Introduction To Mathematical Techniques Used In Gis
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| Author | : Peter Dale |
| Publisher | : CRC Press |
| Total Pages | : 226 |
| Release | : 2004-10-14 |
| Genre | : Technology & Engineering |
| ISBN | : 9780415334143 |
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.
| Author | : Peter Dale |
| Publisher | : CRC Press |
| Total Pages | : 350 |
| Release | : 2014-05-15 |
| Genre | : Mathematics |
| ISBN | : 1466595558 |
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
| Author | : Narayan Panigrahi |
| Publisher | : CRC Press |
| Total Pages | : 311 |
| Release | : 2014-07-10 |
| Genre | : Mathematics |
| ISBN | : 1482223147 |
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.
| Author | : Ningchuan Xiao |
| Publisher | : SAGE |
| Total Pages | : 335 |
| Release | : 2015-11-09 |
| Genre | : Technology & Engineering |
| ISBN | : 1473933463 |
Geographic information systems (GIS) have become increasingly important in helping us understand complex social, economic, and natural dynamics where spatial components play a key role. The critical algorithms used in GIS, however, are notoriously difficult to both teach and understand, in part due to the lack of a coherent representation. GIS Algorithms attempts to address this problem by combining rigorous formal language with example case studies and student exercises. Using Python code throughout, Xiao breaks the subject down into three fundamental areas: Geometric Algorithms Spatial Indexing Spatial Analysis and Modelling With its comprehensive coverage of the many algorithms involved, GIS Algorithms is a key new textbook in this complex and critical area of geography.
| Author | : Hari Kishan |
| Publisher | : Atlantic Publishers & Dist |
| Total Pages | : 160 |
| Release | : 2006 |
| Genre | : Coordinates |
| ISBN | : 9788126906048 |
The Present Book Coordinate Geometry Of Two Dimensions Aims At Providing The Students With A Detailed Study Of Polar Coordinates, Polar Equations Of A Straight Line And A Circle, Polar Equations Of Conics, General Equation Of Second Degree And System Of Conics The Topics Included In The Ugc Syllabus.Primarily Meant For Students Of B.Sc./B.A. Of Several Indian Universities, The Book Exactly Covers The Prescribed Syllabus. It Neither Includes The Irrelevant Nor Escapes The Essential Topics. Its Approach Is Explanatory, Lucid And Comprehensive. The Analytic Explanation Of The Subject Matter Is Very Systematic Which Would Enable The Students To Assess And Thereby Solve The Related Problems Easily. Sufficient Number Of High-Graded Solved Examples Provided In The Book Facilitate Better Understanding Of The Various Skills Necessary In Solving The Problems. In Addition, Practice Exercises Of Multiple Varieties Will Undoubtedly Prove Helpful In Quick Revision Of The Subject. The Figures And Also The Answers Provided In The Book Are Accurate And Verified Thoroughly.A Proper Study Of The Book Will Definitely Bring To Students A Brilliant Success. Even Teachers Will Find It Useful In Elucidating The Subject To The Students Of Mathematics.
| Author | : Dr Michael J de Smith |
| Publisher | : The Winchelsea Press |
| Total Pages | : 602 |
| Release | : 2018 |
| Genre | : Science |
| ISBN | : 1912556057 |
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.
| Author | : Hari Kishan |
| Publisher | : Atlantic Publishers & Dist |
| Total Pages | : 628 |
| Release | : 2007 |
| Genre | : Differential calculus |
| ISBN | : 9788126908202 |
| Author | : Hari Kishan |
| Publisher | : Atlantic Publishers & Dist |
| Total Pages | : 452 |
| Release | : 2007-05-19 |
| Genre | : Calculus |
| ISBN | : 9788126908066 |
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.
| Author | : Daryab Singh |
| Publisher | : Atlantic Publishers & Dist |
| Total Pages | : 362 |
| Release | : 2005 |
| Genre | : |
| ISBN | : 9788126904778 |
| Author | : Hari Kishan |
| Publisher | : Atlantic Publishers & Dist |
| Total Pages | : 324 |
| Release | : 2005 |
| Genre | : |
| ISBN | : 9788126905607 |
Primarily Designed As A Textbook, Trigonometry Is A Unique Treatise On Vectors, Aiming At Providing A Fairly Complete Account Of The Basic Concepts Required To Build A Strong Foundation For A Student Endeavouring To Study This Subject. The Analytical Approach To The Major Theories Inverse Circular Functions, De-Moivre S Theorem, Hyperbolic Functions, Gregory S Series, Trigonometrical Expansions And Many More Makes The Book Highly Self-Contained And Comprehensive Guide That Succeeds In Making The Concepts Easily Understandable. All The Elementary Principles And Fundamental Concepts Have Been Explained Rigorously, Leaving No Scope For Illusion Or Confusion. The Focus Throughout The Text Has Been On Presenting The Subject Matter In A Well-Knit Manner And Lucid Style, So That Even A Student With Average Mathematical Skill Would Find It Accessible. In Addition, The Book Provides Numerous Well-Graded Solved Examples, Mostly Having Been Asked In Various University And Competitive Examinations, Which Will Facilitate Easy Understanding Besides Acquainting The Students With A Variety Of Questions.It Is Hoped That The Book Would Be Highly Useful For The Students And Teachers Of Mathematics. Students Aspiring To Successfully Accomplish Engineering And Also Those Preparing For Various Competitive Examinations Are Likely To Find This Book Of Much Help.
