Spatial mathematics. Theory and practice through mapping (Q2843437)

This is a well-balanced state of the art book on spatial mathematical technics, geography databases, and various applications in theoretical geography with text written in xxvii+272 pages, divided into ten Chapters preceded by general introductory sections (Preface, Acknowledgements, Introduction, and Authors), and followed by concluding sections (Glossary, References, Further Readings, and Related Materials, and Index). Each chapter ends with a section containing the related theory and further practice through relevant Web sites accessible by the QR codes. This makes the book comprehensive and very useful for professional researches, practical applications, and for undergraduate and graduate students. It can also serve as a very good reference book.NEWLINENEWLINEChapters 1 and 2 deal with essentials of geometry on a sphere relevant to cartography. This includes theories of Earth's coordinate systems, Earth's models, various measurements on a sphere, and applications with practicing of determining locations on Earth. The main subjects of Chapter 3 are the analysis of transformations, set theory, raster and vector mapping, and applications in geographic data processing. Chapter 4 tackles the theoretical and practical issues related to methods of visual replication of the results by colors and numbers. Theoretical and practical aspects of scaling and constructions of dot density maps are given in Chapter 5 while Chapter 6 describes procedures and methods of data classification and analysis in producing maps. Chapter 7 contains various details on types of visualization of data through the hierarchy concept in cartography. Concepts of data distribution in some special conditions such as tornado emergencies are elaborated in Chapter 8. Chapter 9 contains details of map projection techniques including distortions and projected data comparisons using the online platform ArcGIS. The final Chapter 10 summarizes the past and current mapping approaches and offers hints about their possible development in future.