengths.