Model Theory

Author: Wilfrid Hodges

Publisher: Cambridge University Press

ISBN: 9780521304429

Category: Mathematics

Page: 772

View: 6018

Model theory is concerned with the notions of definition, interpretation and structure in a very general setting, and is applied to a wide range of other areas such as set theory, geometry, algebra and computer science. This book provides an integrated introduction to model theory for graduate students.

A Course in Model Theory

Author: Katrin Tent,Martin Ziegler

Publisher: Cambridge University Press

ISBN: 052176324X

Category: Mathematics

Page: 248

View: 6650

This concise introduction to model theory begins with standard notions and takes the reader through to more advanced topics such as stability, simplicity and Hrushovski constructions. The authors introduce the classic results, as well as more recent developments in this vibrant area of mathematical logic. Concrete mathematical examples are included throughout to make the concepts easier to follow. The book also contains over 200 exercises, many with solutions, making the book a useful resource for graduate students as well as researchers.

Quantum Field Theory for Mathematicians

Author: Robin Ticciati,Robin (Maharishi University of Management Ticciati, Iowa)

Publisher: Cambridge University Press

ISBN: 9780521632652

Category: Mathematics

Page: 699

View: 1368

This should be a useful reference for anybody with an interest in quantum theory.

The Foundations of Mathematics in the Theory of Sets

Author: John P. Mayberry

Publisher: Cambridge University Press

ISBN: 9780521770347

Category: Mathematics

Page: 424

View: 3554

This 2001 book will appeal to mathematicians and philosophers interested in the foundations of mathematics.

Andrzej Mostowski and Foundational Studies

Author: A. Ehrenfeucht,V.W. Marek,M. Srebrny

Publisher: IOS Press

ISBN: 1607502720

Category: Mathematics

Page: 460

View: 5396

Andrzej Mostowski was one of the leading 20th century logicians. His legacy is examined in this volume of papers devoted both to his extraordinary scientific heritage and to the memory of him as a great researcher, teacher, organizer of science and person. Professor Mostowski pioneered and mastered many areas of mathematical logic. His contributions spanned set theory, recursion theory, and model theory - the backbone of the foundations of mathematics. The complete detailed bibliography of Mostowski's writings is included. For many years after WWII and especially in the late sixties and until his untimely death in 1975, Warsaw, where he led the centre of foundational studies, was a place where many leading logicians visited, studied, and started their career. Their memories form an important part of this volume, attempting to bring back the extraordinary achievements and personality of Mostowski.

Instruction Sequences for Computer Science

Author: Jan A Bergstra,Cornelis A. Middelburg

Publisher: Springer Science & Business Media

ISBN: 9491216651

Category: Computers

Page: 232

View: 1019

This book demonstrates that the concept of an instruction sequence offers a novel and useful viewpoint on issues relating to diverse subjects in computer science. Selected issues relating to well-known subjects from the theory of computation and the area of computer architecture are rigorously investigated in this book thinking in terms of instruction sequences. The subjects from the theory of computation, to wit the halting problem and non-uniform computational complexity, are usually investigated thinking in terms of a common model of computation such as Turing machines and Boolean circuits. The subjects from the area of computer architecture, to wit instruction sequence performance, instruction set architectures and remote instruction processing, are usually not investigated in a rigorous way at all.

Purity, Spectra and Localisation

Author: Mike Prest

Publisher: Cambridge University Press

ISBN: 0521873088

Category: Mathematics

Page: 769

View: 4494

A unified, coherent account of the algebraic aspects and uses of the Ziegler spectrum. It may be used as an introductory graduate-level text, providing relevant background material and a wealth of illustrated examples. An extensive index and thorough referencing also make this book an ideal reference.

Automated Deduction – CADE-20

20th International Conference on Automated Deduction, Tallinn, Estonia, July 22-27, 2005, Proceedings

Author: Robert Nieuwenhuis

Publisher: Springer Science & Business Media

ISBN: 3540280057

Category: Computers

Page: 466

View: 2968


A Functorial Model Theory

Newer Applications to Algebraic Topology, Descriptive Sets, and Computing Categories Topos

Author: Cyrus F. Nourani

Publisher: CRC Press

ISBN: 1926895924

Category: Mathematics

Page: 302

View: 8795

This book is an introduction to a functorial model theory based on infinitary language categories. The author introduces the properties and foundation of these categories before developing a model theory for functors starting with a countable fragment of an infinitary language. He also presents a new technique for generating generic models with categories by inventing infinite language categories and functorial model theory. In addition, the book covers string models, limit models, and functorial models.

Logic in Tehran

proceedings of the Workshop and Conference on Logic, Algebra and Arithmetic, held October 18-22, 2003

Author: Ali Enayat,Iraj Kalantari,Mojtaba Moniri

Publisher: A K Peters Ltd

ISBN: 9781568812953

Category: Mathematics

Page: 341

View: 3380

This collection of papers is based on a conference that was held in Tehran, Iran, with the express purpose of bringing together researchers with connections to Iranian logicians and promoting further research in mathematical logic in Iran. Particular emphasis was given to model theory and its applications to algebra and formal theories of arithmetic. Other papers address category theory, computability, modal logic, and the history of mathematical logic in Iran.
Mathematical models


Author: Jerzy A. Filar,Jacek B Krawczyk

Publisher: EOLSS Publications

ISBN: 1848262442

Category: Mathematical models

Page: 398

View: 4293

Mathematical Models is a component of Encyclopedia of Mathematical Sciences in the global Encyclopedia of Life Support Systems (EOLSS), which is an integrated compendium of twenty one Encyclopedias. The Theme on Mathematical Models discusses matters of great relevance to our world such as: Basic Principles of Mathematical Modeling; Mathematical Models in Water Sciences; Mathematical Models in Energy Sciences; Mathematical Models of Climate and Global Change; Infiltration and Ponding; Mathematical Models of Biology; Mathematical Models in Medicine and Public Health; Mathematical Models of Society and Development. These three volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.
Mathematical statistics

Encyclopedia of Statistical Sciences

Author: Samuel Kotz,N. Balakrishnan

Publisher: N.A

ISBN: 9780471743743

Category: Mathematical statistics

Page: 810

View: 3630

Entries cover statistical theory, methods, and applications. Includes the latest topics and advances made in statistical science over the past decade--in areas such as computer-intensive statistical methodology, genetics, medicine, the environment, and other applications.

Encyclopedia of Educational Theory and Philosophy

Author: D. C. Phillips

Publisher: SAGE Publications

ISBN: 1483364755

Category: Education

Page: 952

View: 6179

Education is a field sometimes beset by theories-of-the-day and with easy panaceas that overpromise the degree to which they can alleviate pressing educational problems. The two-volume Encyclopedia of Educational Theory and Philosophy introduces readers to theories that have stood the test of time and those that have provided the historical foundation for the best of contemporary educational theory and practice. Drawing together a team of international scholars, this invaluable reference examines the global landscape of all the key theories and the theorists behind them and presents them in the context needed to understand their strengths and weaknesses. In addition to interpretations of long-established theories, this work offers essays on cutting-edge research and concise, to-the-point definitions of key concepts, ideas, schools, and figures. Features: Over 300 signed entries by trusted experts in the field are organized into two volumes and overseen by a distinguished General Editor and an international Editorial Board. Entries are followed by cross references and further reading suggestions. A Chronology of Theory within the field of education highlights developments over the centuries; a Reader’s Guide groups entries thematically, and a master Bibliography facilitates further study. The Reader’s Guide, detailed index, and cross references combine for strong search-and-browse capabilities in the electronic version. Available in a choice of print or electronic formats, Encyclopedia of Educational Theory and Philosophy is an ideal reference for anyone interested in the roots of contemporary educational theory.

Encyclopedia of Computer Science and Technology

Volume 22 - Supplement 7: Artificial Intelligence to Vector SPate Model in Information Retrieval

Author: Allen Kent,James G. Williams

Publisher: CRC Press

ISBN: 9780824722722

Category: Computers

Page: 456

View: 8495

"This comprehensive reference work provides immediate, fingertip access to state-of-the-art technology in nearly 700 self-contained articles written by over 900 international authorities. Each article in the Encyclopedia features current developments and trends in computers, software, vendors, and applications...extensive bibliographies of leading figures in the field, such as Samuel Alexander, John von Neumann, and Norbert Wiener...and in-depth analysis of future directions."

Mathematics of Complexity and Dynamical Systems

Author: Robert A. Meyers

Publisher: Springer Science & Business Media

ISBN: 1461418054

Category: Mathematics

Page: 1858

View: 9188

Mathematics of Complexity and Dynamical Systems is an authoritative reference to the basic tools and concepts of complexity, systems theory, and dynamical systems from the perspective of pure and applied mathematics. Complex systems are systems that comprise many interacting parts with the ability to generate a new quality of collective behavior through self-organization, e.g. the spontaneous formation of temporal, spatial or functional structures. These systems are often characterized by extreme sensitivity to initial conditions as well as emergent behavior that are not readily predictable or even completely deterministic. The more than 100 entries in this wide-ranging, single source work provide a comprehensive explication of the theory and applications of mathematical complexity, covering ergodic theory, fractals and multifractals, dynamical systems, perturbation theory, solitons, systems and control theory, and related topics. Mathematics of Complexity and Dynamical Systems is an essential reference for all those interested in mathematical complexity, from undergraduate and graduate students up through professional researchers.

Mathematics of Chance

Author: Jirí Andel

Publisher: John Wiley & Sons

ISBN: 0470317914

Category: Mathematics

Page: 272

View: 3694

Mathematics of Chance utilizes simple, real-world problems-some of which have only recently been solved-to explain fundamental probability theorems, methods, and statistical reasoning. Jiri Andel begins with a basic introduction to probability theory and its important points before moving on to more specific sections on vital aspects of probability, using both classic and modern problems. Each chapter begins with easy, realistic examples before covering the general formulations and mathematical treatments used. The reader will find ample use for a chapter devoted to matrix games and problem sets concerning waiting, probability calculations, expectation calculations, and statistical methods. A special chapter utilizes problems that relate to areas of mathematics outside of statistics and considers certain mathematical concepts from a probabilistic point of view. Sections and problems cover topics including: * Random walks * Principle of reflection * Probabilistic aspects of records * Geometric distribution * Optimization * The LAD method, and more Knowledge of the basic elements of calculus will be sufficient in understanding most of the material presented here, and little knowledge of pure statistics is required. Jiri Andel has produced a compact reference for applied statisticians working in industry and the social and technical sciences, and a book that suits the needs of students seeking a fundamental understanding of probability theory.

The Theory of Partitions

Author: George E. Andrews

Publisher: Cambridge University Press

ISBN: 9780521637664

Category: Mathematics

Page: 255

View: 8053

Discusses mathematics related to partitions of numbers into sums of positive integers.