Introduction to Mathematical Techniques used in GIS
Introduction to Mathematical Techniques used in GIS

Author: Peter Dale

Publisher: CRC Press

Published: 2004-10-14

Total Pages: 226

ISBN-13: 9780415334143

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To understand the output from a geographic information system, one must understand the quality of the data that is entered into the system, the algorithms driving the data processing, and the limitations of the graphic displays. Introduction to Mathematical Techniques Used in GIS explains to nonmathematicians the fundamentals that support the manipulation and display of geographic information. It focuses on basic mathematical techniques, building upon a series of steps that enable a deeper understanding of the complex forms of manipulation that arise in the handling of spatially related data. The book moves rapidly through a wide range of data transformations, outlining the techniques involved. Many are precise, building logically on underlying assumptions. Others are based upon statistical analysis and the pursuit of the optimum rather than the perfect and definite solution. By understanding the mathematics behind the gathering, processing, and display of information, GIS professionals can advise others on the integrity of results, the quality of the information, and the safety of using it.

Mathematical Techniques in GIS, Second Edition
Mathematical Techniques in GIS, Second Edition

Author: Peter Dale

Publisher: CRC Press

Published: 2014-05-15

Total Pages: 364

ISBN-13: 146659554X

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The second edition of a bestseller, Mathematical Techniques in GIS demystifies the mathematics used in the manipulation of spatially related data. The author takes a step-by-step approach through the basics of arithmetic, algebra, geometry, trigonometry and calculus that underpin the management of such data. He then explores the use of matrices, determinants and vectors in the handling of geographic information so that the data may be analyzed and displayed in two-dimensional form either in the visualization of the terrain or as map projections. See What’s New in the Second Edition: Summaries at the end of each chapter Worked examples of techniques described Additional material on matrices and vectors Further material on map projections New material on spatial correlation A new section on global positioning systems Written for those who need to make use geographic information systems but have a limited mathematical background, this book introduces the basic statistical techniques commonly used in geographic information systems and explains best-fit solutions and the mathematics behind satellite positioning. By understanding the mathematics behind the gathering, processing, and display of information, you can better advise others on the integrity of results, the quality of the information, and the safety of using it.

Mathematical Techniques in GIS
Mathematical Techniques in GIS

Author: Peter Dale

Publisher: CRC Press

Published: 2014-05-15

Total Pages: 359

ISBN-13: 1466595558

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The second edition of a bestseller, Mathematical Techniques in GIS demystifies the mathematics used in the manipulation of spatially related data. The author takes a step-by-step approach through the basics of arithmetic, algebra, geometry, trigonometry and calculus that underpin the management of such data. He then explores the use of matrices, de

Spatial Mathematics
Spatial Mathematics

Author: Sandra Lach Arlinghaus

Publisher: CRC Press

Published: 2013-06-26

Total Pages: 302

ISBN-13: 146650532X

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In terms of statistics, GIS offers many connections. With GIS, data are gathered, displayed, summarized, examined, and interpreted to discover patterns. Spatial Mathematics: Theory and Practice through Mapping uses GIS as a platform to teach mathematical concepts and skills through visualization of numbers. It examines theory and practice from disparate academic disciplines such as geography, mathematics, physics, and general social science. This approach allows students to grapple with biodiversity, crime, natural hazards, climate, energy, water, and other relevant real-world issues of the twenty-first century. Includes QR Codes Linked to Animated Maps, a Mapping Activity Site, or to an Interactive Webpage, Creating an Interactive Resource That Stays Relevant The book integrates competing philosophical views of the world: synthesis and analysis. These two approaches yield different results and employ different tools. This book considers both approaches to looking at real-world issues that have mathematics as a critical, but often unseen, component. This approach shows readers how to use mathematics to consider the broad problem at hand and to explore diverse realms in the worlds of geography and mathematics and in their interface. A truly interdisciplinary text, the book bridges the worlds of mathematics and geography and demonstrates how they are inextricably linked. It takes advantage of the convergence in citizen science, STEM education, and mapping that help readers become critical consumers of data—understanding its content, quality, limitations, and benefits. It provides thorough grounding in the analytical, statistical, and computational skills required for working in any field that uses geospatial technologies—not just surveyors and remote sensing analysts.

Computing in Geographic Information Systems
Computing in Geographic Information Systems

Author: Narayan Panigrahi

Publisher: CRC Press

Published: 2014-07-10

Total Pages: 311

ISBN-13: 1482223147

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Capable of acquiring large volumes of data through sensors deployed in air, land, and sea, and making this information readily available in a continuous time frame, the science of geographical information system (GIS) is rapidly evolving. This popular information system is emerging as a platform for scientific visualization, simulation, and computation of spatio-temporal data. New computing techniques are being researched and implemented to match the increasing capability of modern-day computing platforms and easy availability of spatio-temporal data. This has led to the need for the design, analysis, development, and optimization of new algorithms for extracting spatio-temporal patterns from a large volume of spatial data. Computing in Geographic Information Systems considers the computational aspects, and helps students understand the mathematical principles of GIS. It provides a deeper understanding of the algorithms and mathematical methods inherent in the process of designing and developing GIS functions. It examines the associated scientific computations along with the applications of computational geometry, differential geometry, and affine geometry in processing spatial data. It also covers the mathematical aspects of geodesy, cartography, map projection, spatial interpolation, spatial statistics, and coordinate transformation. The book discusses the principles of bathymetry and generation of electronic navigation charts. The book consists of 12 chapters. Chapters one through four delve into the modeling and preprocessing of spatial data and prepares the spatial data as input to the GIS system. Chapters five through eight describe the various techniques of computing the spatial data using different geometric and statically techniques. Chapters nine through eleven define the technique for image registration computation and measurements of spatial objects and phenomenon. Examines cartographic modeling and map projection Covers the mathematical aspects of different map projections Explores some of the spatial analysis techniques and applications of GIS Introduces the bathymetric principles and systems generated using bathymetric charts Explains concepts of differential geometry, affine geometry, and computational geometry Discusses popular analysis and measurement methods used in GIS This text outlines the key concepts encompassing GIS and spatio-temporal information, and is intended for students, researchers, and professionals engaged in analysis, visualization, and estimation of spatio-temporal events.

GIS Fundamentals
GIS Fundamentals

Author: Stephen Wise

Publisher: CRC Press

Published: 2018-09-03

Total Pages: 340

ISBN-13: 1315360608

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With GIS technology increasingly available to a wider audience on devices from apps on smartphones to satnavs in cars, many people routinely use spatial data in a way which used to be the preserve of GIS specialists. However spatial data is stored and analyzed on a computer still tends to be described in academic texts and articles which require specialist knowledge or some training in computer science. Developed to introduce computer science literature to geography students, GIS Fundamentals, Second Edition provides an accessible examination of the underlying principles for anyone with no formal training in computer science. See What’s New in the Second Edition: Coverage of the use of spatial data on the Internet Chapters on databases and on searching large databases for spatial queries Improved coverage on route-finding Improved coverage of heuristic approaches to solving real-world spatial problems International standards for spatial data The book begins with a brief but detailed introduction to how computers work and how they are programmed, giving anyone with no previous computer science background a foundation to understand the remainder of the book. As with all parts of the book there are also suggestions for further sources of reading. The book then describes the ways in which vector and raster data can be stored and how algorithms are designed to perform fundamental operations such as detecting where lines intersect. From these simple beginnings the book moves into the more complex structures used for handling surfaces and networks and contains a detailed account of what it takes to determine the shortest route between two places on a network. The final sections of the book review problems, such as the "Travelling Salesman" problem, which are so complex that it is not known whether an optimum solution exists. Using clear, concise language, but without sacrificing technical rigour, the book gives readers an understanding of what it takes to produce systems which allow them to find out where to make their next purchase and how to drive to the right place to collect it.

Geospatial Analysis
Geospatial Analysis

Author: Dr Michael J de Smith

Publisher: The Winchelsea Press

Published: 2018

Total Pages: 602

ISBN-13: 1912556057

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Geospatial Analysis: A Comprehensive Guide to Principles, Techniques and Software Tools originated as material to accompany the spatial analysis module of MSc programmes at University College London delivered by the principal author, Dr Mike de Smith. The project was discussed with Professors Longley and Goodchild. They kindly agreed to contribute to the contents of the Guide itself. As such, this Guide may be seen as a companion to the pioneering book on Geographic Information Systems and Science (now changed to Science and Systems) by Longley, Goodchild, Maguire and Rhind, particularly the chapters that deal with spatial analysis and modeling. Their participation has also facilitated links with broader “spatial literacy” and spatial analysis programmes. Notable amongst these are the GIS&T Body of Knowledge materials provided by the Association of American Geographers together with the spatial educational programmes provided through UCL and UCSB. The formats in which this Guide has been published have proved to be extremely popular, encouraging us to seek to improve and extend the material and associated resources further. Many academics and industry professionals have provided helpful comments on previous editions, and universities in several parts of the world have now developed courses which make use of the Guide and the accompanying resources. Workshops based on these materials have been run in Ireland, the USA, East Africa, Italy and Japan, and a Chinese version of the Guide (2nd ed.) has been published by the Publishing House of Electronics Industry, Beijing, PRC, www.phei.com.cn in 2009. A Chinese version of this 6th edition is due to be published in 2021 by Science Press.

Attraction and Potential
Attraction and Potential

Author: M.M. Rahman

Publisher: Atlantic Publishers & Dist

Published: 2007-06

Total Pages: 356

ISBN-13: 9788126907977

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This Book Covers The Syllabi Of Mathematics Prescribed For B.A., B.Sc. (H), M.A. And M.Sc. Courses At Indian Universities. The Stress Has Been Given On Fundamental Ideas, So That The Students May Grasp It Easily. Each Topic Has Been Introduced And Developed In As Simple And Straightforward Manner As Possible And Well Within The Comprehension Of Students Of All Categories. Articles Are Arranged In A Systematic Order. Beginning With The Study Of Attraction Of A Rod, The Book Covers Attraction Of Disc At Any Point, Attraction Of A Spherical Shell And A Solid Sphere, The Potential Of A Rod And Circular Disc, Potential Of Spherical Shells And Solid Spheres, The Work Done By Mutual Attractive Forces, General Theorems And Equipotential Surfaces.The Fundamental Principles Involved Have Been Amply Illustrated By Diagrams And Worked Out Examples, So That The Students May Understand The Methods Clearly. Most Of The Questions Provided Herein Have Been Taken From Question Papers Of Various Universities. This Will Definitely Facilitate Preparation For Examinations. While The Book Is Indispensable For The Graduate And Postgraduate Students Of Mathematics, It Is Highly Useful For The Aspirants Of Upsc, State Public Services And Other Competitive Examinations.

Vector Algebra and Calculus
Vector Algebra and Calculus

Author: Hari Kishan

Publisher: Atlantic Publishers & Dist

Published: 2007-05-19

Total Pages: 452

ISBN-13: 9788126908066

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The Present Book Aims At Providing A Detailed Account Of The Basic Concepts Of Vectors That Are Needed To Build A Strong Foundation For A Student Pursuing Career In Mathematics. These Concepts Include Addition And Multiplication Of Vectors By Scalars, Centroid, Vector Equations Of A Line And A Plane And Their Application In Geometry And Mechanics, Scalar And Vector Product Of Two Vectors, Differential And Integration Of Vectors, Differential Operators, Line Integrals, And Gauss S And Stoke S Theorems.It Is Primarily Designed For B.Sc And B.A. Courses, Elucidating All The Fundamental Concepts In A Manner That Leaves No Scope For Illusion Or Confusion. The Numerous High-Graded Solved Examples Provided In The Book Have Been Mainly Taken From The Authoritative Textbooks And Question Papers Of Various University And Competitive Examinations Which Will Facilitate Easy Understanding Of The Various Skills Necessary In Solving The Problems. In Addition, These Examples Will Acquaint The Readers With The Type Of Questions Usually Set At The Examinations. Furthermore, Practice Exercises Of Multiple Varieties Have Also Been Given, Believing That They Will Help In Quick Revision And In Gaining Confidence In The Understanding Of The Subject. Answers To These Questions Have Been Verified Thoroughly. It Is Hoped That A Thorough Study Of This Book Would Enable The Students Of Mathematics To Secure High Marks In The Examinations. Besides Students, The Teachers Of The Subject Would Also Find It Useful In Elucidating Concepts To The Students By Following A Number Of Possible Tracks Suggested In The Book.