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A complete, self-contained introduction to a powerful and resurgingmathematical discipline . Combinatorial Geometry presents andexplains with complete proofs some of the most important resultsand methods of this relatively young mathematical discipline,started by Minkowski, Fejes Toth, Rogers, and Erd???s. Nearly halfthe results presented in this book were discovered over the pasttwenty years, and most have never before appeared in any monograph.Combinatorial Geometry will be of particular interest tomathematicians, computer scientists, physicists, and materialsscientists interested in computational geometry, robotics, sceneanalysis, and computer-aided design. It is also a superb textbook,complete with end-of-chapter problems and hints to their solutionsthat help students clarify their understanding and test theirmastery of the material. Topics covered include: * Geometric number theory * Packing and covering with congruent convex disks * Extremal graph and hypergraph theory * Distribution of distances among finitely many points * Epsilon-nets and Vapnik--Chervonenkis dimension * Geometric graph theory * Geometric discrepancy theory * And much more
A comprehensive treatment of a fundamental tool for solving problems in computational and combinatorial geometry.
Insightful, interesting and a lot of fun' Ravi Subramanian 'An honest and extremely detailed recounting of the evolution of the market’ BusinessLine 'A delightful book on the stock markets’ Free Press Journal A rip-roaring history of the Indian stock market post liberalization. The wise and wily Lalchand Gupta takes you on an exciting journey through Dalal Street in this comprehensive history of the stock market since 1991. From tech booms and tax evasion to banks and money laundering; scams and crashes to fixers and investors, Lala has seen it all. Bringing the story up to the present, this special fifth anniversary edition also makes keen observations about the developments on the trading floor of the Bombay Stock Exchange in more recent times and doles out smart investing hacks in Lala’s inimitable style. Bulls, Bears and Other Beasts is a must-read for anyone interested in the financial health of the country as well as those who want to know about the sensational events that led up to the far more sterile stock-market operations of the present day.
"Based on a lecture series given by the authors at a satellite meeting of the 2006 International Congress of Mathematicians and on many articles written by them and their collaborators, this volume provides a comprehensive up-to-date survey of several core areas of combinatorial geometry. It describes the beginnings of the subject, going back to the nineteenth century (if not to Euclid), and explains why counting incidences and estimating the combinatorial complexity of various arrangements of geometric objects became the theoretical backbone of computational geometry in the 1980s and 1990s. The combinatorial techniques outlined in this book have found applications in many areas of computer ...
This 2005 book deals with interest topics in Discrete and Algorithmic aspects of Geometry.
Computational Geometry is an area that provides solutions to geometric problems which arise in applications including Geographic Information Systems, Robotics and Computer Graphics. This Handbook provides an overview of key concepts and results in Computational Geometry. It may serve as a reference and study guide to the field. Not only the most advanced methods or solutions are described, but also many alternate ways of looking at problems and how to solve them.
This comprehensive and well-organized book presents the concepts and principles of earthquake resistant design of structures in an easy-to-read style. The use of these principles helps in the implementation of seismic design practice. The book adopts a step-by-step approach, starting from the fundamentals of structural dynamics to application of seismic codes in analysis and design of structures. The text also focusses on seismic evaluation and retrofitting of reinforced concrete and masonry buildings. The text has been enriched with a large number of diagrams and solved problems to reinforce the understanding of the concepts. Intended mainly as a text for undergraduate and postgraduate students of civil engineering, this text would also be of considerable benefit to practising engineers, architects, field engineers and teachers in the field of earthquake resistant design of structures.
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This book discusses ideas for stakeholders to develop strategies to access and use financial products and services such as deposits, loans, and fund transfer mechanism, insurance, payment services, and intermediaries, distribution channels at economical prices in order to cater to the needs of the poor and underprivileged people. Financial inclusion ensures ease of access, availability, and usage of the financial products and services to all the sections of the society. The book will help in recognizing the role of financial inclusion as one of the main drivers in reducing income inequality and thus supporting sustainable economic growth of the countries, especially of an emerging economy. The book provides conceptual and practical ideas from the practitioners, best practices from the experts, and empirical views from the researchers on the best practices and how to mitigate the challenges and issues plaguing the development of the financial inclusion.
Exact algorithms for dealing with geometric objects are complicated, hard to implement in practice, and slow. Over the last 20 years a theory of geometric approximation algorithms has emerged. These algorithms tend to be simple, fast, and more robust than their exact counterparts. This book is the first to cover geometric approximation algorithms in detail. In addition, more traditional computational geometry techniques that are widely used in developing such algorithms, like sampling, linear programming, etc., are also surveyed. Other topics covered include approximate nearest-neighbor search, shape approximation, coresets, dimension reduction, and embeddings. The topics covered are relatively independent and are supplemented by exercises. Close to 200 color figures are included in the text to illustrate proofs and ideas.