Mathematical Foundation of GIS 9787040615227 (奧)沃夫岡.凱恩斯(Wolf
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物品所在地：中國大陸
原出版社：高等教育
物品所在地：中國大陸
原出版社：高等教育
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| *完成訂單後正常情形下約兩周可抵台。 *本賣場提供之資訊僅供參考，以到貨標的為正確資訊。 印行年月：202405*若逾兩年請先於私訊洽詢存貨情況，謝謝。 台灣(台北市)在地出版社，每筆交易均開具統一發票，祝您中獎最高1000萬元。 書名：Mathematical Foundation of GIS ISBN：9787040615227 出版社：高等教育 著編譯者：(奧)沃夫岡.凱恩斯(Wolfgang Kainz)吳華意 頁數：210 所在地：中國大陸 *此為代購商品 書號：1648426 可大量預訂，請先連絡。 【台灣高等教育出版社簡體書】 Mathematical Foundation of GIS 787040615227 (奧)沃夫岡.凱恩斯(Wolfgang Kainz)吳華意 內容簡介 地理信息系統（GIS）起源於1960年代，發展至今已成為處理空間數據的主要工具和科學。GIS中的許多基礎理論和核心思想，如對時間和空間概念的理解、對空間特徵的描述、對空間數據的處理等，均對GIS從業者的數學基礎提出了一定的要求。本書介紹與GIS相關的必備數學知識，包括數理邏輯、幾何、代數、拓撲學、集合論、圖論、概率與統計以及不確定性理論，這些內容涉及GIS數據建模、幾何計算、拓撲分析、空間推繹等，對於理解諸如怎樣表達空間特徵模型、怎樣從給定的事實得出邏輯結論、怎樣進行坐標變換，乃至遙感圖像分類和機器學習等方面都有所幫助。書中還給出了這些數學知識在GIS中的應用實例，便於讀者加深對所學內容的理解。 本書可作為地理信息、遙感、測繪等專業高年級本科生和研究生教材，也適合GIS從業者閱讀。學習本書的基本要求是掌握高中數學基本知識。目錄 PrologPreface About the Authors Chapter 1 Spatial Modeling in GIS 1 1 Real World Phenomena and Their Abstractions 1 1 1 Spatial Data and Information 1 2 Concepts of Space and Time 1 2 1 Pre-Newtonian Concepts of Space and Time 1 2 2 Classical Concepts of Space and Time 1 2 3 Contemporary Concepts of Space and Time 1 2 4 Concepts of Space and Time in Spatial Information Systems 1 3 The Real-World and Its Models 1 3 1 Maps 1 3 2 Databases 1 3 3 Space and Time in Real-World Models 1 4 Real-World Models and Their Representation 1 4 1 Spatial Data Models 1 4 2 Spatiotemporal Data Models 1 5 Summary Chapter 2 Propositional Logic 2 1 Assertion and Proposition 2 2 Logical Operators 2 3 Types of Propositional Forms 2 4 Applications in GIS 2 5 Exercises Chapter 3 Predicate Logic 3 1 Predicates 3 2 Quantifers 3 3 Quantifers and Logical Operators 3 4 Compact Notation 3 5 Applications in GIS 3 6 Exercises Chapter 4 Logical Inference 4 1 Logical Arguments 4 2 Proving Arguments Valid in Propositional Logic 4 2 1 Proving Arguments Valid with Truth Tables 4 2 2 Proving Arguments Valid with Rules of Inference 4 3 Proving Arguments Valid in Predicate Logic 4 4 Applications in GIS 4 5 Exercises Chapter 5 Set Theory 5 1 Sets and Elements 5 2 Relations between Sets 5 3 Operations on Sets 5 4 Applications in GIS 5 5 Exercises Chapter 6 Relations and Functions 6 1 Cartesian Product 6 2 Binary Relations 6 2 1 Relations and Predicates 6 2 2 Graphic Representation of Binary Relations 6 2 3 Special Properties of Relations 6 2 4 Composition of Relations 6 3 Functions 6 3 1 Composition of Functions 6 3 2 Classes of Functions 6 4 Applications in GIS 6 5 Exercises Chapter 7 Coordinate Systems and Transformations 7 1 Coordinate Systems 7 1 1 Cartesian Coordinate System 7 1 2 Polar Coordinate System 7 1 3 Transformations between Cartesian and Polar Coordinate Systems 7 1 4 Geographic Coordinate System 7 2 Vectors and Matrices 7 2 1 Vectors 7 2 2 Matrices 7 3 Transformations 7 3 1 Geometric Transformations 7 3 2 Combination of Transformations 7 3 3 Homogeneous Coordinates 7 3 4 Transformation between Coordinate Systems 7 4 Applications in GIS 7 5 Exercises Chapter 8 Algebraic Structures 8 1 Components of An Algebra 8 1 1 Signature and Variety 8 1 2 Identity and Zero Elements 8 2 Varieties of Algebras 8 2 1 Group 8 2 2 Field 8 2 3 Boolean Algebra 8 2 4 Vector Space 8 3 Homomorphism 8 4 Applications in GIS 8 5 Exercises Chapter 9 Topology 9 1 Topological Spaces 9 1 1 Metric Spaces and Neighborhoods 9 1 2 Topology and Open Sets 9 1 3 Continuous Functions and Homeomorphisms 9 1 4 Alternate Definition of A Topological Space 9 2 Base， Interior， Closure， Boundary， and Exterior 9 3 Classification of Topological Spaces 9 3 1 Separation Axioms 9 3 2 Compactness 9 3 3 Size 9 3 4 Connectedness 9 4 Simplicial Complexes and Cell Complexes 9 4 1 Simplexes and Polyhedra 9 4 2 Cells and Cell Complexes 9 5 Applications in GIS 9 5 1 Spatial Data Sets 9 5 2 Topological Transformations 9 5 3 Topological Consistency 9 5 4 Spatial Relations 9 6 Exercises Chapter 10 Ordered Sets 10 1 Posets 10 1 1 Order Diagrams 10 1 2 Upper and Lower Bounds 10 2 Lattices 10 3 Normal Completion 10 3 1 Special Elements 10 3 2 Normal Completion Algorithm 10 4 Applications in GIS 10 5 Exercises Chapter 11 Graph Theory 11 1 Introducing Graphs 11 1 1 Basic Concepts 11 1 2 Path， Circuit， Connectivity 11 2 Important Classes of Graphs 11 2 1 Direct 詳細資料或其他書籍請至台灣高等教育出版社查詢，查後請於PChome商店街私訊告知ISBN或書號，我們即儘速上架。 |
