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Concise introduction to current topics in model theory, including simple and stable theories.
Contains the proceedings of the conference Groups and Model Theory, held 2011, in Ruhr, Germany. Articles cover abelian groups, modules over commutative rings, permutation groups, automorphism groups of homogeneous structures such as graphs, relational structures, geometries, topological spaces or groups, consequences of model theoretic properties like stability or categoricity, subgroups of small index, the automorphism tower problem, as well as random constructions.
The third book of the Grandchildren of Lemma” series. Jeevra’s Book This is the book that Jeevra brought back to The Abit and Bind. It is broken into three parts that describe the rise, supremacy and the fall of the Union of Federated Planets, an empire that had risen from the planets seeded by Jeevra. It is broken into three parts, each of the first two telling the story of two couples, Zedska and Magda, and Pelis and Avita, as they tried to fathom what was wrong with the Progeny worlds. Both couples took part in adventure, faced extreme danger, discovered who they were, and in the process fell in love. In the third section, war erupts in the galaxy converging inexorably to the battle or Origin where the Chan faced off against all of the Progeny and in the end against the heroism of the Furries and the Umms.
Hero is no average ordinary girl. She's got a secret that she doesn't even know about. She's living a life filled with sports and horses. She's not one for saying many words, but she protects her friends if someone tries to bully them. But one day her life makes a completely different turn with her two best friends, Vittoria and Myles. A cloaked figure appears telling her that she was a Princess that his master wanted dead. But at the same time a wizard named Swift and his son Boren take her and her friends to the planet Cona where she will find out who she really is. Will Hero and her friends be able to figure out what is going on? Will they even be able to return home back to Earth? Or will the world they had known be a past behind them?
Surveys of current research in logical aspects of computer science that apply finite and infinite model-theoretic methods.
This volume contains the proceedings of the conference ``Analysis, Geometry and Quantum Field Theory'' held at Potsdam University in September 2011, which honored Steve Rosenberg's 60th birthday. The papers in this volume cover a wide range of areas, including Quantum Field Theory, Deformation Quantization, Gerbes, Loop Spaces, Index Theory, Determinants of Elliptic Operators, K-theory, Infinite Rank Bundles and Mathematical Biology.
The first book to introduce the rapidly developing subject of NIP theories, for students and researchers in model theory.
This book lays the foundation for a theory of coarse groups: namely, sets with operations that satisfy the group axioms “up to uniformly bounded error”. These structures are the group objects in the category of coarse spaces, and arise naturally as approximate subgroups, or as coarse kernels. The first aim is to provide a standard entry-level introduction to coarse groups. Extra care has been taken to give a detailed, self-contained and accessible account of the theory. The second aim is to quickly bring the reader to the forefront of research. This is easily accomplished, as the subject is still young, and even basic questions remain unanswered. Reflecting its dual purpose, the book is ...
The aim of this book is to present mathematical logic to students who are interested in what this field is but have no intention of specializing in it. The point of view is to treat logic on an equal footing to any other topic in the mathematical curriculum. The book starts with a presentation of naive set theory, the theory of sets that mathematicians use on a daily basis. Each subsequent chapter presents one of the main areas of mathematical logic: first order logic and formal proofs, model theory, recursion theory, Gödel's incompleteness theorem, and, finally, the axiomatic set theory. Each chapter includes several interesting highlights—outside of logic when possible—either in the main text, or as exercises or appendices. Exercises are an essential component of the book, and a good number of them are designed to provide an opening to additional topics of interest.
-- Elaine May, author of Homeward Bound: American Families in the Cold War Era.