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ISBN 13 :
Total Pages : 344 pages
Book Rating : 4.3/5 (91 download)
Download or read book Cahiers de Topologie Et Géométrie Différentielle Catégoriques written by and published by . This book was released on 2005 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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ISBN 13 :
Total Pages : 464 pages
Book Rating : 4.3/5 (91 download)
Download or read book Cahiers de Topologie Et Géométrie Différentielle written by and published by . This book was released on 1984 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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ISBN 13 :
Total Pages : 254 pages
Book Rating : 4.:/5 (3 download)
Download or read book Topologie Et Géométrie Différentielle written by and published by . This book was released on 1962 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cahiers du séminaire.
Author : Anders Kock
Publisher : Cambridge University Press
ISBN 13 : 0521116732
Total Pages : 317 pages
Book Rating : 4.5/5 (211 download)
Download or read book Synthetic Geometry of Manifolds written by Anders Kock and published by Cambridge University Press. This book was released on 2010 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This elegant book is sure to become the standard introduction to synthetic differential geometry. It deals with some classical spaces in differential geometry, namely 'prolongation spaces' or neighborhoods of the diagonal. These spaces enable a natural description of some of the basic constructions in local differential geometry and, in fact, form an inviting gateway to differential geometry, and also to some differential-geometric notions that exist in algebraic geometry. The presentation conveys the real strength of this approach to differential geometry. Concepts are clarified, proofs are streamlined, and the focus on infinitesimal spaces motivates the discussion well. Some of the specific differential-geometric theories dealt with are connection theory (notably affine connections), geometric distributions, differential forms, jet bundles, differentiable groupoids, differential operators, Riemannian metrics, and harmonic maps. Ideal for graduate students and researchers wishing to familiarize themselves with the field.
Author : Nancy D. Anderson
Publisher : American Mathematical Soc.
ISBN 13 : 9780821801291
Total Pages : 198 pages
Book Rating : 4.8/5 (12 download)
Download or read book French Mathematical Seminars written by Nancy D. Anderson and published by American Mathematical Soc.. This book was released on 1989 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for mathematics librarians, the list allows librarians to ascertain if a seminaire has been published, which library has it, and the forms of entry under which it has been cataloged.
Author : Claudia Casadio
Publisher : Springer Nature
ISBN 13 : 3030665453
Total Pages : 432 pages
Book Rating : 4.0/5 (36 download)
Download or read book Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics written by Claudia Casadio and published by Springer Nature. This book was released on 2021-04-21 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is dedicated to the life and work of the mathematician Joachim Lambek (1922–2014). The editors gather together noted experts to discuss the state of the art of various of Lambek’s works in logic, category theory, and linguistics and to celebrate his contributions to those areas over the course of his multifaceted career. After early work in combinatorics and elementary number theory, Lambek became a distinguished algebraist (notably in ring theory). In the 1960s, he began to work in category theory, categorical algebra, logic, proof theory, and foundations of computability. In a parallel development, beginning in the late 1950s and for the rest of his career, Lambek also worked extensively in mathematical linguistics and computational approaches to natural languages. He and his collaborators perfected production and type grammars for numerous natural languages. Lambek grammars form an early noncommutative precursor to Girard’s linear logic. In a surprising development (2000), he introduced a novel and deeper algebraic framework (which he called pregroup grammars) for analyzing natural language, along with algebraic, higher category, and proof-theoretic semantics. This book is of interest to mathematicians, logicians, linguists, and computer scientists.
Author : Robert Gordon
Publisher : American Mathematical Soc.
ISBN 13 : 0821803441
Total Pages : 94 pages
Book Rating : 4.8/5 (218 download)
Download or read book Coherence for Tricategories written by Robert Gordon and published by American Mathematical Soc.. This book was released on 1995 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work defines the concept of tricategory as the natural 3-dimensional generalization of bicategory. Trihomomorphism and triequivalence for tricategories are also defined so as to extend the concepts of homomorphism and biequivalence for bicategories.
Author : Claudia Centazzo
Publisher : Presses univ. de Louvain
ISBN 13 : 9782930344782
Total Pages : 200 pages
Book Rating : 4.3/5 (447 download)
Download or read book Generalised Algebraic Models written by Claudia Centazzo and published by Presses univ. de Louvain. This book was released on 2004 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic theories and algebraic categories offer an innovative and revelatory description of the syntax and the semantics. An algebraic theory is a concrete mathematical object -- the concept -- namely a set of variables together with formal symbols and equalities between these terms; stated otherwise, an algebraic theory is a small category with finite products. An algebra or model of the theory is a set-theoretical interpretation -- a possible meaning -- or, more categorically, a finite product-preserving functor from the theory into the category of sets. We call the category of models of an algebraic theory an algebraic category. By generalising the theory we do generalise the models. This concept is the fascinating aspect of the subject and the reference point of our project. We are interested in the study of categories of models. We pursue our task by considering models of different theories and by investigating the corresponding categories of models they constitute. We analyse localizations (namely, fully faithful right adjoint functors whose left adjoint preserves finite limits) of algebraic categories and localizations of presheaf categories. These are still categories of models of the corresponding theory.We provide a classification of localizations and a classification of geometric morphisms (namely, functors together with a finite limit-preserving left adjoint), in both the presheaf and the algebraic context.
Author : L. Tamássy
Publisher : Springer Science & Business Media
ISBN 13 : 9400901496
Total Pages : 427 pages
Book Rating : 4.4/5 (9 download)
Download or read book New Developments in Differential Geometry written by L. Tamássy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Colloquium on Differential Geometry, Debrecen, Hungary, July 26-30, 1994
Author : Ivan Kolar
Publisher : Springer Science & Business Media
ISBN 13 : 3662029502
Total Pages : 440 pages
Book Rating : 4.6/5 (62 download)
Download or read book Natural Operations in Differential Geometry written by Ivan Kolar and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this work is threefold: First it should be a monographical work on natural bundles and natural op erators in differential geometry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Exterior derivative commutes with the pullback of differential forms. In the background of this statement are the following general concepts. The vector bundle A kT* M is in fact the value of a functor, which associates a bundle over M to each manifold M and a vector bundle homomorphism over f to each local diffeomorphism f between manifolds of the same dimension. This is a simple example of the concept of a natural bundle. The fact that exterior derivative d transforms sections of A kT* M into sections of A k+1T* M for every manifold M can be expressed by saying that d is an operator from A kT* M into A k+1T* M.
Author : Fosco Loregian
Publisher : Cambridge University Press
ISBN 13 : 1108788602
Total Pages : 332 pages
Book Rating : 4.1/5 (87 download)
Download or read book (Co)end Calculus written by Fosco Loregian and published by Cambridge University Press. This book was released on 2021-07-22 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The language of ends and (co)ends provides a natural and general way of expressing many phenomena in category theory, in the abstract and in applications. Yet although category-theoretic methods are now widely used by mathematicians, since (co)ends lie just beyond a first course in category theory, they are typically only used by category theorists, for whom they are something of a secret weapon. This book is the first systematic treatment of the theory of (co)ends. Aimed at a wide audience, it presents the (co)end calculus as a powerful tool to clarify and simplify definitions and results in category theory and export them for use in diverse areas of mathematics and computer science. It is organised as an easy-to-cite reference manual, and will be of interest to category theorists and users of category theory alike.
Author : C.E. Aull
Publisher : Springer Science & Business Media
ISBN 13 : 9401704708
Total Pages : 418 pages
Book Rating : 4.4/5 (17 download)
Download or read book Handbook of the History of General Topology written by C.E. Aull and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.
Author : E. Vidal
Publisher : Springer
ISBN 13 : 3540384529
Total Pages : 235 pages
Book Rating : 4.5/5 (43 download)
Download or read book Geometrie Differentielle written by E. Vidal and published by Springer. This book was released on 2006-11-15 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ulrich Höhle
Publisher : Springer Science & Business Media
ISBN 13 : 1461550793
Total Pages : 722 pages
Book Rating : 4.4/5 (615 download)
Download or read book Mathematics of Fuzzy Sets written by Ulrich Höhle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory is a major attempt to provide much-needed coherence for the mathematics of fuzzy sets. Much of this book is new material required to standardize this mathematics, making this volume a reference tool with broad appeal as well as a platform for future research. Fourteen chapters are organized into three parts: mathematical logic and foundations (Chapters 1-2), general topology (Chapters 3-10), and measure and probability theory (Chapters 11-14). Chapter 1 deals with non-classical logics and their syntactic and semantic foundations. Chapter 2 details the lattice-theoretic foundations of image and preimage powerset operators. Chapters 3 and 4 lay down the axiomatic and categorical foundations of general topology using lattice-valued mappings as a fundamental tool. Chapter 3 focuses on the fixed-basis case, including a convergence theory demonstrating the utility of the underlying axioms. Chapter 4 focuses on the more general variable-basis case, providing a categorical unification of locales, fixed-basis topological spaces, and variable-basis compactifications. Chapter 5 relates lattice-valued topologies to probabilistic topological spaces and fuzzy neighborhood spaces. Chapter 6 investigates the important role of separation axioms in lattice-valued topology from the perspective of space embedding and mapping extension problems, while Chapter 7 examines separation axioms from the perspective of Stone-Cech-compactification and Stone-representation theorems. Chapters 8 and 9 introduce the most important concepts and properties of uniformities, including the covering and entourage approaches and the basic theory of precompact or complete [0,1]-valued uniform spaces. Chapter 10 sets out the algebraic, topological, and uniform structures of the fundamentally important fuzzy real line and fuzzy unit interval. Chapter 11 lays the foundations of generalized measure theory and representation by Markov kernels. Chapter 12 develops the important theory of conditioning operators with applications to measure-free conditioning. Chapter 13 presents elements of pseudo-analysis with applications to the Hamilton–Jacobi equation and optimization problems. Chapter 14 surveys briefly the fundamentals of fuzzy random variables which are [0,1]-valued interpretations of random sets.
Author : Peter T. Johnstone
Publisher : Cambridge University Press
ISBN 13 : 9780521337793
Total Pages : 398 pages
Book Rating : 4.3/5 (377 download)
Download or read book Stone Spaces written by Peter T. Johnstone and published by Cambridge University Press. This book was released on 1982 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified treatment of the corpus of mathematics that has developed out of M. H. Stone's representation theorem for Boolean algebras (1936) which has applications in almost every area of modern mathematics.
Author : Raghib Abu-saris
Publisher : World Scientific
ISBN 13 : 9814490342
Total Pages : 358 pages
Book Rating : 4.8/5 (144 download)
Download or read book Mathematics And Mathematics Education, Procs Of The Third Intl Palestinian Conf written by Raghib Abu-saris and published by World Scientific. This book was released on 2002-05-24 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers a wide range of areas in mathematics and mathematics education. There is emphasis on applied mathematics, including partial differential equations, dynamical systems, and difference equations. Other areas represented include algebra and number theory, statistics, and issues in mathematics education.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)
Author : Kouei Sekigawa
Publisher : World Scientific
ISBN 13 : 9814548952
Total Pages : 158 pages
Book Rating : 4.8/5 (145 download)
Download or read book Complex Structures And Vector Fields written by Kouei Sekigawa and published by World Scientific. This book was released on 1995-06-28 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary focus of this workshop concerns the interplay between the rich variety of structures and infinitesimal methods. The topics included in the volume are complex and harmonic analysis, complex algebraic geometry, differential geometry, mathematical physics and topology.
