Proofs and Refutations: The Logic of Mathematical Discovery by Imre Lakatos,John Worrall,Elie Zahar

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 super precious within the research and resolution of optimization difficulties, together with difficulties of both unmarried target or a number of goals. no longer all of those effects depend unavoidably on convexity and concavity; a number of the effects can make sure that each one neighborhood optimal is additionally an international optimal, giving those tools broader software 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 desires 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 services, operations on computable services, recursive services, Turing machines, self-applied, and unsolvable determination difficulties.

Elements of Automata Theory

Automata conception lies on the beginning of machine technological know-how, and is key to a theoretical figuring out of the way pcs paintings and what constitutes formal tools. This treatise supplies a rigorous account of the subject and illuminates its genuine which means by way of the topic in various methods. the 1st a part of the booklet 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 unexpectedly stimulated many different components of arithmetic, starting from the Langlands software over harmonic research, to non-Archimedean research, singularity thought and birational geometry. This booklet assembles the various theories of motivic integration and their purposes for the 1st time, permitting readers to match various techniques and determine their person strengths.