الصفحة 1
الصفحة 1
Notes on Set Theory
This is introduction to axiomatic set theory, viewed both as a foundation of mathematics and as a branch of mathematics with its own subject matter, basic results, open problems.
Introduction to the Theory of Cooperative Games
This book systematically presents the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games, and the core, the Shapley value, and the ordinal bargaining set of NTU games. To each solution the authors devote a separate chapter wherein they study its properties in full detail. Moreover, important variants are defined or even intensively analyzed. The authors also investigate in separate chapters continuity, dynamics, and geometric properties of solutions of TU games. The study culminates in uniform and coherent axiomatizations of all the foregoing solutions (excluding the bargaining set). Such axiomatizations have not appeared in any book. Moreover, the book contains a detailed analysis of the main results on cooperative games without side payments. Such analysis is very limited or non-existent in other books on game theory.
Guida alla teoria degli insiemi = Guide to set theory
Teachers are in difficulty with regard to the space and emphasis to be given to set theory topics, in their preparation and in their work, because they have not been provided with adequate knowledge at the university. It is safe to say, on the basis of much experience, that the average mathematician, even the researcher, does not know what set theory is. Two prejudices stand in the way of a good knowledge of the theory: one, of a minimalist type, is its identification with an unspecified "set theory", an austere language that is too demanding if one wants to impose it prematurely; the other is of a maximalist type and consists in the supposed and effective link with the more subtle questions of the foundations of mathematics. But the theory has an important mathematical content, and with many implications of didactic interest.
Design Added Value : How Design Increases Value for Architects and Engineers
Enables architects, engineers, contractors and owner-clients of buildings to benefit from extraordinary design and construction features. It explains the rationale and motivation for D-AV methodology, outlines and illustrates this methodology with examples, provides complete and detailed examples of how the key analysis techniques work through historical case studies, and describes specific methods used in application of the D-AV methodology, such as Bayesian statistics, cost benefit analysis, pairwise comparison techniques, cognitive walkthroughs, and optimization.
Conducting Quantitative Research In Education
provides a clear and straightforward guide for all those seeking to conduct quantitative research in the field of education, using primary research data samples. While positioned as less powerful and somehow inferior, non-parametric tests can be very useful where the research can only be designed to accommodate data structure which is ordinal, or scale but violates a normality assumption, which is required for parametric tests. Non-parametric data are a staple of educational research, and as such, it is essential that educational researchers learn how to work with these data with confidence and rigour.
Lattices and Ordered Sets
This book is intended to be a thorough introduction to the subject of ordered sets and lattices, with an emphasis on the latter. It can be used for a course at the graduate or advanced undergraduate level or for independent study. Prerequisites are kept to a minimum, but an introductory course in abstract algebra is highly recommended, since many of the examples are drawn from this area. The book has an excellent choice of topics, including a chapter on well ordering and ordinal numbers, which is not usually found in other texts. The approach is user-friendly and the presentation is lucid. There are more than 240 carefully chosen exercises.
