Geometrics

Download or read book Geometric Group Theory written by Cornelia Druţu and published by American Mathematical Soc.. This book was released on 2018-03-28 with total page 841 pages. Available in PDF, EPUB and Kindle. Book excerpt: The key idea in geometric group theory is to study infinite groups by endowing them with a metric and treating them as geometric spaces. This applies to many groups naturally appearing in topology, geometry, and algebra, such as fundamental groups of manifolds, groups of matrices with integer coefficients, etc. The primary focus of this book is to cover the foundations of geometric group theory, including coarse topology, ultralimits and asymptotic cones, hyperbolic groups, isoperimetric inequalities, growth of groups, amenability, Kazhdan's Property (T) and the Haagerup property, as well as their characterizations in terms of group actions on median spaces and spaces with walls. The book contains proofs of several fundamental results of geometric group theory, such as Gromov's theorem on groups of polynomial growth, Tits's alternative, Stallings's theorem on ends of groups, Dunwoody's accessibility theorem, the Mostow Rigidity Theorem, and quasiisometric rigidity theorems of Tukia and Schwartz. This is the first book in which geometric group theory is presented in a form accessible to advanced graduate students and young research mathematicians. It fills a big gap in the literature and will be used by researchers in geometric group theory and its applications.

Download or read book Geometric Origami written by Faye Goldman and published by Simon and Schuster. This book was released on 2014-04-01 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric Origami is a sophisticated origami kit for advanced origami artists. Shape up with this mind-blowing origami set that includes patterns inspired by the exquisite artwork of Heinz Strobl’s Snapology Project. Create 15 paper projects using the specially designed strips included in the set: Tetrahedron, Hexahedron, Octahedron, Dodecahedron, Icosahedron, Truncated Tetrahedron, Cuboctahedron, Icosidodecahedron, Rhombic Triacontahedron, Snub Dodecahedron, Zonohedron, and Buckyballs. Don’t worry—there are even a few pronounceable shapes like an Egg and a Geometric Bracelet, plus more surprises. Gain a whole new perspective on geometry and the world of origami. Great fun for the entire family—or for your local geometry professor. Geometric Origami offers the next generation of art and paper crafting for origami enthusiasts.

Download or read book Geometrics written by Jack (Designer) Clucas and published by Sticker by Number Geometric Puzzles. This book was released on 2018-11 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: A stunning follow-up to Animetrics, this innovative 'colour by numbers' sticker book contains 12 striking pictures of animals, sea creatures, famous landmarks and scenes to complete. The numbered shapes on each page can be filled with corresponding stickers to create beautiful, intricate artworks. Projects include a spectacular seahorse, a magical unicorn and a breathtaking Statue of Liberty. Featuring over 1,400 geometric stickers, it's the ultimate sticker-by-numbers challenge for children and adults alike.

Download or read book Geometric Integration Theory written by Hassler Whitney and published by Princeton University Press. This book was released on 2015-12-08 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A complete theory of integration as it appears in geometric and physical problems must include integration over oriented r-dimensional domains in n-space; both the integrand and the domain may be variable. This is the primary subject matter of the present book, designed to bring out the underlying geometric and analytic ideas and to give clear and complete proofs of the basic theorems. Originally published in 1957. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Download or read book Geometric Relativity written by Dan A. Lee and published by American Mathematical Soc.. This book was released on 2019-09-25 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in general relativity are essentially geometric in nature, in the sense that they can be understood in terms of Riemannian geometry and partial differential equations. This book is centered around the study of mass in general relativity using the techniques of geometric analysis. Specifically, it provides a comprehensive treatment of the positive mass theorem and closely related results, such as the Penrose inequality, drawing on a variety of tools used in this area of research, including minimal hypersurfaces, conformal geometry, inverse mean curvature flow, conformal flow, spinors and the Dirac operator, marginally outer trapped surfaces, and density theorems. This is the first time these topics have been gathered into a single place and presented with an advanced graduate student audience in mind; several dozen exercises are also included. The main prerequisite for this book is a working understanding of Riemannian geometry and basic knowledge of elliptic linear partial differential equations, with only minimal prior knowledge of physics required. The second part of the book includes a short crash course on general relativity, which provides background for the study of asymptotically flat initial data sets satisfying the dominant energy condition.

Download or read book Analysis and Modeling of Relationships Between Accidents and the Geometric and Traffic Characteristics of the Interstate System written by Julie Anna Fee and published by . This book was released on 1969 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Principal findings of this study were that geometrics alone account for only a small portion of the variance in accidents and that no relationship could be established between fatalities and the geometrics studied. The geometrics studied include several types of interchanges, paved shoulders, sight distance, delineators, surface types, and other variables. Mathematical models were developed which can provide estimates of the average number of accidents on a particular type of highway or interchange, using the appropriate variables.

Download or read book Geometric Morphometrics for Biologists written by Miriam Zelditch and published by Academic Press. This book was released on 2012-09-24 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of Geometric Morphometrics for Biologists has been the primary resource for teaching modern geometric methods of shape analysis to biologists who have a stronger background in biology than in multivariate statistics and matrix algebra. These geometric methods are appealing to biologists who approach the study of shape from a variety of perspectives, from clinical to evolutionary, because they incorporate the geometry of organisms throughout the data analysis. The second edition of this book retains the emphasis on accessible explanations, and the copious illustrations and examples of the first, updating the treatment of both theory and practice. The second edition represents the current state-of-the-art and adds new examples and summarizes recent literature, as well as provides an overview of new software and step-by-step guidance through details of carrying out the analyses. - Contains updated coverage of methods, especially for sampling complex curves and 3D forms and a new chapter on applications of geometric morphometrics to forensics - Offers a reorganization of chapters to streamline learning basic concepts - Presents detailed instructions for conducting analyses with freely available, easy to use software - Provides numerous illustrations, including graphical presentations of important theoretical concepts and demonstrations of alternative approaches to presenting results