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 services, lie on the root of lovely theoretical effects that are whilst tremendous helpful within the research and answer of optimization difficulties, together with difficulties of both unmarried goal or a number of targets. no longer all of those effects count unavoidably on convexity and concavity; the various effects can make sure that each one neighborhood optimal can also be a world optimal, giving those equipment broader software to a much broader classification 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 thought of computability, discussing such issues as computable capabilities, operations on computable features, recursive services, Turing machines, self-applied, and unsolvable choice difficulties.

Elements of Automata Theory

Automata thought lies on the starting place of laptop technology, and is essential to a theoretical knowing of the way pcs paintings and what constitutes formal equipment. This treatise supplies a rigorous account of the subject and illuminates its genuine that means by means of taking a look at the topic in various 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 principles on motivic integration has by surprise stimulated many different components of arithmetic, starting from the Langlands application over harmonic research, to non-Archimedean research, singularity idea and birational geometry. This ebook assembles the various theories of motivic integration and their purposes for the 1st time, permitting readers to check various techniques and determine their person strengths.