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Geometrics
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Book Synopsis Geometric Group Theory by : Cornelia Druţu
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.
Book Synopsis Geometric Relativity by : Dan A. Lee
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.
Book Synopsis Geometric Morphometrics for Biologists by : Miriam Zelditch
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
Author :Jack (Designer) Clucas Publisher :Sticker by Number Geometric Puzzles ISBN 13 :9781780555867 Total Pages :42 pages Book Rating :4.5/5 (558 download)
Book Synopsis Geometrics by : Jack (Designer) Clucas
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.
Book Synopsis Geometric Combinatorics by : Ezra Miller
Download or read book Geometric Combinatorics written by Ezra Miller and published by American Mathematical Soc.. This book was released on 2007 with total page 705 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. This text is a compilation of expository articles at the interface between combinatorics and geometry.
Book Synopsis Analysis and Modeling of Relationships Between Accidents and the Geometric and Traffic Characteristics of the Interstate System by : Julie Anna Fee
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 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.
Book Synopsis Geometric Integration Theory by : Hassler Whitney
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.
Book Synopsis Ruler and Compass by : Andrew Sutton
Download or read book Ruler and Compass written by Andrew Sutton and published by Bloomsbury Publishing USA. This book was released on 2009-11-03 with total page 65 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents an introduction to the origins and principles of geometry, describing geometric constructions that can be achieved through the use of rulers and compasses.
Book Synopsis Extrinsic Geometric Flows by : Bennett Chow
Download or read book Extrinsic Geometric Flows written by Bennett Chow and published by American Mathematical Soc.. This book was released on 2020-05-14 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extrinsic geometric flows are characterized by a submanifold evolving in an ambient space with velocity determined by its extrinsic curvature. The goal of this book is to give an extensive introduction to a few of the most prominent extrinsic flows, namely, the curve shortening flow, the mean curvature flow, the Gauß curvature flow, the inverse-mean curvature flow, and fully nonlinear flows of mean curvature and inverse-mean curvature type. The authors highlight techniques and behaviors that frequently arise in the study of these (and other) flows. To illustrate the broad applicability of the techniques developed, they also consider general classes of fully nonlinear curvature flows. The book is written at the level of a graduate student who has had a basic course in differential geometry and has some familiarity with partial differential equations. It is intended also to be useful as a reference for specialists. In general, the authors provide detailed proofs, although for some more specialized results they may only present the main ideas; in such cases, they provide references for complete proofs. A brief survey of additional topics, with extensive references, can be found in the notes and commentary at the end of each chapter.
Download or read book Geometrics written by and published by B.E.S. Publishing. This book was released on 2018-12 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes 12 striking portraits to complete with sticker shapes. Ten pages of sticker shapes at the back of the book lead you on a quest to complete a wide variety of portraits, including a bear or a panther, a monkey or a unicorn, a kingfisher sitting on a branch or a hot air balloon sailing across the desert sky. Includes perforated pages.
Book Synopsis Geometric Tools for Computer Graphics by : Philip Schneider
Download or read book Geometric Tools for Computer Graphics written by Philip Schneider and published by Elsevier. This book was released on 2002-10-10 with total page 1053 pages. Available in PDF, EPUB and Kindle. Book excerpt: Do you spend too much time creating the building blocks of your graphics applications or finding and correcting errors? Geometric Tools for Computer Graphics is an extensive, conveniently organized collection of proven solutions to fundamental problems that you'd rather not solve over and over again, including building primitives, distance calculation, approximation, containment, decomposition, intersection determination, separation, and more. If you have a mathematics degree, this book will save you time and trouble. If you don't, it will help you achieve things you may feel are out of your reach. Inside, each problem is clearly stated and diagrammed, and the fully detailed solutions are presented in easy-to-understand pseudocode. You also get the mathematics and geometry background needed to make optimal use of the solutions, as well as an abundance of reference material contained in a series of appendices. Features - Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors. - Covers problems relevant for both 2D and 3D graphics programming. - Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you. - Provides the math and geometry background you need to understand the solutions and put them to work. - Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode. - Resources associated with the book are available at the companion Web site www.mkp.com/gtcg.* Filled with robust, thoroughly tested solutions that will save you time and help you avoid costly errors.* Covers problems relevant for both 2D and 3D graphics programming.* Presents each problem and solution in stand-alone form allowing you the option of reading only those entries that matter to you.* Provides the math and geometry background you need to understand the solutions and put them to work.* Clearly diagrams each problem and presents solutions in easy-to-understand pseudocode.* Resources associated with the book are available at the companion Web site www.mkp.com/gtcg.
Book Synopsis Geometric Design and Signalization Characteristics of Diamond Interchanges by : J. A. Nemeczky
Download or read book Geometric Design and Signalization Characteristics of Diamond Interchanges written by J. A. Nemeczky and published by . This book was released on 1972 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Lectures in Geometric Combinatorics by : Rekha R. Thomas
Download or read book Lectures in Geometric Combinatorics written by Rekha R. Thomas and published by American Mathematical Soc.. This book was released on 2006 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for an advanced undergraduate or beginning graduate student. The book starts with the basics of polytope theory. Schlegel and Gale diagrams are introduced as geometric tools to visualize polytopes in high dimension and to unearth bizarre phenomena in polytopes. The heart of the book is a treatment of the secondary polytope of a point configuration and its connections to the statepolytope of the toric ideal defined by the configuration. These polytopes are relatively recent constructs with numerous connections to discrete geometry, classical algebraic geometry, symplectic geometry, and combinatorics. The connections rely on Grobner bases of toric ideals and other methods fromcommutative algebra. The book is self-contained and does not require any background beyond basic linear algebra. With numerous figures and exercises, it can be used as a textbook for courses on geometric, combinatorial, and computational aspects of the theory of polytopes.
Book Synopsis Modern Geometric Structures and Fields by : Сергей Петрович Новиков
Download or read book Modern Geometric Structures and Fields written by Сергей Петрович Новиков and published by American Mathematical Soc.. This book was released on 2006 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the basics of Riemannian geometry in its modern form as geometry of differentiable manifolds and the important structures on them. This book shows that Riemannian geometry has a great influence to several fundamental areas of modern mathematics and its applications.
Book Synopsis Geometric Analysis and Function Spaces by : Steven George Krantz
Download or read book Geometric Analysis and Function Spaces written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 1993-01-01 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings into focus the synergistic interaction between analysis and geometry by examining a variety of topics in function theory, real analysis, harmonic analysis, several complex variables, and group actions. Krantz's approach is motivated by examples, both classical and modern, which highlight the symbiotic relationship between analysis and geometry. Creating a synthesis among a host of different topics, this book is useful to researchers in geometry and analysis and may be of interest to physicists, astronomers, and engineers in certain areas. The book is based on lectures presented at an NSF-CBMS Regional Conference held in May 1992.
Book Synopsis Psycho-Geometrics by : Susan Dellinger
Download or read book Psycho-Geometrics written by Susan Dellinger and published by . This book was released on 1989 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
