Author: Susan DellingerPublisher:
ISBN: 9780137328352
Category : Psychology
Languages : en
Pages : 232
Book Description
Geometric Combinatorics
Author: Ezra MillerPublisher: American Mathematical Soc.
ISBN: 0821837362
Category : Combinatorial analysis
Languages : en
Pages : 705
Book Description
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.
Geometrics
Author: Publisher: B.E.S. Publishing
ISBN: 9781438012414
Category : Games & Activities
Languages : en
Pages : 32
Book Description
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.
Geometric Group Theory
Author: Cornelia DruĊ£uPublisher: American Mathematical Soc.
ISBN: 1470411040
Category : Mathematics
Languages : en
Pages : 841
Book Description
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.
Analysis and Modeling of Relationships Between Accidents and the Geometric and Traffic Characteristics of the Interstate System
Author: Julie Anna FeePublisher:
ISBN:
Category : Express highways
Languages : en
Pages : 108
Book Description
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.
Geometric Relativity
Author: Dan A. LeePublisher: American Mathematical Soc.
ISBN: 147045081X
Category : Differential equations, Partial
Languages : en
Pages : 361
Book Description
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.
Ruler and Compass
Author: Andrew SuttonPublisher: Bloomsbury Publishing USA
ISBN: 0802717764
Category : Mathematics
Languages : en
Pages : 65
Book Description
Presents an introduction to the origins and principles of geometry, describing geometric constructions that can be achieved through the use of rulers and compasses.
Geometric Morphometrics for Biologists
Author: Miriam ZelditchPublisher: Academic Press
ISBN: 0123869048
Category : Mathematics
Languages : en
Pages : 489
Book Description
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
Geometric Asymptotics
Author: Victor GuilleminPublisher: American Mathematical Soc.
ISBN: 0821816330
Category : Mathematics
Languages : en
Pages : 500
Book Description
Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and present some of the recent advances, using the language of differential geometry as a unifying influence.
Geometrics
Author: Jack (Designer) ClucasPublisher: Sticker by Number Geometric Puzzles
ISBN: 9781780555867
Category :
Languages : en
Pages : 42
Book Description
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.
