Map Functions
Download Map Functions PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Map Functions book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Map Functions
This book departs from typical cartography textbooks, which tend to focus on the characteristics of the methods and means of expression. Instead, it offers an explanation of the individual perspective on the map as a specific product of civilization, one that constitutes a component of social communication. The layout highlights the essential property of cartographic notation, namely: the way of forming the map’s content elements, adjusted to its purpose. This property is ensured thanks to the dimension of reference units in relation to the observation scale of the objects, and by topological consistency between the reference units system and real layout of the objects. An exploration of the characteristics of various ways of depicting a map’s content elements, organized in the reference units dimension, is preceded by a general section accentuating the position of cartography among other sciences, as well as the definition and general properties of a map. The book’s closing chapter includes a separate textbook overview of the applications of taxonomic methods in cartography.
Smooth Functions and Maps
The book contains a consistent and sufficiently comprehensive theory of smooth functions and maps insofar as it is connected with differential calculus. The scope of notions includes, among others, Lagrange inequality, Taylor’s formula, finding absolute and relative extrema, theorems on smoothness of the inverse map and on conditions of local invertibility, implicit function theorem, dependence and independence of functions, classification of smooth functions up to diffeomorphism. The concluding chapter deals with a more specific issue of critical values of smooth mappings. In several chapters, a relatively new technical approach is used that allows the authors to clarify and simplify some of the technically difficult proofs while maintaining full integrity. Besides, the book includes complete proofs of some important results which until now have only been published in scholarly literature or scientific journals (remainder estimates of Taylor’s formula in a nonconvex area (Chapter I, §8), Whitney's extension theorem for smooth function (Chapter I, §11) and some of its corollaries, global diffeomorphism theorem (Chapter II, §5), results on sets of critical values of smooth mappings and the related Whitney example (Chapter IV). The text features multiple examples illustrating the results obtained and demonstrating their accuracy. Moreover, the book contains over 150 problems and 19 illustrations. Perusal of the book equips the reader to further explore any literature basing upon multivariable calculus.
Cartography - Maps Connecting the World
This book is an important volume in the series on the state-of-art research in Cartography and GI Science. It is a collection of selected peer-reviewed papers organized into contemporary topics of research, presented at the 27th International Cartographic Conference (ICC) in Rio de Janeiro. This is the 3rd edition of selected ICA conference papers published by Springer Lectures in Geoinformation and Cartography. The conference topic is “maps connecting the world,” and Brazilian cartographers and geo-information scientists are honored to welcome their peers from all over the world to the event, which will present some of the most important recent advances in cartography research and GI science. The most relevant papers will be selected for the Springer book and these will be organized into five sections according to topic area to provide a valuable cartography and GI science reference work