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Universal Spaces And Mappings
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Book Synopsis Universal Spaces and Mappings by : S.D. Iliadis
Download or read book Universal Spaces and Mappings written by S.D. Iliadis and published by Elsevier. This book was released on 2005-01-19 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Universal Spaces and Mappings is devoted to universality problems. A new approach to these problems is given using some specific spaces. Since the construction of these specific spaces is set-theoretical, the given theory can be applied to different topics of Topology such as: universal mappings, dimension theory, action of groups, inverse spectra, isometrical embeddings, and so on. Universal spaces Universal mappings Dimension theory Actions of groups Isometric Universal Spaces
Book Synopsis Fractals and Universal Spaces in Dimension Theory by : Stephen Lipscomb
Download or read book Fractals and Universal Spaces in Dimension Theory written by Stephen Lipscomb and published by Springer Science & Business Media. This book was released on 2008-10-28 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, for metric spaces the quest for universal spaces in dimension theory spanned approximately a century of mathematical research. The history breaks naturally into two periods - the classical (separable metric) and the modern (not-necessarily separable metric). The classical theory is now well documented in several books. This monograph is the first book to unify the modern theory from 1960-2007. Like the classical theory, the modern theory fundamentally involves the unit interval. Unique features include: * The use of graphics to illustrate the fractal view of these spaces; * Lucid coverage of a range of topics including point-set topology and mapping theory, fractal geometry, and algebraic topology; * A final chapter contains surveys and provides historical context for related research that includes other imbedding theorems, graph theory, and closed imbeddings; * Each chapter contains a comment section that provides historical context with references that serve as a bridge to the literature. This monograph will be useful to topologists, to mathematicians working in fractal geometry, and to historians of mathematics. Being the first monograph to focus on the connection between generalized fractals and universal spaces in dimension theory, it will be a natural text for graduate seminars or self-study - the interested reader will find many relevant open problems which will create further research into these topics.
Book Synopsis Univalent Functions and Teichmüller Spaces by : O. Lehto
Download or read book Univalent Functions and Teichmüller Spaces written by O. Lehto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph grew out of the notes relating to the lecture courses that I gave at the University of Helsinki from 1977 to 1979, at the Eidgenossische Technische Hochschule Zurich in 1980, and at the University of Minnesota in 1982. The book presumably would never have been written without Fred Gehring's continuous encouragement. Thanks to the arrangements made by Edgar Reich and David Storvick, I was able to spend the fall term of 1982 in Minneapolis and do a good part of the writing there. Back in Finland, other commitments delayed the completion of the text. At the final stages of preparing the manuscript, I was assisted first by Mika Seppala and then by Jouni Luukkainen, who both had a grant from the Academy of Finland. I am greatly indebted to them for the improvements they made in the text. I also received valuable advice and criticism from Kari Astala, Richard Fehlmann, Barbara Flinn, Fred Gehring, Pentti Jarvi, Irwin Kra, Matti Lehtinen, I1ppo Louhivaara, Bruce Palka, Kurt Strebel, Kalevi Suominen, Pekka Tukia and Kalle Virtanen. To all of them I would like to express my gratitude. Raili Pauninsalo deserves special thanks for her patience and great care in typing the manuscript. Finally, I thank the editors for accepting my text in Springer-Verlag's well known series. Helsinki, Finland June 1986 Olli Lehto Contents Preface. ... v Introduction ...
Book Synopsis Weil-Petersson Metric on the Universal Teichmuller Space by : Leon Armenovich Takhtadzhi︠a︡n
Download or read book Weil-Petersson Metric on the Universal Teichmuller Space written by Leon Armenovich Takhtadzhi︠a︡n and published by American Mathematical Soc.. This book was released on 2006 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this memoir, we prove that the universal Teichmuller space $T(1)$ carries a new structure of a complex Hilbert manifold and show that the connected component of the identity of $T(1)$ -- the Hilbert submanifold $T {0 (1)$ -- is a topological group. We define a Weil-Petersson metric on $T(1)$ by Hilbert space inner products on tangent spaces, compute its Riemann curvature tensor, and show that $T(1)$ is a Kahler-Einstein manifold with negative Ricci and sectional curvatures. We introduce and compute Mumford-Miller-Morita characteristic forms for the vertical tangent bundle of the universal Teichmuller curve fibration over the universal Teichmuller space. As an application, we derive Wolpert curvature formulas for the finite-dimensional Teichmuller spaces from the formulas for the universal Teichmuller space. We study in detail the Hilbert manifold structure on $T {0 (1)$ and characterize points on $T {0 (1)$ in terms of Bers and pre-Bers embeddings by proving that the Grunsky operators $B {1 $ and The results of this memoir were presented in our e-prints: Weil-Petersson metric on the universal Teichmuller space I. Curvature properties and Chern forms, arXiv:math.CV/0312172 (2003), and Weil-Petersson metric on the universal Teichmuller space II. Kahler potential and period mapping, arXiv:math.CV/0406408 (2004).
Book Synopsis The Road to Universal Logic by : Arnold Koslow
Download or read book The Road to Universal Logic written by Arnold Koslow and published by Springer. This book was released on 2014-10-10 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a collection of papers in honor of the fiftieth birthday of Jean-Yves Béziau. These 25 papers have been written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Arnon Avron, John Corcoran, Wilfrid Hodges, Laurence Horn, Lloyd Humbertsone, Dale Jacquette, David Makinson, Stephen Read, and Jan Woleński. It is a state-of-the-art source of cutting-edge studies in the new interdisciplinary field of universal logic. The papers touch upon a wide range of topics including combination of logic, non-classical logic, square and other geometrical figures of opposition, categorical logic, set theory, foundation of logic, philosophy and history of logic (Aristotle, Avicenna, Buridan, Schröder, MacColl). This book offers new perspectives and challenges in the study of logic and will be of interest to all students and researchers interested the nature and future of logic.
Book Synopsis Weil-Petersson Metric on the Universal Teichmüller Space by : Leon Armenovich Takhtadzhi︠a︡n
Download or read book Weil-Petersson Metric on the Universal Teichmüller Space written by Leon Armenovich Takhtadzhi︠a︡n and published by American Mathematical Soc.. This book was released on with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this memoir, we prove that the universal Teichmuller space $T(1)$ carries a new structure of a complex Hilbert manifold and show that the connected component of the identity of $T(1)$ -- the Hilbert submanifold $T {0 (1)$ -- is a topological group. We define a Weil-Petersson metric on $T(1)$ by Hilbert space inner products on tangent spaces, compute its Riemann curvature tensor, and show that $T(1)$ is a Kahler-Einstein manifold with negative Ricci and sectional curvatures. We introduce and compute Mumford-Miller-Morita characteristic forms for the vertical tangent bundle of the universal Teichmuller curve fibration over the universal Teichmuller space. As an application, we derive Wolpert curvature formulas for the finite-dimensional Teichmuller spaces from the formulas for the universal Teichmuller space. We study in detail the Hilbert manifold structure on $T {0 (1)$ and characterize points on $T {0 (1)$ in terms of Bers and pre-Bers embeddings by proving that the Grunsky operators $B {1 $ and The results of this memoir were presented in our e-prints: Weil-Petersson metric on the universal Teichmuller space I. Curvature properties and Chern forms, arXiv:math.CV/0312172 (2003), and Weil-Petersson metric on the universal Teichmuller space II. Kahler potential and period mapping, arXiv:math.CV/0406408 (2004).
Book Synopsis The Universal Instructor, Or, Self-culture for All. [With Illustrations and Maps.] by : Ward, Lock and co, ltd
Download or read book The Universal Instructor, Or, Self-culture for All. [With Illustrations and Maps.] written by Ward, Lock and co, ltd and published by . This book was released on 1884 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Differential Geometry, Calculus of Variations, and Their Applications by : George M. Rassias
Download or read book Differential Geometry, Calculus of Variations, and Their Applications written by George M. Rassias and published by CRC Press. This book was released on 2023-05-31 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.
Book Synopsis Universal Ontology of Geographic Space: Semantic Enrichment for Spatial Data by : Podobnikar, Toma
Download or read book Universal Ontology of Geographic Space: Semantic Enrichment for Spatial Data written by Podobnikar, Toma and published by IGI Global. This book was released on 2012-03-31 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: A universal approach to the ontology of geographic space has already been, and is going to be, a comprehensive task for establishing more effective spatial models. The concept of a universal spatial ontology should be independent of location, culture, and time. It should be fundamental and universal in the same way that the number p defines the ratio between the diameter and the circumference of a circle. The term universal therefore means all-embracing and for general propose. Universal Ontology of Geographic Space: Semantic Enrichment for Spatial Data aims to escalate the current scope of research to support the development of semantically interoperable systems of geographic space. This reference will aid university lecturers and professors, students, researchers, developers of spatial applications.
Book Synopsis An Invitation to General Algebra and Universal Constructions by : George M. Bergman
Download or read book An Invitation to General Algebra and Universal Constructions written by George M. Bergman and published by Springer. This book was released on 2015-02-05 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.
Book Synopsis Universal Algebra, Algebraic Logic, and Databases by : B. Plotkin
Download or read book Universal Algebra, Algebraic Logic, and Databases written by B. Plotkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern algebra, which not long ago seemed to be a science divorced from real life, now has numerous applications. Many fine algebraic structures are endowed with meaningful contents. Now and then practice suggests new and unexpected structures enriching algebra. This does not mean that algebra has become merely a tool for applications. Quite the contrary, it significantly benefits from the new connections. The present book is devoted to some algebraic aspects of the theory of databases. It consists of three parts. The first part contains information about universal algebra, algebraic logic is the subject of the second part, and the third one deals with databases. The algebraic material of the flI'St two parts serves the common purpose of applying algebra to databases. The book is intended for use by mathematicians, and mainly by algebraists, who realize the necessity to unite theory and practice. It is also addressed to programmers, engineers and all potential users of mathematics who want to construct their models with the help of algebra and logic. Nowadays, the majority of professional mathematicians work in close cooperation with representatives of applied sciences and even industrial technology. It is neces sary to develop an ability to see mathematics in different particular situations. One of the tasks of this book is to promote the acquisition of such skills.
Book Synopsis A Primer on Mapping Class Groups by : Benson Farb
Download or read book A Primer on Mapping Class Groups written by Benson Farb and published by Princeton University Press. This book was released on 2012 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. A Primer on Mapping Class Groups begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmüller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.
Book Synopsis Universal Principles of Architecture by : WAI Architecture Think Tank
Download or read book Universal Principles of Architecture written by WAI Architecture Think Tank and published by Rockport Universal. This book was released on 2023-10-31 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Universal Principles of Architecture is a concise, visual introduction to 100 of the most fundamental elements of architecture.
Book Synopsis Advanced DBA Certification Guide and Reference for DB2 Universal Database V8 for Linux, UNIX, and Windows by : Dwaine Snow
Download or read book Advanced DBA Certification Guide and Reference for DB2 Universal Database V8 for Linux, UNIX, and Windows written by Dwaine Snow and published by Prentice Hall Professional. This book was released on 2003 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: Straight from IBM, Advanced DBA Certification Guide and Reference for DB2 Universal Database v8for Linux, UNIX, and Windowsis the definitive guide to enterprise-class DB2 v8 administration - andthe onlyauthoritative self-study guide for IBM's new DB2 advanced DBA exam. Delivers proventechniques for enterprise-class security, user management, recovery, scalability, optimization,troubleshooting, remote administration, and more! CD-ROM: DB2 Universal Database v8 EnterpriseServer Edition trial version plus complete documentation.
Book Synopsis Constant Mean Curvature Surface, Harmonic Map and Universal Teichmüller Space by : Tom Yau-Heng Wan
Download or read book Constant Mean Curvature Surface, Harmonic Map and Universal Teichmüller Space written by Tom Yau-Heng Wan and published by . This book was released on 1991 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Universal Methods of Design by : Bella Martin
Download or read book Universal Methods of Design written by Bella Martin and published by . This book was released on 2012-02 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Universal Methods of Design is an immensely useful survey of research and design methods used by today's top practitioners, and will serve as a crucial reference for any designer grappling with really big problems. This book has a place on every designer's bookshelf, including yours!" —David Sherwin, Principal Designer at frog and author of Creative Workshop: 80 Challenges to Sharpen Your Design Skills "Universal Methods of Design is a landmark method book for the field of design. This tidy text compiles and summarizes 100 of the most widely applicable and effective methods of design—research, analysis, and ideation—the methods that every graduate of a design program should know, and every professional designer should employ. Methods are concisely presented, accompanied by information about the origin of the technique, key research supporting the method, and visual examples. Want to know about Card Sorting, or the Elito Method? What about Think-Aloud Protocols? This book has them all and more in readily digestible form. The authors have taken away our excuse for not using the right method for the job, and in so doing have elevated its readers and the field of design. UMOD is an essential resource for designers of all levels and specializations, and should be one of the go-to reference tools found in every designer’s toolbox." —William Lidwell, author of Universal Principles of Design, Lecturer of Industrial Design, University of Houston This comprehensive reference provides a thorough and critical presentation of 100 research methods, synthesis/analysis techniques, and research deliverables for human centered design, delivered in a concise and accessible format perfect for designers, educators, and students. Whether research is already an integral part of a practice or curriculum, or whether it has been unfortunately avoided due to perceived limitations of time, knowledge, or resources, Universal Methods of Design serves as an invaluable compendium of methods that can be easily referenced and utilized by cross-disciplinary teams in nearly any design project. This essential guide: - Dismantles the myth that user research methods are complicated, expensive, and time-consuming - Creates a shared meaning for cross-disciplinary design teams - Illustrates methods with compelling visualizations and case studies - Characterizes each method at a glance - Indicates when methods are best employed to help prioritize appropriate design research strategies Universal Methods of Design distills each method down to its most powerful essence, in a format that will help design teams select and implement the most credible research methods best suited to their design culture within the constraints of their projects.
Book Synopsis Universal Methods of Design Expanded and Revised by : Bruce Hanington
Download or read book Universal Methods of Design Expanded and Revised written by Bruce Hanington and published by Rockport Publishers. This book was released on 2019-12-03 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded and revised version of the best-selling Universal Methods of Design is a comprehensive reference that provides a thorough and critical presentation of 125 research methods, synthesis/analysis techniques, and research deliverables for human-centered design. The text and accompanying photos and graphics of this classic resource are delivered in a concise and accessible format perfect for designers, educators, and students. Information can be easily referenced and utilized by cross-disciplinary teams in nearly any design project. This new, expanded edition includes updated information on scenarios, secondary research, territory maps, and other chapters. The addition of 25 new chapters brings fresh relevance to the text with innovative design methods that have emerged since the first edition, such as backcasting, behavioral design, horizon scanning, and transition design. Universal Methods of Designdistills each method down to its essence, in a format that helps design teams select and implement the most credible research methods suited to their design culture.
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