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Author: Sibe Mardesic
Publisher: Springer
ISBN: 3540479759
Category : Mathematics
Languages : en
Pages : 266
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Book Description
The aim of this international conference the third of its type was to survey recent developments in Geometric Topology and Shape Theory with an emphasis on their interaction. The volume contains original research papers and carefully selected survey of currently active areas. The main topics and themes represented by the papers of this volume include decomposition theory, cell-like mappings and CE-equivalent compacta, covering dimension versus cohomological dimension, ANR's and LCn-compacta, homology manifolds, embeddings of continua into manifolds, complement theorems in shape theory, approximate fibrations and shape fibrations, fibered shape, exact homologies and strong shape theory.
Author: Sibe Mardesic
Publisher: Springer
ISBN: 3540479759
Category : Mathematics
Languages : en
Pages : 266
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Book Description
The aim of this international conference the third of its type was to survey recent developments in Geometric Topology and Shape Theory with an emphasis on their interaction. The volume contains original research papers and carefully selected survey of currently active areas. The main topics and themes represented by the papers of this volume include decomposition theory, cell-like mappings and CE-equivalent compacta, covering dimension versus cohomological dimension, ANR's and LCn-compacta, homology manifolds, embeddings of continua into manifolds, complement theorems in shape theory, approximate fibrations and shape fibrations, fibered shape, exact homologies and strong shape theory.
Author: Leonor Godinho
Publisher: Springer
ISBN: 3319086669
Category : Mathematics
Languages : en
Pages : 476
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Book Description
Unlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity. The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects. The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.
Author: Iva Stavrov
Publisher: American Mathematical Soc.
ISBN: 1470456281
Category : Education
Languages : en
Pages : 243
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Book Description
This book introduces advanced undergraduates to Riemannian geometry and mathematical general relativity. The overall strategy of the book is to explain the concept of curvature via the Jacobi equation which, through discussion of tidal forces, further helps motivate the Einstein field equations. After addressing concepts in geometry such as metrics, covariant differentiation, tensor calculus and curvature, the book explains the mathematical framework for both special and general relativity. Relativistic concepts discussed include (initial value formulation of) the Einstein equations, stress-energy tensor, Schwarzschild space-time, ADM mass and geodesic incompleteness. The concluding chapters of the book introduce the reader to geometric analysis: original results of the author and her undergraduate student collaborators illustrate how methods of analysis and differential equations are used in addressing questions from geometry and relativity. The book is mostly self-contained and the reader is only expected to have a solid foundation in multivariable and vector calculus and linear algebra. The material in this book was first developed for the 2013 summer program in geometric analysis at the Park City Math Institute, and was recently modified and expanded to reflect the author's experience of teaching mathematical general relativity to advanced undergraduates at Lewis & Clark College.
Author: Janice VanCleave
Publisher: John Wiley & Sons
ISBN: 0471311413
Category : Juvenile Nonfiction
Languages : en
Pages : 246
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Book Description
How do you fold a sheet of paper into the shape of a whale? How doyou measure the area of a pizza pie? How can you draw a circlewithin a circle without lifting your pencil from the paper? Now you can discover the answers to these and other fascinatingquestions about elementary geometry--the study of shapes. Packedwith illustrations, Geometry for Every Kid uses simple problems andactivities to teach about acute and obtuse angles, parallel andperpendicular lines, plane and space figures, and much more! Byarranging the pieces of an intriguing Chinese puzzle called atangram, you'll explore all the different shapes you can form.You'll also learn how to create a colorful 3-D drawing that seemsto rise right off the page! And, by building a geoboard, you'lldiscover a quick, fun way to compare the area of differentgeometric figures. Each of the activities is broken down into its purpose, a list ofmaterials, step-by-step instructions, expected results, and an easyto understand explanation. Every project has been pretested and canbe performed safely and inexpensively in the classroom or athome. Also available in this series from Janice VanCleave: * ASTRONOMY FOR EVERY KID * BIOLOGY FOR EVERY KID * CHEMISTRY FOR EVERY KID * DINOSAURS FOR EVERY KID * EARTH SCIENCE FOR EVERY KID * GEOGRAPHY FOR EVERY KID * THE HUMAN BODY FOR EVERY KID * MATH FOR EVERY KID * PHYSICS FOR EVERY KID
Author: Michael P. Hitchman
Publisher: Jones & Bartlett Learning
ISBN: 0763754579
Category : Mathematics
Languages : en
Pages : 255
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Book Description
The content of Geometry with an Introduction to Cosmic Topology is motivated by questions that have ignited the imagination of stargazers since antiquity. What is the shape of the universe? Does the universe have and edge? Is it infinitely big? Dr. Hitchman aims to clarify this fascinating area of mathematics. This non-Euclidean geometry text is organized intothree natural parts. Chapter 1 provides an overview including a brief history of Geometry, Surfaces, and reasons to study Non-Euclidean Geometry. Chapters 2-7 contain the core mathematical content of the text, following the ErlangenProgram, which develops geometry in terms of a space and a group of transformations on that space. Finally chapters 1 and 8 introduce (chapter 1) and explore (chapter 8) the topic of cosmic topology through the geometry learned in the preceding chapters.
Author: Bernard Buxton
Publisher: Springer Science & Business Media
ISBN: 9783540611233
Category : Computer vision
Languages : en
Pages : 758
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Book Description
Author: Frank Klawonn
Publisher: Springer Science & Business Media
ISBN: 1447127331
Category : Computers
Languages : en
Pages : 265
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Book Description
This book is an essential tool for second-year undergraduate students and above, providing clear and concise explanations of the basic concepts of computer graphics, and enabling the reader to immediately implement these concepts in Java 2D and/or 3D with only elementary knowledge of the programming language. Features: provides an ideal, self-contained introduction to computer graphics, with theory and practice presented in integrated combination; presents a practical guide to basic computer graphics programming using Java 2D and 3D; includes new and expanded content on the integration of text in 3D, particle systems, billboard behaviours, dynamic surfaces, the concept of level of detail, and the use of functions of two variables for surface modelling; contains many pedagogical tools, including numerous easy-to-understand example programs and end-of-chapter exercises; supplies useful supplementary material, including additional exercises, solutions, and program examples, at an associated website.
Author: Ana Cannas da Silva
Publisher: Springer
ISBN: 354045330X
Category : Mathematics
Languages : en
Pages : 240
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Book Description
The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.
Author: Michael Mosher
Publisher: Springer Nature
ISBN: 3030902676
Category : Science
Languages : en
Pages : 1074
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Book Description
This textbook is written to thoroughly cover the topic of introductory chemistry in detail—with specific references to examples of topics in common or everyday life. It provides a major overview of topics typically found in first-year chemistry courses in the USA. The textbook is written in a conversational question-based format with a well-defined problem solving strategy and presented in a way to encourage readers to “think like a chemist” and to “think outside of the box.” Numerous examples are presented in every chapter to aid students and provide helpful self-learning tools. The topics are arranged throughout the textbook in a "traditional approach" to the subject with the primary audience being undergraduate students and advanced high school students of chemistry.
Author: Taha Sochi
Publisher: Taha Sochi
ISBN:
Category : Mathematics
Languages : en
Pages : 237
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Book Description
This book contains the solutions of the exercises of my book: Introduction to Differential Geometry of Space Curves and Surfaces. These solutions are sufficiently simplified and detailed for the benefit of readers of all levels particularly those at introductory level.
